• Liverpool's approaches to tackling the educational attainment gap between mainstream pupils and looked after children (LAC)

      Stockton, Jim; Maher, Michael J. (University of ChesterLiverpool City Council, 2010-06)
      In October 2006 the Government Green Paper; 'Care Matters: Transforming the lives of Children and Young People in Care', outlined its proposals for the creation of Virtual Schools for Looked after Children (LAC) by setting out a radical package of proposals for transforming the lives of Children in Care (CiC). They noted the educational attainment gap between CiC and the wider school population was widening, leading to poorer life chances and much bleaker futures for children that had been looked after. The concept of the Virtual School (VS) has provoked much interest in England and Europe. The initial successes of the pilot LA(s) has meant that the programme is to be rolled out nationwide, albeit to claims that the Government's efforts are once again directed at symptoms rather than causes. However one thing is evident, and that is the political will to do the right thing. This dissertation examines the approaches to tackling the educational attainment gap between LAC and their mainstream peers. It investigates the deeper theoretical relationships required to tackle a holistic approach in developing a clearer strategy to assist the main driver as a concept of the VS. Liverpool's performance will be measured against its closest geographical, demographic and statistical neighbours. In conclusion recommendations will be offered to enhance the life chances for the future LAC of Liverpool.
    • Living with a very low fat diet

      Ellahi, Basma; Whitfield-Brown, Louisa M. (University of Chester, 2008-03)
      Aims: This study investigated compliance with the very low fat diet used by some clinics in the UK to treat severe hypertriglyceridemia and the patients’ experience of the diet. Methodology: Eight adults with severe hypertriglyceridemia attending the Lipid Clinic at Manchester Royal Infirmary, Manchester, UK took part in the study. Compliance with the therapeutic diet was assessed by analysis of telephone based diet histories and diet diaries using dietary assessment software. The patients’ experience of the diet was investigated using telephone based semi-structured qualitative interviews and analysed using thematic analysis. Main findings: The diet histories revealed the mean percentage energy contribution from fat was 22.5%. This is significantly higher than the target of 15% prescribed by the very low fat diet. The qualitative interviews revealed that patients considered complete compliance difficult. The patients understood the health benefits of the diet. Their level of adherence was affected by their perception of vulnerability to the health consequences of non-adherence. Barriers to adherence included lack of accessible nutritional information, increased patient burden, lack of appropriate food choices, other peoples’ ignorance with regard to the diet, lack of flavour and variety in the diet, a desire to broaden the palate, cost, social pressure to conform and negative experiences with dietitians. Enablers to compliance included nutritional awareness, desire to maintain good health, building on their nutritional knowledge base, behaviour and lifestyle modification, developing a routine, the support of family and friends and supportive eating environments. Conclusions: Compliance with the very low fat diet could be improved through extensive education on labelling, eating during special occasions such as Christmas, birthdays and eating out of home. Dietetic professionals need to work with food retailers and outlets to promote clear disclosure of the nutritional content of food to facilitate adherence to therapeutic diets.
    • Living with Multiple Sclerosis – exploring the effects of physical activity on quality of life

      Kennedy, Lynne; McGregor, Linda J. (University of Chester, 2017-08-31)
      Objective: To examine the effect of exercise on quality of life and investigate the perceived barriers to exercise participation. Methods: A qualitative study using semi-structured one-to-one interviews on 12 participants with multiple sclerosis. Results: Five qualitative themes were identified: environmental, personal, knowledge, quality of life, and taking control. Participants felt that discussing the benefits of physical activity engagement with a health professional and addressing problems such as transport would be helpful strategies for exercise engagement. All participants perceived that physical activity helped with quality of life. Conclusions: These findings indicate that exercise therapy is beneficial to quality of life and that physical activity should be promoted by the neurologist at diagnosis.
    • Longterm effects of preoperative carbohydrate loading for colorectal surgery

      Almiron-Roig, Eva; Commane, Daniel; Beadman, Claire (University of Chester, 2011-02)
      Recent changes in preoperative fasting guidelines have resulted in the development of preoperative carbohydrate drinks. Almost all research to date has examined the immediate/early postoperative metabolic and physiological effects, concluding beneficial clinical outcomes post surgery. The aim of this study was to test the hypothesis that preoperative carbohydrate loading results in longer term improvements in wellbeing, sustained return of postoperative physical function and better retention of muscle mass and nutritional status at a later (and potentially more clinically relevant) stage in the postoperative recovery period. This double-blinded placebo controlled randomised control trial took place at Salford Royal NHS Foundation Trust between 1st April 2008 and 31st January 2010. 10 males and 4 females, with a median age of 65.5 years, were included in the study and these were all listed for potentially curative colorectal cancer surgery. Each participant was assessed preoperatively, daily throughout their hospital admission and then at 30 days post surgery. Assessments included anthropometric measurements, analysis of dietary intake, physical activity and an evaluation of pain and well-being. The results showed that carbohydrate loading had no significant effects on anthropometric, dietary, physical or well-being parameters. However it was seen that pain scores in those patients who received carbohydrate loading were significantly lower (p=0.017) 30 days post surgery than those who received the placebo drinks. The trial was a pilot study and has shown that further research is needed to determine whether carbohydrate loading may have long-term clinical benefits.
    • Long‐term outcomes of cardiovascular rehabilitation: One year follow‐up concerning quality of life, physical activity and psychological state of health – a pilot study

      Buckley, John P.; Fallows, Stephen; Morris, Mike; Ilina, Viktoriia (University of Chester, 2014-10)
      Cardiovascular rehabilitation is known to be beneficial in short‐term and long‐term disease management and enhancing physical and psychological well‐being: the majority of recent evidence outlines that comprehensive cardiac rehabilitation has positive short term improvements in physical fitness, quality of life and psychological status, however, there is less data regarding similar long‐term outcomes of the programme. A recent systematic review highlighted the efficacy of exercise‐based cardiac rehabilitation towards reduction in mortality (medium to longer term studies) and in hospital admissions (short‐term studies). Further research should focus on evaluation of comprehensive programmes as far as quality of life, social and psychological status are less explored in research literature, compared to mortality and morbidity levels. Special considerations are advised to contribute into monitoring and management of anxiety and depression levels which may alter patients` quality of life and general health state. Lastly, the analysis of prolonged rehabilitation outcomes should be in a high priority, according to confirmation of continuous 12 months improvement in physical activity, depression and anxiety reduction after rehabilitation. Consequently, the future studies are recommended to investigate whether participants of cardiac rehabilitation services maintain the physical and psychological benefits, at one year, following programme and, consequently, to reveal effectiveness of these services.
    • “Looking from the outside in” – Emotional and cognitive reactions of sport, non-sport and ex-sport playing adults to initiation practices

      Lafferty, Moira E.; Gately, Joseph (University of Chester, 2017-09)
      Research examining hazing and the motives behind the events have received significant focus over recent years. While research has enhanced the understanding and provided interesting insight of hazing events, it has been done exclusively with those directly involved in the events. However, to date, research is yet to examine the perceptions from the wider general public and understand their opinions of hazing. The present study was an exploration in order to gain understanding of the general public’s emotional and cognitive response to modern day hazing events in the United Kingdom. Sixty-Seven participants of a mixed general public population completed quantitative and qualitative questions based on their experiences of watching hazing videos. Following each video, participants completed a self-report measure of arousal and I-PANAS-SF. In addition, participants were then required to answer 3 short qualitative questions on their perceptions of the videos viewed. Results of quantitative measures revealed that participant’s self-reported arousal and I-PANAS-SF scores were significantly effect by hazing videos. In addition, results of qualitative questioning revealed that participants provided a mixture of responses regarding hazing. In general, participants were accepting of events that involved no physical harm however, were also quick to highlight their disapproval of events where they perceived issues of hierarchy and power. While participants noted issues of hierarchy, participants generally, neglected any aspect of psychological harm that may occur following involvement in hazing events.
    • Lowering dietary carbohydrates to manage obesity and related disease: A systematic review and theoretical framework

      Fallows, Stephen; Verma, Radhika (University of Chester, 2012-09)
      This study aimed to evaluate the lowering of carbohydrates from conventionally recommended levels of ->55% of energy intake as a valid and safe treatment option for managing obesity and related disease. The study was a qualitative systematic review of fourteen randomized controlled studies, each with at least one study arm that lowered intake of carbohydrates to either ketogenic levels (->50g/) (Atkins type diet) or non-ketogenic levels including Zone type diets (>50g/d to 40-45% of energy intake). Low carbohydrate diets have generally implied increased protein intake to around 30% of energy intake. Outcomes evaluated included weight and fat loss; dyslipidemia; blood sugar control; hypertension; nutritional adequacy; hunger and satiety; adherence and safety. A synthesis of process, results and implications was used towards generating a theoretical weight maangement framework. In the short to medium term of up to six months both the ketogenic and non-ketogenic lowering of carbohydrates within the context of a calorie reduction of 300-750 kcal/day generated clinically meaningful weight loss results of 5-10% Lower-carbohydrates diet plans generated similar or better results for most of the main outcomes examined as comparted with conventional higher-carbohydrate/low-fat diet alternatives. Longer-term studies were few in number but weight loss results were in the range of 2-6% with no significant diet difference noted. Potential impact of ketogenic diets on dyslipidemia, renal and bone health needs further evaluation. When lowering carbohydrates or calories, nutritional adequacy may require maangement with the use of supplementation. Lowering carbohydrates may provide an important and useful strategy to achieve a regular daily caloriee deficit, generate clinically meaningful weight loss and improve related metabolic health markers. Recommended weight management protocols may be individualised based on a theoretical model that considers individual health risks and genetics, dietary preferences, carbohydrate sensitivity and is geared towards improved adherence.
    • MA: Critical and creative writing: writing dissertation

      Rees, Emma L E; Lamont, Joanna (University of ChesterUniversity of Chester, 2007-09)
      This dissertation contains an extract from a proposed novel for young adults called "Winter in Curio Crescent: The Hellhound and the Hypnotist" and a critical piece on "A reflection on the inherent didacticism in children's literature of the nineteenth century".
    • MA: Critical and creative writing: Writing dissertation

      Chantler, Ashley; Winchcombe, Matthew (University of ChesterEnglish department, 2007-09)
      This dissertation contains an extract from a proposed novel set in Gdansk between 1935-1937.
    • Male-only preserves: Homosocial environments in the nineteenth century

      Edwards, Carol (University of Chester, 2013)
      This dissertation explores those areas of nineteenth-century life from which women were excluded. Links are made throughout to literary texts as illustrations of how male-only groups were depicted in literature and how homosociality was represented. As well as describing the national picture, examples of male-only environments in Cheshire, which are still in existence in the twenty-first century, are used. The Introduction describes the background to the project and considers the development of male-only environments in the light of nineteenth-century attitudes to the respective roles of men and women. It reviews expectations with regard to men’s behaviour that were current at the beginning of the nineteenth century, and considers the changes in those attitudes that took place during Queen Victoria’s reign. The first chapter deals with public schools and the consequences for young boys of growing up in a female-free environment, paying particular regard to the aspirations of their parents, the pupils’ everyday lives and their relationships. Chapter 2 deals with adult male associations and societies: gentlemen’s clubs, Freemasonry, and examples of other local groups that survive today. It looks at their rules and rituals, specifically with regard to their attitude to the presence of women. The final chapter is concerned with intense male relationships and nineteenth-century public opinion about them; particular attention is given in this section to literary examples of close friendships between men and to the role of bachelors. Finally, the Conclusion reflects on the complexity of the subject matter and highlights the different perceptions, historical and contemporary, of the changes that took place during the nineteenth century; and considers how much, or little, has changed since then.
    • Malnutrition, enteral nutrition and the use of the percutaneous endoscopic gastrostomy

      Fallows, Stephen; Wolfendale, Christine; Eckersley, Deborah (University of Chester, 2014)
      The number of adult patients in the community receiving enteral feeding via a percutaneous endoscopic gastrostomy (PEG) is increasing. Identified problems in relation to PEG were highlighted by a community multidisciplinary team including delayed referrals and discharges. The study aimed to explore retrospectively outcomes in relation to PEG insertion following the implementation of a pilot community PEG placement care pathway. The number of adult patients in the community receiving enteral feeding via a percutaneous endoscopic gastrostomy (PEG) is increasing. Identified problems in relation to PEG were highlighted by a community multidisciplinary team including delayed referrals and discharges. The study aimed to explore retrospectively outcomes in relation to PEG insertion following the implementation of a pilot community PEG placement care pathway.The number of adult patients in the community receiving enteral feeding via a percutaneous endoscopic gastrostomy (PEG) is increasing. Identified problems in relation to PEG were highlighted by a community multidisciplinary team including delayed referrals and discharges. The study aimed to explore retrospectively outcomes in relation to PEG insertion following the implementation of a pilot community PEG placement care pathway. Data were analysed for a sample of participants over 18 years of age in three communities, served by a district general hospital in the North West of England. Group 1; ten participants managed on the community PEG placement care pathway and Group 2; ten participants who were not managed on community PEG placement care pathway with a similar primary diagnosis to Group 1. PEG insertion required to maintain nutritional status, hydration and/or medication administration for greater than fourteen days. Group 1 data for referral to treatment (RTT) waiting time was compared with the National Health Service (NHS) RTT waiting times for gastroenterology. Group 1 data for length of stay (LOS) following PEG insertion was compared to Group 2 data by conducting an Independent t‐test to analyse LOS between the two groups. A measure of central tendency obtained for LOS for Group 1 and Group 2 data was used in the calculation to estimate treatment cost. Group 1 data to estimate treatment cost was compared to Group 2 data by conducting an Independent t‐test to analyse treatment cost between the two groups. Data collection was obtained to establish if the hospital’s PEG information booklet was provided prior to PEG insertion. 6/10 participants in Group 1 had a RTT waiting time of 1 to 58 days. Median LOS for Group 1 was 4 days; Median LOS for Group 2 was 10 days. Group 1 had an estimated treatment cost of £1114.15 per patient; Group 2 had an estimated treatment cost of £2314.15 per patient. 7/10 Group 1 participants were provided with the hospital’s PEG information booklet at least one week prior to PEG insertion. A reduction in LOS, a RTT waiting time within 18 weeks and a lower estimated mean treatment cost were noted for Group 1 participants. Expansion of the exploratory study is required so the objectives generated can be challenged further.
    • Malnutrition; Can the Leeds screening tool identify haemodialysis patients at risk?

      Woodall, Alison; Morris, Mike; Bowra, Kim (University of ChesterLeeds Teaching Hospitals, 2014-11)
      There is global recognition of the need for early identification of those at risk of malnutrition. Nutritional screening has been advocated for systematically detecting and managing those at nutritional risk, triggering a dietetic referral where indicated. Dietetic assessment aims to minimise progression to overt malnutrition and ultimately, curtail the associated clinical and financial consequences. Patients receiving haemodialysis treatment are at increased risk of malnutrition. Generic nutritional screening tools are inherently limited in this population due to the observed variances in fluid status. There is currently no validated nutritional screening tool that is effective in this population. The present study aimed to test the effectiveness of the Leeds Nutritional Screening Tool (developed through pilot studies) in 140 representative haemodialysis patients. By means of a clinical audit, the clinical support worker tested the Leeds tool and the dietitian provided the criterion measure. A distinct feature was the inclusion of patients that were unable to fully complete answers, due to dementia, learning difficulties and a language barrier. Risk of malnutrition was evident in 49% of the Leeds sample. The Leeds tool showed good diagnostic accuracy (95%) with sensitivity and specificity comparable with other National Health Service tests. In turn, these results suggest that patients would be appropriately signposted for dietetic assessment, without wasting finite resources. Component analysis showed that the tool was well-balanced with a combination of objective and subjective measures and that it could be simplified by removal of a question on appetite, without affecting performance. Reliability testing was achieved by patient self-completion and by a nurse, both of whom produced consistent results with the clinical support worker. The tool was evaluated to have good practical acceptability amongst users. This research suggests that the Leeds tool can identify patients at risk of malnutrition, fulfilling the requirements needed to consider local implementation, alongside appropriate staff education. This research provide a sound framework for the development and testing of nutritional screening tools, in a field of variable study quality. It is hoped that the results will contribute to the wider audience, with further research needed to assess tool transferability amongst dialysis units.
    • Management development: A case study of Liverpool City Council

      Khan, Hussein (University of ChesterLiverpool City Council, 2007-05)
      Following a change in political and organisational leadership in 1999 Liverpool City Council has undergone a myriad of changes in order to improve service delivery and whilst reducing costs and bureaucracy. A key factor to achieving these aims was the recognition that for many years there had been a lack of investment in management development within the council and that service improvements were dependant on the skills and knowledge of managers at all levels and staff throughout the organisation. As part of a strategy known as the Liverpool Way the council aimed to achieve its 'Vision and Values' objectives by radically changing the culture and the behaviours of its employees through education, and to create a learning environment through which service improvements would continue to grow. Key to this strategy has been the development of front line managers through the Leadership Academy, middle managers through the Diploma in Management Studies (DMS) and senior managers through the Masters in Business Management (MBA) programme. This study determines through a mixed phenomenological/positivist approach, uses epistemology, qualitative and quantitative research to identify whether the development programmes are having a greater effect than other contributing factors on influencing managers performance and attitudes whilst testing the data against established theory. The study illustrates the investigation and analysis of the data, discusses the findings and uses the results as a basis to identify possible recommendations for the future.
    • A managers view of critical success factors necessary for the successful implementation of ERP

      Proctor, Tony; Turton, James W. (University of Chester, 2010-09)
      Organisations look to enterprise resource planning (ERP) as a significant strategic tool of competition. ERP plays an important role in today's enterprise management and is beginning to be the backbone of organisations. Although ERP has been recognised as a useful tool, in practice, there are many difficulties in compelling people to implement it effectively. In this case, how to help ERP's future effective implementation has already attracted the attention of several researchers. The goal of this research was to increase the knowledge base regarding Enterprise Resource Planning (ERP) Software implementation in the public sector. To this end, factors regarding benefits sought through ERP system implementation and critical factors surrounding successful ERP implementation were identified. In addition, the perception of project team members' satisfaction with modules implemented and their concerns about implementing ERP software were identified in this study. The results of this study provided recommendations for public sector organisations in order to increase their opportunity for successful ERP system implementation. However, there is no reason why this information cannot be considered to be useful to private sector organisations when considering ERP implementation projects. The literature review and results of this study suggested that the benefits sought during ERP system implementation included increased standardisation, better reporting, and reduced operational costs were recognised as goals of ERP software implementation, with the overarching goal to improve efficiency. Factors that were important to successful ERP system implementations were top management support, knowledgeable and experienced project managers and knowledgeable and committed team members. The study included recommendations for organisations to fully research ERP functionality prior to implementation, to implement strong change management, use other means of measuring return on investment, ensure employee buy-in and top management involvement and to avoid scope creep at all cost. In addition, a key element is to undertake some form of benchmarking exercise of existing systems prior to commencement as a measure of success of implementation of all or various elements of ERP.
    • Manchester Healthy Living Programme: A case study

      Fallows, Stephen; Ellison, Andrew (University of Chester, 2007-12)
      This paper reviews: health promotion initiatives; the evidence highlighting the need for such initiatives; and evaluates one health promotion initiative, the 'Manchester Healthy Living Programme'. This paper is separated in to two separate sections. Study 1. Evaluation of the Manchester Healthy Living Project. The evaluation involved a self-assessment questionnaire during the 10-week healthy living course. The questionnaire assessed the participants' knowledge, attitudes, and behaviour before and after the project. The 15 questions related to diet, exercise and lifestyle. 9 adults and 10 young people participated (n=19). The findings showed that all participants increased their self-assessed scores after the project when compared to before. The biggest increase was seen in the questions relating to knowledge. The findings lead onto the second study, which investigated the effectiveness of health initiatives in changing behaviour. Study 2. Health Promotion Initiatives and Behaviour Change. The second study addressed the findings from the Healthy Living Programme and reviewed evidence from similar health promotion initiatives, which assessed the effectiveness of health promotion. The findings showed that the methods for evaluation such as, interviews and long-term follow up studies show the greatest behaviour change, and that health promotion is more effective in relation to behaviour change when carried out on a one-one basis.
    • Marketing of UK universities overseas: An evaluation study of Chester University, University of Huddersfield and Staffordshire University

      Webb, Paul; Kavididevi, Kumar R. (University of Chester, 2009-11)
      The study focuses its attention on the various marketing and international marketing strategies used by UK Universities to determine the elements that can be considered by UK Universities in future while designing their marketing and international marketing strategies. Qualitative research methods have been adopted and the case studies of Chester University, University of Huddersfield and Staffordshire University have been considered to gain understanding of the perceptions of the universities’ officials. The themes emerging from the case study of the Universities & from the views of officials are used to derive a model using questionnaires and semi structure interviews as the research instruments. The research aim and question that is to be explained in the study is: How UK Universities are Marketing Overseas. The study illustrates the investigation and the data analysis. The study also tests the data against the relevant theory and discusses the findings and finally gives the possible recommendations. These recommendations can be used to further develop the marketing mix model for UK Universities or other similar models & these models can be used in future by UK Universities to plan their marketing and international marketing strategies.
    • Materialising meaning: Samuel Taylor Coleridge and George Eliot

      Davis, Jenny L. (University of Chester, 2012)
      George Eliot’s response to Romantic ideology is critically established. While most scholarship recognises the influence of William Wordsworth on her prose fiction, the affinities between Eliot’s prose and the poetry of Samuel Taylor Coleridge remain relatively unexplored. A wealth of criticism has established Coleridge’s importance to nineteenth-century philosophical and religious thought, as well as to aesthetic discourse; critical discussion of his poetic influence is usually linked with contemporary and later poets. He is, however, often invoked as a major influence on Eliot’s intellectual development. Evidence of Coleridge’s direct influence on Eliot’s fiction is difficult to substantiate; this study offers readings that diverge from previous analyses by foregrounding Eliot’s engagement with Coleridge’s language. Focus on the language used by Coleridge and Eliot reveals thematic and linguistic similarities, as well as convergences in their use of metaphor and symbolism. Where divergences exist, they are examined with the objective of establishing a development or progression in the way ideas and concepts are expressed in Eliot’s fiction. The nature of this progression is analysed in terms of Eliot’s increased preoccupation with materiality.
    • Mathematical analysis of some virus models

      Kavallaris, Nikos I.; Yan, Yubin; Gildea, Joe; Roberts, Jason A.; Useni, Paul F. (University of Chester, 2014-09)
      The Mathematical Analysis of some virus models such as SIR epidemic model, HIV infection model and Ebola virus model are hereby presented. The stability of both the SIR and HIV infection models were investigated using linearization method. The SIR model has an endemic infection when the equilibrium is unstable i.e R0 > 1, and attain a disease-free equilibrium with regards to the existing population when the equilibrium is asymptotically stable i.e R0 = ra+ < 1. The analysis shows that the threshold behavior is directly related to the relative removal rate and that an epidemic will reach its maximum when S = with a condition that I(t) = 0. Also, there is an oscillatory behavior of susceptible and that of infective at the zero point and highest point respectively. Then the homosexual population and T-cell infection models consisting of supply rate solution and that of clonal production solution were discussed. In particular the stability of T-cell infection model was also investigated for HIV virus and it was proven that the unique critical point is globally asymptotically stable.In the last chapter of this thesis, the formulation of EVD model and its numerical solution using Euler's method is also presented. Finally, the conclusion and future work suggestions are stated.
    • Mathematical Modelling and it's Applications in Biology, Ecology and Population Study

      Forrest-Owen, Owain (University of Chester, 2016-09-12)
      This thesis explores the topic of mathematical modelling involving the simulation of population growth associated with mathematical biology and more specifically ecology. Chapter 1 studies how populations are modelled by looking at single equation models as well as systems of equation models of continuous and discrete nature. We also consider interacting populations including predator-prey, competition and mutualism and symbiosis relationships. In Chapters 2 and 3, we review stability properties for both continuous and discrete cases including differential and difference equations respectively. For each case, we examine linear examples involving equilibrium solutions and stability theory, and non-linear examples by implementing eigenvalue, linearisation and Lyapunov methods. Chapter 4 is a study of the research paper - A Model of a Three Species Ecosystem with Mutualism Between The Predators by K. S. Reddy and N. C. Pattabhiramacharyulu [32]. Here, we study the basic definitions and assumptions of the model, examine different cases for equilibrium solutions, prove global stability of the system and implement numerical examples for the model before reviewing existence and uniqueness and permanence properties. In Chapter 5, we construct a discrete scheme of the model from Chapter 4. We do this in two ways, by using Euler's method to create one autonomous time-invariant form of the system, and utilising the method of piecewise constant arguments implemented in [6] to establish another autonomous time-invariant form of the system. For both discretisations, we study equilibrium solutions, stability, numerical examples and existence and uniqueness, and permanence properties. Finally, we conclude the findings of the thesis, summarising what we have discovered, stating new questions that arise from the investigation and examine how this work could be taken further and built upon in future.
    • Mathematical modelling of mutualism in population ecology

      Kavallaris, Nikos I.; Roberts, Jason A.; Rowntree, Andrew (University of Chester, 2014-09)
      This research dissertation focuses on the symbiotic interaction of mutualism, we give explanations as to what it is before mathematically modelling population dynamics of two species displaying mutualistic behaviour. Throughout the course of this dissertation, we shall be re-examining the work done in the book by Kot [16] and the paper by Joharjee and Roberts [32], whilst providing further explanations of the mathematics involved and the steps taken. We begin by constructing a model for mutualism before attempting to improve the model in order to make it more realistic. We go on to add delays to our improved model and determine the stability of its equilibrium points. We formulate models via piecewise constant arguments and via a simple Euler scheme before determining stability for both systems. A graphical comparison will then be made to explain the differences in behaviour between the two discretised systems.