Stability analysis of a continuous model of mutualism with delay dynamics

Hdl Handle:
http://hdl.handle.net/10034/609519
Title:
Stability analysis of a continuous model of mutualism with delay dynamics
Authors:
Roberts, Jason A.; Joharjee, Najwa G.
Abstract:
In this paper we introduce delay dynamics to a coupled system of ordinary differential equations which represent two interacting species exhibiting facultative mutualistic behaviour. The delays are represen- tative of the beneficial effects of the indirect, interspecies interactions not being realised immediately. We show that the system with delay possesses a continuous solution, which is unique. Furthermore we show that, for suitably-behaved, positive initial functions that this unique solution is bounded and remains positive, i.e. both of the components representing the two species remain greater than zero. We show that the system has a positive equilibrium point and prove that this point is asymptotically stable for positive solutions and that this stability property is not conditional upon the delays.
Affiliation:
University of Chester; King Abdul Aziz University
Citation:
Roberts, J. A., & Joharjee, N. G. (2016). Stability analysis of a continuous model of mutualism with delay dynamics. International Mathematical Forum, 11(10), 463-473. http://dx.doi.org/10.12988/imf.2016.616
Publisher:
Hikari Ltd
Journal:
International Mathematical Forum
Publication Date:
May-2016
URI:
http://hdl.handle.net/10034/609519
DOI:
10.12988/imf.2016.616
Additional Links:
http://www.m-hikari.com/imf.html
Type:
Article
Language:
en
EISSN:
1312-7594
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorRoberts, Jason A.en
dc.contributor.authorJoharjee, Najwa G.en
dc.date.accessioned2016-05-17T08:58:37Zen
dc.date.available2016-05-17T08:58:37Zen
dc.date.issued2016-05en
dc.identifier.citationRoberts, J. A., & Joharjee, N. G. (2016). Stability analysis of a continuous model of mutualism with delay dynamics. International Mathematical Forum, 11(10), 463-473. http://dx.doi.org/10.12988/imf.2016.616en
dc.identifier.doi10.12988/imf.2016.616-
dc.identifier.urihttp://hdl.handle.net/10034/609519en
dc.description.abstractIn this paper we introduce delay dynamics to a coupled system of ordinary differential equations which represent two interacting species exhibiting facultative mutualistic behaviour. The delays are represen- tative of the beneficial effects of the indirect, interspecies interactions not being realised immediately. We show that the system with delay possesses a continuous solution, which is unique. Furthermore we show that, for suitably-behaved, positive initial functions that this unique solution is bounded and remains positive, i.e. both of the components representing the two species remain greater than zero. We show that the system has a positive equilibrium point and prove that this point is asymptotically stable for positive solutions and that this stability property is not conditional upon the delays.en
dc.language.isoenen
dc.publisherHikari Ltden
dc.relation.urlhttp://www.m-hikari.com/imf.htmlen
dc.rightsAn error occurred on the license name.*
dc.rights.uriAn error occurred getting the license - uri.en
dc.subjectDelay differential equationsen
dc.subjectStabilityen
dc.subjectMathematical Ecologyen
dc.titleStability analysis of a continuous model of mutualism with delay dynamicsen
dc.typeArticleen
dc.identifier.eissn1312-7594en
dc.contributor.departmentUniversity of Chester; King Abdul Aziz Universityen
dc.identifier.journalInternational Mathematical Forumen
dc.date.accepted2016-04-29en
or.grant.openaccessYesen
rioxxterms.funderUnfundeden
rioxxterms.identifier.projectUnfundeden
rioxxterms.versionAMen
rioxxterms.licenseref.startdate2016-05-17en
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