Stability analysis of a continuous model of mutualism with delay dynamics
Affiliation
University of Chester; King Abdul Aziz UniversityPublication Date
2016-05-31
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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.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.2016.616Publisher
HikariJournal
International Mathematical ForumAdditional Links
http://www.m-hikari.com/imf.htmlType
ArticleLanguage
enEISSN
1312-7594ae974a485f413a2113503eed53cd6c53
10.12988/imf.2016.616
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