Study of a Detritus-Based Ecosystem Model for Generalized Functional Responses

M.R. Mandal; N.H.Gazi

doi:https://doi.org/10.14445/22315373/IJMTT-V55P536

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 55 | Number 4 | Year 2018 | Article Id. IJMTT-V55P536 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P536

Study of a Detritus-Based Ecosystem Model for Generalized Functional Responses

M.R. Mandal, N.H.Gazi

Abstract

We have considered a detritus-based ecosystem in Sunderban Mangrove area. The ecosystem is rich with detritus, detritivores and predators of detritivores. We have formulated a three-dimensional model by general functional responses. Several dynamical properties, namely, equilibria, boundedness, persistence and stability are analyzed in terms of general functional responses. The system is then analyzed for the same dynamical characteristic using Holling type-II and ivlev-type functional responses. The analytical results are verified by numerical results.

Keywords

Functional response, nonlinear differential equations, local stability analysis

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Citation :

M.R. Mandal, N.H.Gazi, "Study of a Detritus-Based Ecosystem Model for Generalized Functional Responses," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 4, pp. 279-288, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P536