Ecoepidemiological Model and Analysis of Prey‐Predator System

Abayneh Fentie Bezabih, Geremew Kenassa Edessa and Koya Purnachandra Rao

Journal of Applied Mathematics, 2021, vol. 2021, issue 1

Abstract: In this paper, the prey‐predator model of five compartments is constructed with treatment given to infected prey and infected predator. We took predation incidence rates as functional response type II, and disease transmission incidence rates follow simple kinetic mass action function. The positivity, boundedness, and existence of the solution of the model are established and checked. Equilibrium points of the models are identified, and local stability analyses of trivial equilibrium, axial equilibrium, and disease‐free equilibrium points are performed with the method of variation matrix and the Routh‐Hurwitz criterion. It is found that the trivial equilibrium point Eo is always unstable, and axial equilibrium point EA is locally asymptotically stable if βk − (t1 + d2)

Date: 2021
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https://doi.org/10.1155/2021/6679686

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2021:y:2021:i:1:n:6679686

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