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On Dynamical Analysis of a Prey-Diseased Predator Model with Refuge in Prey

Publication Type : Journal Article

Publisher : Applied Mathematics & Information Sciences

Source : Applied Mathematics & Information Sciences, 15 (6), 717--721 (2021).

Url : https://www.naturalspublishing.com/files/published/5v3j29m47n47r9.pdf

Keywords : Non-linear differential equations, Prey-predator model, Equilibria, Stability

Campus : Amaravati

School : School of Physical Sciences

Department : Chemistry

Year : 2021

Abstract : In this paper, we propose a mathematical model of a prey-diseased predator model with refuge in prey system. In other words, a prey-predator model with an infectious disease in the prey population is formulated. This model is constituted by a system of three nonlinear ordinary differential equations of first order, which describe the interaction between the infected prey, non-infected prey and predator. The equilibria of the system are derived and the stability analyses of the disease-free and the endemic equilibria are conducted.

Cite this Research Publication : S. Thota, Abayomi Ayoade: On Dynamical Analysis of a Prey-Diseased Predator Model with Refuge in Prey, Applied Mathematics & Information Sciences, 15 (6), 717--721 (2021). doi: 10.18576/amis/150605

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