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

Authors

Srinivasarao Thota, Department of Applied Mathematics, Adama Science and Technology University, Post Box No. 1888, Adama, EthiopiaFollow
Abayomi Ayoade, Department of Mathematics, Faculty of Scinces, University of Lagos, Yaba, Lagos, NigeriaFollow

Author Country (or Countries)

Ethiopia

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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150605

Recommended Citation

Thota, Srinivasarao and Ayoade, Abayomi (2021) "On Dynamical Analysis of a Prey-Diseased Predator Model with Refuge in Prey," Applied Mathematics & Information Sciences: Vol. 15: Iss. 6, Article 5.
DOI: http://dx.doi.org/10.18576/amis/150605
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss6/5