Prey-Predator Model for Awash National Park, Oromia, Ethiopia and Its Stability Analysis with Simulations

Srinivasarao Thota

doi:10.20372/au.jssd.7.2.2019.0133

Prey-Predator Model for Awash National Park, Oromia, Ethiopia and Its Stability Analysis with Simulations

Authors

Srinivasarao Thota Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University, Post Box No. 1888, Adama, Ethiopia

DOI:

https://doi.org/10.20372/au.jssd.7.2.2019.0133

Keywords:

Pre-predator model, Stability Analysis, Equilibrium points, Non-linear differential equations, Numerical simulations

Abstract

In this paper, we discuss a model of two-space food chain consisting of the population of ecology of foxes (the predator) and rabbits (prey) in Awash National park, Ethiopia. The study is based on formulation of a mathematical model to study the dynamics of the population densities and analyzing the stability of equilibrium points of the prey-predator model. The aim of this model is to explore the behavior of a simple model by considering a population of foxes, and rabbits. This model is constituted by a system of nonlinear decoupled ordinary differential equations. By using perturbed method, we identify the nature of the system at each equilibrium point. The stability analysis of a prey-predator model is discussed with numerical simulations.

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Published

2019-08-23

How to Cite

Thota, S. (2019). Prey-Predator Model for Awash National Park, Oromia, Ethiopia and Its Stability Analysis with Simulations. Journal of Science and Sustainable Development, 7(2), 15-21. https://doi.org/10.20372/au.jssd.7.2.2019.0133