Journal of Applied Bioinformatics & Computational BiologyISSN: 2329-9533

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Research Article, J Appl Bioinforma Comput Biol Vol: 6 Issue: 2

Dynamic Analysis of a Predator and Prey Model with some Computational Simulations

Sarbaz HA Khoshnaw*

Department of Mathematics, College of Basic Education, University of Raparin, Rania, Kurdistan Region, Iraq

*Corresponding Author : Sarbaz H. A. Khoshnaw
Department of Mathematics, College of Basic Education, University of Raparin, Rania, Kurdistan Region, Iraq
Tel: +9647503161780
E-mail: [email protected]

Received: May 06, 2017 Accepted: August 01, 2017 Published: August 07, 2017

Citation: Khoshnaw SHA (2017) Dynamic Analysis of a Predator and Prey Model with some Computational Simulations. J Appl Bioinforma Comput Biol 6:2. doi: 10.4172/2329-9533.1000137

Abstract

Mathematical modelling and numerical simulations of interaction populations are crucial topics in systems biology. The interactions of ecological models may occur among individuals of the same species or individuals of different species. Describing the dynamics of such models occasionally requires some techniques of model analysis. Choosing appropriate techniques of model analysis is often a difficult task. We define a prey (mouse) and predator (cat) model. The system is modeled by a pair of non-linear ordinary differential equations using mass action law, under constant rates. A proper scaling is suggested to minimize the number of parameters. More interestingly, we propose a homotopy technique with n expanding parameters for finding some analytical approximate solutions. Numerical simulations are provided using Matlab for different parameters and initial conditions.

Keywords: Mathematical modelling; Prey and predator model; Reduced model; Numerical simulations; Homotopy perturbation method

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