Volume 2, Issue 4, August 2017, Page: 40-42
Global Asymptotic Stability Analysis of Predator-Prey System
Ahmed Buseri Ashine, Department of Mathematics, Madda Walabu University, Bale Robe, Ethiopia
Received: May 16, 2017;       Accepted: Aug. 24, 2017;       Published: Sep. 26, 2017
DOI: 10.11648/j.mma.20170204.11      View  1544      Downloads  110
Abstract
In this paper, a predator-prey model with Holling type II response function is proposed and analyzed. The model is characterized by a couple of system of first order non-linear differential equations. The objective of the work is to offer mathematical analysis of such model. The equilibrium points are computed, boundedness and criteria for stability and persistent of the system are obtained.
Keywords
Prey-Predator, Stability, Persistent, Limit Cycle
To cite this article
Ahmed Buseri Ashine, Global Asymptotic Stability Analysis of Predator-Prey System, Mathematical Modelling and Applications. Vol. 2, No. 4, 2017, pp. 40-42. doi: 10.11648/j.mma.20170204.11
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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