Table of Contents
ISRN Biotechnology
Volume 2013, Article ID 898039, 8 pages
http://dx.doi.org/10.5402/2013/898039
Research Article

Global Stability of Predator-Prey System with Alternative Prey

Department of Mathematics, Daharpur A.P.K.B Vidyabhaban, Paschim Medinipur, West Bengal, India

Received 1 April 2012; Accepted 7 June 2012

Academic Editors: M. Tamaoki and E. Villegas

Copyright © 2013 Banshidhar Sahoo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A predator-prey model in presence of alternative prey is proposed. Existence and local stability conditions for interior equilibrium points are derived. Global stability conditions for interior equilibrium points are also found. Bifurcation analysis is done with respect to predator’s searching rate and handling time. Bifurcation analysis confirms the existence of global stability in presence of alternative prey.