Paper Info
Title
Stability and bifurcation analysis of a stage structured predator prey model with time delay.
Abstract
In this paper we proposed and analyzed a prey predator system with stage-structured for the predator population. A time delay is incorporated due to the gestation for the matured predator. All the possible non-negative equilibria are obtained and their local as well as global behavior are studied. Choosing delay as a bifurcation parameter, the existence of the Hopf bifurcation of the system has been investigated. Moreover, we use the normal form method and the center manifold theorem to examine the direction of the Hopf bifurcation and the nature of the bifurcating periodic solution. Some numerical simulations are given to support the analytical results. Some interesting conclusions are obtained from our analysis and it is given at the end of the paper.
Year
DOI
Venue
2012
10.1016/j.amc.2012.10.007
Applied Mathematics and Computation
Keywords
Field
DocType
Prey–predator,Stage-structured,Time delay,Global stability,Hopf bifurcation
Period-doubling bifurcation,Population,Mathematical optimization,Center manifold,Mathematical analysis,Bifurcation diagram,Transcritical bifurcation,Hopf bifurcation,Saddle-node bifurcation,Mathematics,Bifurcation
Journal
Volume
Issue
ISSN
219
8
0096-3003
Citations 
PageRank 
References 
5
0.61
7
Authors
2
Name
Order
Citations
PageRank
T. K. Kar1449.96
Soovoojeet Jana2375.96