Effect of time delay on a harvested predator-prey model

被引：22
|
作者：
Gazi N.H. [1 ]
Bandyopadhyay M. [2 ]
机构：
[1] Department of Mathematics, St. Xavier's College
[2] Department of Mathematics, Scottish Church College
来源：
Journal of Applied Mathematics and Computing | 2008年 / 26卷 / 1-2期
关键词：
Harvesting; Hopf-bifurcation; Prey-predators; Stability; Time delay;
D O I：
10.1007/s12190-007-0015-2
中图分类号：
学科分类号：
摘要：
The predator-prey systems with harvesting have received a great deal of attentions for last few decades. Incorporating discrete time delays into predator-prey models could induce instability and bifurcation. In this paper we are interested in studying the combined effects of harvesting and discrete time delay on the dynamics of a predator-prey model. A comparative analysis is provided for stability behaviour in absence as well as in presence of time delay. The length of discrete time delay to preserve stability of the model system is obtained. Existence of Hopf-bifurcating small amplitude periodic solutions is derived by taking discrete time delay as a bifurcation parameter. © 2007 KSCAM and Springer-Verlag.
引用
收藏
页码：263 / 280
页数：17
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