Stochastic analysis of prey-predator model with stage structure for prey

被引：8
|
作者：
Saha T. [1 ]
Chakrabarti C. [1 ]
机构：
[1] Department of Applied Mathematics, University of Calcutta
来源：
Journal of Applied Mathematics and Computing | 2011年 / 35卷 / 1-2期
关键词：
Lyapunov function; Prey-predator; Stability; Stage-structure; Stochastic stability; White noise;
D O I：
10.1007/s12190-009-0351-5
中图分类号：
学科分类号：
摘要：
The present paper deals with the effect of environmental fluctuation on a prey-predator model with stage structure for prey population. We have studied the stochastic behaviour of the model system around coexisting equilibrium point. Stochastic stability condition in mean square sense is obtained for the stage-structured model with help of a suitable Lyapunov function. Numerical simulations are carried out to substantiate the analytical findings. The main outcomes of mathematical findings are mentioned in conclusion section. © 2009 Korean Society for Computational and Applied Mathematics.
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页码：195 / 209
页数：14
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