具有时滞的单种群扩散模型的全局稳定性

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Global Stability of Single-species Diffusion Models with Time Delay

Gui Zhanji; Jia Jing; Ge Weigao

Department of Mathematics, Hainan Normal University, Haikou 571158

Received:2005-06-11 Revised:2006-08-04 Online:2007-06-25 Published:2007-06-25
Contact: Gui Zhanji

Abstract

Abstract: In this paper, single-species diffusion models with time delays are investigated. It can have a positive equilibrium by homotopy techniques. It is showed that the system is uniformly persistent under appropriate conditions, and sufficient conditions are obtained for local stability and global stability of the equilibrium of the system.

Key words: Single-species models, Diffusion, Time delay, Uniform persistence, Globally stability

CLC Number:

34C25

Gui Zhanji; Jia Jing; Ge Weigao. Global Stability of Single-species Diffusion Models with Time Delay[J].Acta mathematica scientia,Series A, 2007, 27(3): 496-505.

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Global Stability of Single-species Diffusion Models with Time Delay

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