具有三个成长阶段的单种群时滞模型的永久持续生存和全局稳定性

Acta mathematica scientia,Series A

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ermanence and Global Stability for Single-species Model with Three Life Stages and Time Delay

Gao Shujing ;Chen Lansun

Mathematics and Information Science Institute, Guangzhou University, Guangzhou 510006;

Department of Mathematics and Computer Science, Gannan Normal College, Ganzhou 341000

Received:2004-01-14 Revised:2004-12-30 Online:2006-08-25 Published:2006-08-25
Contact: Gao Shujing

Abstract

Abstract: In this paper, a single-species model with distributed time delay in which
individuals exhibit three life stages is considered. Sufficient conditions
are obtained for the permanence of the system. Moreover, by using Lyapunov function, some conditions for global asymptotic stability of the system are investigated. An example satisfying the conditions of the main resuilts is given.

Key words: Permanence, Global asymptotic stability, Stage structure, Time delay

CLC Number:

34D05

Gao Shujing ;Chen Lansun.

ermanence and Global Stability for Single-species Model with Three Life Stages and Time Delay

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ermanence and Global Stability for Single-species Model with Three Life Stages and Time Delay

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