Permanence extinction and global asymptotic stability in a stage structured system with distributed delays

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:301

Article

Liu, SQ ; Kouche, M ; Tatar, NE

关键词: distributed delays;    extinction;    global asymptotic stability;    interspecific competition;    permanence;    stage structure;   

DOI  :  10.1016/j.jmaa.2004.07.017

来源: Elsevier

【 摘 要 】

In this paper we consider a nonautonomous stage-structured competitive system of n-species population growth with distributed delays which takes into account the delayed feedback in both interspecific and intraspecific interactions. We obtain, by using the method of repeated replace, sufficient conditions for permanence and extinction of the species. The global attractivity of the unique positive equilibrium is proved in the autonomous case. Our results extend previous ones obtained by Liu et al. in [Nonlinear Anal. 51 (2002) 1347-1361; J. Math. Anal Appl. 274 (2002) 667-684]. (C) 2004 Elsevier Inc. All rights reserved.

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