Permanence and global stability of positive solutions of a nonautonomous discrete ratio-dependent predator-prey model

Hai-Feng Huo and Wan-Tong Li

Discrete Dynamics in Nature and Society, 2005, vol. 2005, 1-10

Abstract:

We first give sufficient conditions for the permanence of nonautonomous discrete ratio-dependent predator-prey model. By linearization of the model at positive solutions and construction of Lyapunov function, we also obtain some conditions which ensure that a positive solution of the model is stable and attracts all positive solutions.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:429532

DOI: 10.1155/DDNS.2005.135

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