Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure

Xinyu Song, Zhihao Ge and Jingang Wu

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-20

Abstract:

A two-species predator-prey system with diffusion term and stage structure is discussed, local stability of the system is studied using linearization method, and global stability of the system is investigated by strong upper and lower solutions. The asymptotic behavior of solutions and the negative effect of stage structure on the permanence of populations are given.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:013948

DOI: 10.1155/IJMMS/2006/13948

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