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Persistence and global stability of a ratio-dependent predator-prey model with stage structure

Persistence and global stability of a ratio-dependent predator-prey model with stage structure

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Original languageEnglish
Pages729-744
Number of pages16
JournalApplied Mathematics and Computation
Journal publication dateNov 2004
Volume158
Issue3
DOIs
StatePublished

Abstract

A ratio-dependent predator–prey model with stage structure for prey is investigated. First, sufficient conditions are derived for the uniform persistence and impermanence of the model. Next, by constructing appropriate Lyapunov functions, a set of easily verifiable sufficient conditions are obtained for the global asymptotic stability of nonnegative equilibria of the model. Numerical simulations are presented to illustrate the validity of our main results.

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