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Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments

Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments

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Original languageEnglish
Pages183-206
Number of pages24
JournalNonlinear Analysis: Real World Applications
Journal publication date2004
Journal number1
Volume5
DOIs
StatePublished

Abstract

A delayed periodic Lotka–Volterra type predator-prey model with prey dispersal in two-patch environments is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by means of a suitable Lyapunov functional, a set of easily verifiable sufficient conditions are obtained to guarantee the existence, uniqueness and global stability of positive periodic solutions of the system. Numerical simulations are given to illustrate the feasibility of our main results.

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