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

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 conditio...

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Bibliographic Details
Published in:Nonlinear analysis: real world applications 2004-02, Vol.5 (1), p.183-206
Main Authors: Xu, Rui, Chaplain, M.A.J., Davidson, F.A.
Format: Article
Language:English
Subjects:
Dispersion
Global stability
Periodic solution
Persistence
Time delay
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Summary: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.
ISSN:1468-1218
1878-5719
DOI:10.1016/S1468-1218(03)00032-4