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Periodic solutions of a Lotka–Volterra type multi-species population model with time delays

✍ Scribed by Rui Xu; M. A. J. Chaplain; F. A. Davidson

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
209 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

A delayed periodic Lotka–Volterra type population model with m predators and n preys is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions of the model. Numerical simulation is presented to illustrate the feasibility of our main results. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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