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Periodic Solutions of a Delayed Population Model with One Predator and Two Preys
Rui Xu,M. A. J. Chaplain,F. A. Davidson 경북대학교 자연과학대학 수학과 2004 Kyungpook mathematical journal Vol.44 No.4
A delayed periodic Lotka-Volterra predator-prey model with one predator and two preys is investigated. By using Gaines and Mawhin’s continuation theorem of coincidence degree theory and by constructing appropr iate Lyapunov functionals, a set ofeasily veriable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions to the model.