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- W2384036937 abstract "One of the most interesting topics in mathematical ecology concerns the permanence of ecological systems.In this paper,we consider a nonautonomous three-species(two-prey,one-predator) predator-prey Lotka-Volterra system with discrete delays.We get the ultimately lower and upper bounds for the positive solution by estimate of inequatity and constructing suitable persistemce functionals.If assuming environment varies periodly,we obtain the existence,uniqueness and global attractivity of positive periodic solution for periodic system by using fixed point theorem.Liapunov function and M-matrix theory.Further conditions are established for the permancnce of the populations and the global attractivity of positive periodic solution.These conditions is not complexity and acceptable.In addition,we also discuss the effect of delay permanence and positive periodic solution of the system.These results demonstrate that time delays are harmlas for uniform persistence of the populations and the existence of positive periodic solution." @default.
- W2384036937 created "2016-06-24" @default.
- W2384036937 creator A5087318569 @default.
- W2384036937 date "2003-01-01" @default.
- W2384036937 modified "2023-10-07" @default.
- W2384036937 title "Global Attractivity for Nonautonomous Predator-Prey System with Time Delay" @default.
- W2384036937 hasPublicationYear "2003" @default.
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