Dynamical Analyses of a Nonautonomous Prey-predator Stage Structure System with Refuges and Time Delay
A predator-prey system with stage structure and two-competitive-prey with refuges was studied.By comparative theorems,sufficient conditions for permanence of the system were obtained.The sufficient conditions for the existence and global asymptotic stability of positive periodic solutions were derived through Leray-Schauder theorem and constructing appropriate Lyapunov function.The results showed that increasing the number of refuges and enhancing their sheltering capacity could increase the population density of prey,which would effectively prevent a sharp decline in predator population,thereby achieve the coexistence among three species and ultimately prompt species diversity conservation and maintain ecosystem balance.
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