Global Analysis of a Nonautonomous Predator-Prey Model with Double Delays and Stage Structure
Li Ying-ke, Dena Turehan, Mehbuba Rehem
Journal of Advances in Mathematics and Computer Science · pp. 509–526 · Published 18 Jun 2013
10.9734/BJMCS/2013/3875Abstract
A nonautonomous predator-prey system with stage-structure and double time delays is investigated in the present paper. Based on some comparison arguments we discuss the permanence of the species. By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for the system is established. Further, by constructing a V functional and using the result of the existence of positive periodic solution, we obtain sufficient conditions for the uniqueness and the global stability of positive periodic solution.
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