Periodic solutions of a nonautonomous predator-prey system with stage structure and time delays

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:196

Article

Xu, Rui ; Wang, Zhiqiang

关键词: stage structure;    time delay;    permanence;    periodic solution;    global stability;   

DOI  :  10.1016/j.cam.2005.08.017

来源: Elsevier

【 摘 要 】

A nonautonomous Lotka-Volterra type predator-prey model with stage structure and time delays is investigated. It is assumed in the model that the individuals in each species may belong to one of two classes: the immatures and the matures, the age to maturity is presented by a time delay, and that the immature predators do not feed on prey and do not have the ability to reproduce. By some comparison arguments we first discuss the permanence of the model. By using the continuation theorem of coincidence degree theory, sufficient conditions are derived for the existence of positive periodic solutions to the model. By means of a suitable Lyapunov functional, sufficient conditions are obtained for the uniqueness and global stability of the positive periodic solutions to the model. (c) 2005 Elsevier B.V. All rights reserved.

【 授权许可】

Free