A nonautonomous predator-prey system with stage structure and double time delays

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:230

Article; Proceedings Paper

Wang, Jiaoyan²  Lu, Qishao²  Feng, Zhaosheng¹ 

[1] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78539 USA

[2] Beijing Univ Aeronaut & Astronaut, Sch Sci, Beijing 100083, Peoples R China

关键词: Stage structure;    Time delay;    Permanence;    Continuation theorem;    Periodic solution;    Global stability;   

DOI  :  10.1016/j.cam.2008.11.014

来源: Elsevier

【 摘 要 】

In the present paper we study a nonautonomous predator-prey model with stage structure and double time delays due to maturation time for both prey and predator. We assume that the immature and mature individuals of each species are divided by a fixed age, and the mature predator only attacks the immature prey. Based on some comparison arguments we discuss the permanence of the species. By virtue of the continuation theorem of coincidence degree theory, we prove the existence of positive periodic solution. By means of constructing an appropriate Lyapunov functional, we obtain sufficient conditions for the uniqueness and the global stability of positive periodic solution. Two examples are given to illustrate the feasibility of our main results. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

Free