کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4641005 | 1341293 | 2009 | 17 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A nonautonomous predator–prey system with stage structure and double time delays A nonautonomous predator–prey system with stage structure and double time delays](/preview/png/4641005.png)
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.
Journal: Journal of Computational and Applied Mathematics - Volume 230, Issue 1, 1 August 2009, Pages 283–299