You Position: Home > Paper

Profitless Delays for Permanence in Nonautomous Lotka-Volterra Predator-Prey Dispersal Systems

( views:199, downloads:0 )
Author:
No author available
Journal Title:
JOURNAL OF BIOMATHEMATICS
Issue:
4
DOI:
10.3969/j.issn.1001-9626.2008.04.003
Key Word:
时滞;扩散;持久性;非自治Lotka-Volterra系统;周期解;Time delay;Dispersal;Permanence;Nonautonomous Lotka-Volterra systems;Periodic solution

Abstract: This paper studies the effect of time delays on a nonautonomous Lotka-Volterra predator-prey dispersal system which consists of n-patches, the prey species can disperse among n-patches, but the predator species is confined to one patch and cannot disperse. We study the delayed Lotka-Volterra system where the coefficients of dependent density terms are not always strictly positive. By using comparison theorem and delays functional differential equation basic theory, we show that the system is uni-formly persistent under some appropriate conditions in two cases. Our results suggest that under some conditions, the introduction and the variance of the time delays can be both harmless and profitless. Further, by using fixed point theorem, we obtain that there is at least a positive periodic solution under conditions for the permanence of sys-tem. These results are basically an extension and improvement of the known results for nonautonomous Lotka-Volterra systems.

WanfangData CO.,Ltd All Rights Reserved
About WanfangData | Contact US
Healthcare Department, Fuxing Road NO.15, Haidian District Beijing, 100038 P.R.China
Tel:+86-010-58882616 Fax:+86-010-58882615 Email:yiyao@wanfangdata.com.cn