PERIODIC SOLUTION AND PERSISTENCE FOR A THREE-SPECIES RATIO-DEPENDENT PREDATOR-PREY MODEL WITH TIME DELAYS IN TWO-PATCH ENVIRONMENTS  

作　　者：Desheng TIAN 

机构地区：[1]College of Sciences, Hubei University of Technology, Wuhan 430068, China

出　　处：《Journal of Systems Science & Complexity》2008年第2期226-238,共13页系统科学与复杂性学报（英文版）

基　　金：The research is supported by the Scientific Research Foundation of the Doctor Department of Hubei University of Technology.

摘　　要：The author considers a three-species ratio-dependent predator-prey model with time delay in a two-patch environments. This model is of periodic coefficients, which incorporates the periodicity of the environment. By means of the coincidence degree theory, sufficient conditions for the existence of at least one positive periodic solution of this model are established. Moreover, The author shows that the system is uniformly persistent under the conditions.

关 键 词：Coincidence degree periodic solution predator-prey model RATIO-DEPENDENT uniform persistence. 

分 类 号：TP274[自动化与计算机技术—检测技术与自动化装置]