时标上一类含单调功能反应与比率依赖的捕食-食饵模型正周期解的存在性(英文)  

Existence of Positive Periodic Solution of a Ratio-dependent Predator-prey Model on Time Scale With Monotonic Functional Response

作　　者：邵远夫[1,2] 

机构地区：[1]中南大学数学科学与计算技术学院,长沙湖南410075 [2]贵州师范大学数学与计算机科学学院,贵阳贵州550001

出　　处：《数学进展》2010年第2期224-232,共9页Advances in Mathematics（China）

基　　金：supported by NSFC(No.10971229);Foundation of Science and Technology Department of Guizhou Province(No.2010);National Research Program of China(No.2007CB714107)

摘　　要：运用Mawhin连续定理与一些分析技巧,讨论得到了时标上一类含单调功能反应与比率依赖的捕食-食饵模型存在正周期解的充分条件.By using Gaines and Mawhin＇s continuation theorem,the existence of positive periodic solutions of a ratio-dependent predator-prey model on time scale with monotonic functional response is investigated,and some easily verifiable sufficient criteria are established.

关 键 词：连续定理 比率依赖 功能反应 时标 捕食-食饵模型 

分 类 号：O175[理学—数学]