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具亚线性功能反应函数的捕食模型的定性分析
The Qualitative Analysis of a Class of Predator-Prey Model with Sublinear Functional Response Function
【摘要】 研究了一类食饵具常数存放且功能反应函数为亚线性函数的食饵-捕食者模型,获得了正平衡点全局渐近稳定,极限环存在惟一的充分条件.
【Abstract】 We studied a class of predator-prey model with sublinear functional response,and the prey have constant stocking rate,some sufficient conditions of the global stability of the trajectory,and the existence and uiqueness of limit cycle of the model are obtained.
【关键词】 亚线性函数;
全局渐近稳定性;
极限环;
存在性;
惟一性;
【Key words】 sublinear function; global stability; limit cycle; existence; uiqueness;
【Key words】 sublinear function; global stability; limit cycle; existence; uiqueness;
【基金】 江西省自然科学基金(2007GZS1471)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2010年01期
- 【分类号】Q14
- 【被引频次】1
- 【下载频次】100