重庆理工大学学报：自然科学Issue(9)：104-113,10.
具有线性收获率且包含食饵避难所的一类食饵-捕食者模型的定性分析
Qualitative Analysis of a Class of Predator-prey Model with Linear Yield Rate Incorporating a Prey Refuge
摘要
Abstract
The research of the stability of ecosystems has a profound meaning for a continuous, coordinate and stable development of ecological surroundings. This paper considers prey refuge, adding another parameter based on the research of prey-predator system. We apply the qualitative theory of differential equations to analyze the stability at the system equilibrium and the boundedness of solution. By discussion on systemic parameters, we obtain the condition of the existence and the stability of positive equilibrium in system. Bendixson cycle is constructed in a technique based on Zhang Zhifen theorem to find out the condition under which the system has a unique stable limit cycle. Our research shows that prey refuge has a stable influence on the system, and that the predator density or the prey density can be controlled by changing the amount of prey refuges. The numerical simulation result is also given关键词
食饵避难所/线性收获率/食饵-捕食系统/平衡点/全局渐近稳定/极限环Key words
prey refuge/linear yield rate/prey-predator system/equilibrium/global asymptotic stability/limit cycle分类
数理科学引用本文复制引用
张志军,刘启宽,李映辉..具有线性收获率且包含食饵避难所的一类食饵-捕食者模型的定性分析[J].重庆理工大学学报：自然科学,2011,(9):104-113,10.基金项目
国家自然科学基金资助项目 （）
四川省应用基础研究计划项目 （）
成都信息工程学院自然科学发展基金资助项目 （）
