摘要
本文研究了一类由一个捕食者种群和两个食饵种群构成的非自治生态系统,系统中食饵种群具有避难所,捕食者种群具有比率依赖型功能性反应.应用常微分方程中的定性和稳定性的方法,得到了在一定条件下系统是一致持久的,进一步证明了在适当条件下,系统存在唯一的全局渐近稳定的周期解。
In this paper considers a kind of nonautonomous system of one predator population and two prey population,in which the predator species response function is of ratio dependent,Incorporating a prey refuges.Using ordinary differential equation qualitative and stability method,Proved that the system can be uniform persistence under certain conditions,We also derive it has a unige periodic solution,which is global asymptotic stability under the appropriate conditions.
出处
《阴山学刊（自然科学版）》
2009年第1期14-17,共4页
Yinshan Academic Journal(Natural Science Edition)
基金
内蒙古自治区高等学校科学研究项目(NJzc08134)
关键词
避难所
一致持久
周期解
全局渐近稳定
refuges
uniform persistence
periodic solution
global asymptotic stability
