摘要
本文中 ,我们考虑具有阶段结构和两个时滞的两种群捕食系统 .对于时滞τ1+τ2 =0 ,我们得到了两个种群持续生存和一个种群或两个种群绝灭的充分必要条件 .当τ1+τ2 增加到正平衡点不稳定时 ,系统存在一个小振幅的周期解 .
In this paper, we consider a predator-prey system of two species with stage structure and two delays. For the delays τ=τ 1+τ 2=0, we obtain the necessary and sufficient condition for the permanence of two species and the extinction of one species or two species. Further as τ increase through τ 0, the positive equilibrium bifurcates into small amplitude periodic solutions.
出处
《数学的实践与认识》
CSCD
北大核心
2003年第7期72-76,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金 ( No. 1 0 1 71 1 0 6)
河南省自然科学基金 ( No. 0 2 1 1 0 1 0 40 0 )资助项目
