摘要
提出了一类具有状态依赖脉冲投放濒危物种的两种群竞争模型.通过利用半连续动力系统的几何理论和类Poincare准则,得到了该模型的正阶-1周期解、半平凡周期解的存在性和稳定性的充分条件.
In this paper, a mathematical model of two-species competitive model with state-dependent impulsive replenish the endangered species is proposed, using the geometric theory of semi-continuous dynamic system and analogue of Poincare′ criterion, the sufficient conditions on the existence and orbital stability of positive order-1 periodic solution and semi-trivial periodic solution are obtained.
出处
《新疆大学学报（自然科学版）》
CAS
北大核心
2015年第1期26-32,共7页
Journal of Xinjiang University(Natural Science Edition)
基金
Supported by the National Natural Science Foundation of China(11001235 and 11271312)
the China Postdoctoral Science Foundation(20110491750 and 2012T50836)
关键词
竞争模型
状态依赖脉冲控制
存在性与稳定性
周期解
分支
State-dependent impulsive control
Existence and stability
Periodic solution
Bifurcation
