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稀疏效应下的捕食-被捕食模型的正概周期解
Positive almost periodic solution of the predator - prey system withundercrowding effect
【摘要】 主要研究稀疏效应下非自治捕食模型的概周期系统,并通过应用Lyapunov第二方法,得到了概周期环境下存在唯一严格正的全局渐进稳定的概周期解的充分条件。
【Abstract】 Studied is the non-autonomous almost periodic system of predator-prey model with undercrowding effect. And by second Liapunov function, a sufficient condition that guarantees that the system has an unique strictly positive almost periodic solution with a global asymptotic stability under almost periodic circumstance is defined.
【关键词】 稀疏效应;
正概周期解;
全局渐近稳定;
Liapunov函数;
【Key words】 undercrowding effect; positive almost periodic solution; globally asymptotic stabiltiy; Liapunov function;
【Key words】 undercrowding effect; positive almost periodic solution; globally asymptotic stabiltiy; Liapunov function;
【基金】 国家自然科学基金(10171010);教育部科学技术研究重点资助项目(重点01061);东北师范大学青年基金
- 【文献出处】 黑龙江大学自然科学学报 ,Journal of Natural Science of Heilongjiang University , 编辑部邮箱 ,2003年02期
- 【分类号】O175
- 【被引频次】3
- 【下载频次】52