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具有扩散的n斑块生态系统的渐近周期解
Asymptotically Periodic Solution of n-pathes Ecosystem with Diffusion
【摘要】 研究了具有渐近周期系数的两种群扩散竞争系统,该系统由n个斑块组成,其中一种群可以在n个斑块之间扩散,而另一种群在一个斑块中,不能扩散.结合运用Liapunov函数,得到该系统唯一存在全局渐近稳定的渐近周期解的条件.
【Abstract】 A asymptotically periodic ecological competitive system with diffusion is stuied. The system,which is consisted of n-pathes,has two competitors,one can diffuse among n-pathes,but the other is confined to one patch and cannot diffuse. By means of constructing a suitable Liapunov function,we obtain the system have a unique asymptotically periodic solution which is globally asymptotically stable.
【关键词】 渐近周期解;
Liapunov函数;
扩散;
全局渐近稳定;
【Key words】 asymptotically periodic solution; liapunov function; diffuse; globally asymptotic stability;
【Key words】 asymptotically periodic solution; liapunov function; diffuse; globally asymptotic stability;
【基金】 教育部重点项目资助的课题(01061);辽宁省教育厅2007年度创新团队项目计划(2007T050)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2009年13期
- 【分类号】O175
- 【被引频次】5
- 【下载频次】74