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.
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.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第13期162-167,共6页
Mathematics in Practice and Theory
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)
关键词
渐近周期解
LIAPUNOV函数
扩散
全局渐近稳定
asymptotically periodic solution
liapunov function
diffuse
globally asymptotic stability
