竞争Lotka-Volterra 扩散系统的全局稳定性和周期解(英文)

Global asymptotical stability and periodic orbits for competitive Lotka Volterra diffusion system

本文讨论一类竞争扩散系统，此系统有两种种群ｎ 个斑块，其中一种种群可以在ｎ 个斑块中自由扩散，而另一种种群被限制在一个斑块中不能扩散，当系数满足一定的积分不等式时，得到系统的全局稳定性和周期解．

This paper considers a competing system consisting of two species, one of which can diffuse among n-pathes,while the other is confined to one path and can not diffuse.It is proved that if the coefficients satisfy certain inequalities,then the system can have a strictly positive periodic orbit which is globally asymptotically stable.