二维 Lotka-Volterra 扩散系统一致持久的无害时滞

Harmless delays for uniform persistence in a two dimensional Lotka Volterra diffusion systems

研究了二维Ｌｏｔｋａ－Ｖｏｌｔｅｒｒａ扩散系统中时滞对持久性的影响，证明时滞对该系统的一致持久性无害．所用技巧是时滞反应扩散系统的单调方法．

This paper studies a two dimensional Lotka Volterra diffusion systems with a finite number of discrete delays. Our purpose is to demonstrate that the time delays are harmless for uniform persistence of the solutions of the system. The results are obtained by monotone method for delay reaction diffusion systems.