一类三种群混合扩散模型的持续生存

Permanence for a Three-Mixed-Species Diffusive Model

本文对一类三种群混合扩散模型进行研究,得到了扩散对系统持续生存影响的充分条件,表明即使食饵种群在某些孤立斑块中可能绝灭,也可以通过适当选取扩散率来保证系统持续生存.

In this paper , a mixed diffusive model of three species is discussed .The sufficient conditions are obtained ,which show the effect of diffusion on the permanence of the system .This implies that we can make the system permanent by choose the diffusion rates appropriately ,even if the prey species may become extinct in some isolated patches.