具有HollingⅢ功能性反应和扩散的三种群模型的持久性和全局吸引性

Permanence and global attractiveness of three-species model with Holling Ⅲ functional response and diffusion

研究一类含有连续时滞的HollingⅢ功能性反应和扩散的三种群捕食—食饵模型,讨论了该模型的一致持久性,从而得到了保证该系统持久性的充分条件;通过构造适当的Lyapunov函数得到了保证此系统全局吸引的充分条件.

A three species model with HoUing m functional response and diffusion was studied. The uniform persistence of this model was discussed, a set of verifiable sttficient conditions which could guarantee the persistence of this system were obtained. By constructing suitabe Lyapunov functions, the sufficient conditions which could guarantee the global attractiveness of this system were obtained.