具有广义扩散的三种群非自治系统解的吸引性

摘要

讨论了一类具有广义扩散的三种群非自治捕食系统,该系统的所有系数分别渐近于某一确定的周期函数.通过构造Lyapunov函数和利用比较原理的方法,得到了该系统的所有正确均渐近于相应的周期系统的周期解的充分条件.%Nonautonomous predator-prey system with diffusion was investigated in the paper, each of the coefficients of which asymptotically approached a periodic function. Sufficient conditions which determined that all the positive solutions of this system asymptotically approached the periodic solution of the corresponding periodic system were obtained, by using comparable theory and constructing Lyapunov-type functions.