n种群Lotka-Volterra混合系统的概周期解

Almost periodic solutions of the Lotka-Volterra n-species mixed system

通过构造Liapunov函数,作者研究了一类n种群Lotka-Volterra混合系统,得出了该系统存在唯一的一致渐近稳定的正概周期解的充分条件.由于采用了较弱的积分型条件代替极值型条件,所得结果改进了一些已有的相关结果.

By the method of constructing a suitable Liapunov function, the authors investigate the Lotka- Volterra n-species mixed system, and present an existence and uniqueness theorem of uniformly asymptotically stable almost periodic solution. Since they replace the extremum conditions by some weaker integral conditions, their result improves some known results.