多种群Lotka-Volterra竞争系统周期解的研究

Discussion on periodic solution of speceie Lotka-Volterra competitive systems with delay

利用利亚普诺夫泛函方法,根据重合度理论进一步讨论了一类具有时滞的多种群Lotka-Volterra生态竞争系统,得到了该系统至少存在一个严格正周期解和全局渐进稳定性的判别准则.

Investigate a class of species Lotka-Volterra competitives system equations.Using the coincidence degree theory and Lyapunov functioal methods,a sufficient condition is obtained for the existence and global stability of a positive periodic solution of the system.a sufficient condition for the existence and uniqueness of almost periodicp solution was gained.