一类具多时滞和脉冲Lotka-Volterra竞争系统的正周期解

Positive Periodic Solutions of a Lotka-Volterra Competition System with Impulses and Several Delays

研究一类具有脉冲和多时滞的非自治周期Lotka-Volterra竞争系统.利用一些分析技巧和重合度理论,得出脉冲对该系统的正周期解存在是有影响的.将所得到的结果应用到Fan Meng等和Li Mei-li等研究的具时滞的两种群竞争系统的正周期解存在性问题中,得出不同的新结果.

A non automomous periodic Lotka-Volterra competition system with impulses and several delays is investiga ted. By means of coindence degree theory and some analysis techniques, we obtain that the impulses will influence on the existence of positive periodic solutions of the system. Moreover, we deduce some new criteria for the existence of positive periodic solutions of the two-species comptition system with delays studied by Fan Meng, et al and Li Mei-li, et al respectively, our results improve and give some supplement for those obtained by research of Fan Meng, et al and I.i Mei-li, et al.