具有多时滞二维Lotka-Volterra捕食系统的渐近性

Behavior for two-species Lotka-Volterra prey-preyor system with multi-delays

研究了具有时滞的两种群Lotka_Volterra系统的持续生存与全局稳定性 .应用Liapunov泛函和特征根正负性得到该系统持续生存的充要条件是a + ∑ni=1αi <0 ,以及全局渐近稳定的充分条件为 ∑ni=1(α2i + β2i) <-a 。

The permanence and global stability of two_species Lotka_Volterra prey predator system with multi_delays is discussed. Using Liapunov function and the sign of characteristic roots, it is obtained that the condition of permanence a+∑ni=1α i<0 and the condition of stability ∑ni=1(α 2 i+β 2 i)<-a , and these results generalize the result of Yasuhisa Saito.