小容量污染环境中二维Volterra互惠系统的生存分析

On the existence of 2-D Volterra cooperative system in a small capacity and polluted environment

利用积分均值和微分不等式的方法,在污染环境容量较小的条件下,讨论了体内毒素浓度相同,且具有食物链影响的二维Volterra互惠系统的生存状况,得到了种群弱平均持续生存和灭绝的充分条件.

With the methods of integral in mean and differential inequality principle, in a small capacity and polluted environment the survival state of two - dimensional Voherra cooperative system having equal toxin in bodys and being affected by food chain is studied. It obtains the sufficient conditions for weak persistence in the mean and extinction.