含时滞的m维非均匀分布生态模型平衡态的稳定性  

THE STABILITY OF THE EQUILIBRIUM STATE OF m DIMENSIONAL NON UNIFORMLY DISTRIBUTED ECOSYSTEM WITH DELAYS

作　　者：李树勇[1] 周小平[1] 

机构地区：[1]四川师范大学数学系

出　　处：《四川师范大学学报（自然科学版）》1998年第2期159-163,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金

摘　　要：在注意到含时滞的偏微分方程与含时滞常微分方程的差别的同时，指出一些值得注意的问题．其次，建立了两类含时滞的非均匀生态模型平衡态的稳定性判别的充分条件．This paper first notices differences between the partial differential equation with delays and the ordinary differential equaition with delays, and put forwards some problems of deserving attention. Then, some sufficient conditions on the stability of the equilibrium state of m dimensional non uniformly distributed ecosystem with delays are obtained.

关 键 词：生态模型 平衡态 稳定性 非均匀分布 偏微分方程 

分 类 号：Q141[生物学—生态学] O175.21[生物学—普通生物学]