在容量较小的污染环境中种群的持续生存与灭绝  

Persistence and Extinction of a Population in a Small Capacity and Polluted Environment

作　　者：颜刚[1] 王寿松[2] 李英华[3] 

机构地区：[1]第一军医大学医工系,广东广州510515 [2]中山大学数学系,广东广州510275 [3]第一军医大学基础部,广东广州510515

出　　处：《生物数学学报》2002年第3期299-304,共6页Journal of Biomathematics

摘　　要：本文讨论了在容量较小的污染环境中以广义Logistic形式生长种群动力学性态,得到种群持续生存和灭绝的条件;最后讨论了模型有关平衡点的稳定性.In this paper the dynamic properties of a population, which live in a small capacity and polluted environment and simulated by the generalized logistic model, are discussed. We aim to obtain the condition of persistence and extinction of the population. At the end, we discuss the stability of the equilibrium in this model.

关 键 词：容量较小 污染环境 种群 持续生存 灭绝 广义Logistic模型 稳定性 变分矩阵 毒素 

分 类 号：Q141[生物学—生态学] X171.5[生物学—普通生物学]