摘要
本文对具有 Holling 第三类功能性反应的食饵-捕食者两种群且食饵种群具有常数存放率的系统进行了研究.主要讨论了:平衡点的性态,解的有界性,可行平衡点的全局渐近稳定性,系统无环性的条件和正平衡点周围存在唯一稳定极限环的条件.同时也解释了这些结论的生态意义.
In this Paper the author is devoted to the ecological system of a predator-prey with
Holling's type Ⅲ functional response of predator and constant stocking rate of prey.
The paper mainly concerns the behaviour of equilibrium points,global asymptotic sta-
bility of feasible equilibrium points,boundedness of the solution,conditions under which
there is not any closed trajectory,and the conditions of the existence and uniqueness ofli-
mit cycles.The ecological meanings of these conclusions are also intepreted.
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
1990年第2期93-98,120,共7页
Journal of Xi'an Jiaotong University
关键词
微分方程
生态系
稳定性
极限环
ecosystem
stability
limit cycle
differential equation
non-linear equation
