摘要
对稀疏效应下具有Holling Ⅲ类功能反应的一类捕食系统进行了定性分析,讨论了正平衡点的存在性和稳定性,并通过分析参数的取值范围得到了极限环、分界线环的存在条件与相关稳定性的结论.
A class of predator-prey model with Holling type Ⅲ functional response and sparse effect was considered. The existence and the stability of the positive equilibrium point of the system were discussed. Conditions of the existence and the stability of limit cycles and boundary cycle were got by analyzing range of parameters of the system.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第2期99-107,共9页
Mathematics in Practice and Theory
关键词
捕食系统
稀疏效应
功能反应
正平衡点
极限环
分界线环
稳定性
predator-prey model
Sparse Effect
type Ⅲ functional response
positive equilibrium point
limit cycle
boundary cycle
stability
