Qualitative analysis of a kind. of prey-predator system with functional response

被引：0

作者：

Wang Hui ^{[1
]}

Zhang Xue-feng ^{[1
]}

Wen Liang-chen ^{[1
]}

机构：

[1] Inst Aeronaut Engn Shenyang, Shenyang 110004, Peoples R China

来源：

Proceedings of the 2007 Chinese Control and Decision Conference | 2007年

关键词：

functional response; equilibrium; limit cycle;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

On the condition that the growth rate of prey is nonlinear, a kind of prey-predator system with functional response is studied, and the stability of the equilibrium is analyzed. The sufficient condition for that the positive equilibrium is stable fine focus or unstable fine focus is proved by using the method of the formal series. The sufficient condition for the inexistence of limit cycle is found by using the method of Dulac function. The sufficient condition for the uniqueness of limit cycle is obtained by using the theory of Hopf bifurcation, the pioncare-bendixson theory and the uniqueness theorem of limit cycle. At the same time, the simulation is given by using Matlab.

引用

页码：1112 / +

页数：4