Analysis of Predator-Prey Model with Gompertz Growth and Impulsive State Feedback Control

被引：0
|
作者：
Liu, Yujiang [1 ]
Gao, Shujing [1 ]
Xie, Dehui [1 ]
机构：
[1] Gannan Normal Univ, Key Lab Jiangxi Prov Numer Simulat & Emulat Tech, Ganzhou 341000, Peoples R China
来源：
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II | 2010年
关键词：
predator-prey model; impulsive state feedback control; bifurcation; chaos; SYSTEM;
D O I：
暂无
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The complex dynamics of a predator-prey model with impulsive state feedback control and Gompertz growth is studied in this paper. By using the Poincare map, the sufficient conditions for the existence and stability of semi-trivial and positive periodic solutions are investigated. The bifurcation diagrams, phase portraits and transition sets are illustrated by an example, in which the chaotic solutions appear via a cascade of period-doubling or period-halving bifurcations.
引用
收藏
页码：189 / 194
页数：6
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