BIFURCATION AND CONTROL IN A DIFFERENTIAL-ALGEBRAIC HARVESTED PREY-PREDATOR MODEL WITH STAGE STRUCTURE FOR PREDATOR

被引：36
|
作者：
Liu, Chao [1 ]
Zhang, Qingling [1 ]
Zhang, Yue [1 ]
Duan, Xiaodong [2 ]
机构：
[1] Northeastern Univ, Inst Syst Sci, Key Lab Integrated Automat Proc Ind, Minist Educ, Shenyang 110004, Liaoning Prov, Peoples R China
[2] Dalian Nationalities Univ, Inst Nonlinear Informat Technol, Dalian 116600, Liaoning Prov, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2008年 / 18卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Differential-algebraic system; stage structure; bifurcation; feedback control;
D O I：
10.1142/S0218127408022329
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A differential-algebraic model system which considers a prey-predator system with stage structure for a predator and a harvest effort on the mature predator is proposed. By using the differential-algebraic system and bifurcation theories, the local stability and instability mechanism of the proposed model system are investigated. With the purpose of stabilizing the proposed model system at the positive equilibrium, a state feedback controller is designed. Finally, a numerical simulation is carried out to show the consistency with theoretical analysis and illustrate the effectiveness of the proposed controller.
引用
收藏
页码：3159 / 3168
页数：10
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