DocumentCode
2390817
Title
Hopf bifurcation in a three stage-structured prey-predator model with hunting delay
Author
Li, Shunyi ; Liu, Wenwu
Author_Institution
Dept. of Math., Qiannan Normal Coll. for Nat., Duyun, China
fYear
2012
fDate
19-20 May 2012
Firstpage
1121
Lastpage
1125
Abstract
A three stage-structured prey-predator model with hunting delay is studied. The characteristic equations of the boundary and positive equilibrium are analyzed and the conditions of the positive equilibrium occurring Hopf bifurcation are given by applying the theorem of Hopf bifurcation. By using Nyquist criterion, the estimation of the length of delay to preserve stability is obtained. Finally, numerical simulation and brief conclusion are given.
Keywords
Nyquist criterion; bifurcation; delays; numerical analysis; predator-prey systems; Hopf bifurcation; Nyquist criterion; boundary equilibrium; characteristic equations; hunting delay; length estimation; numerical simulation; positive equilibrium; stability preservation; three stage-structured prey-predator model; Asymptotic stability; Bifurcation; Delay; Delay effects; Stability criteria; Hopf bifurcation; Three-stage-structured; prey-predator model; time delay;
fLanguage
English
Publisher
ieee
Conference_Titel
Systems and Informatics (ICSAI), 2012 International Conference on
Conference_Location
Yantai
Print_ISBN
978-1-4673-0198-5
Type
conf
DOI
10.1109/ICSAI.2012.6223231
Filename
6223231
Link To Document