DocumentCode
2531664
Title
Analysis of a Three Species Ratio-Dependent Food Chain System with Time Delayed Harvesting
Author
Yan, Junwei ; Lin, Yiping
Author_Institution
Dept. of Appl. Math., Kunming Univ. of Sci. & Technol., Kunming, China
fYear
2011
fDate
19-22 Oct. 2011
Firstpage
107
Lastpage
111
Abstract
A three-species ratio-dependent food chain system with time delayed harvesting is concerned. The effect of delay on the stability of the interior positive equilibrium is investigated, and the conditions for existence of Hopf bifurcations are given. Finally, numerical simulations are carried out to illustrate the analytical results. The largest Lyapunov exponent is computed, and the chaotic behaviors are observed.
Keywords
Lyapunov methods; bifurcation; chaos; delays; predator-prey systems; stability; Hopf bifurcations; Lyapunov exponent; chaotic behaviors; interior positive equilibrium; numerical simulations; ratio-dependent food chain system analysis; stability; time delayed harvesting; Bifurcation; Biological system modeling; Chaos; Delay; Numerical stability; Predator prey systems; Stability analysis; Hopf bifurcation; chaos; ratio dependent; three-species food chain; time delayed harvesting;
fLanguage
English
Publisher
ieee
Conference_Titel
Chaos-Fractals Theories and Applications (IWCFTA), 2011 Fourth International Workshop on
Conference_Location
Hangzhou
Print_ISBN
978-1-4577-1798-7
Type
conf
DOI
10.1109/IWCFTA.2011.60
Filename
6093502
Link To Document