DocumentCode
1708246
Title
Dynamical Behaviors of a Three Species Food Chain System with Time Delayed Harvesting
Author
Huang, Xinghua ; Lin, Yiping
Author_Institution
Dept. of Appl. Math., Kunming Univ. of Sci. & Technol., Kunming, China
fYear
2010
Firstpage
336
Lastpage
340
Abstract
A three species food chain model with time delayed harvesting is concerned. By using the theory of functional differential equation and Hassard´s method, the conditions on which positive equilibrium exists and Hopf bifurcation occurs are given. Finally numerical simulations are performed to support the analytical results, and the chaotic behaviors are observed.
Keywords
bifurcation; chaos; differential equations; ecology; Hassard method; Hopf bifurcation; chaotic behavior; functional differential equation; three species food chain system; time delayed harvesting; Asymptotic stability; Bifurcation; Biological system modeling; Chaos; Mathematical model; Numerical stability; Stability analysis; Hopf bifurcation; chaos; three species food chain; time delayed harvesting;
fLanguage
English
Publisher
ieee
Conference_Titel
Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on
Conference_Location
Kunming, Yunnan
Print_ISBN
978-1-4244-8815-5
Type
conf
DOI
10.1109/IWCFTA.2010.25
Filename
5671200
Link To Document