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
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;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on
Conference_Location :
Kunming, Yunnan
Print_ISBN :
978-1-4244-8815-5
DOI :
10.1109/IWCFTA.2010.25
