Title :
Bifurcation and Chaos of a Three Species Food Chain System with Time Delay
Author :
Fang, Juan ; Lin, Yiping
Author_Institution :
Dept. of Appl. Math., Kunming Univ. of Sci. & Technol., Kunming, China
Abstract :
A three species food chain model with time delay is studied. By using the theory of functional differential equation and Hassard´s method, the conditions for the existence of positive equilibrium and Hopf bifurcation are presented. Finally, numerical simulations are performed to support the analytical results, and the chaotic behaviors are observed.
Keywords :
bifurcation; chaos; delays; differential equations; Hassard method; Hopf bifurcation; chaos; chaotic behavior; functional differential equation; numerical simulation; positive equilibrium; three species food chain model; three species food chain system; time delay; Asymptotic stability; Bifurcation; Biological system modeling; Chaos; Delay effects; Numerical stability; Stability analysis; Hopf bifurcation; chaos; three species food chain; time delay;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2011 Fourth International Workshop on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4577-1798-7
DOI :
10.1109/IWCFTA.2011.41
