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
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;
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.2011.60
