Title :
Bifurcation and Chaos Analysis for a Lotka-Volterra System with Time Delay
Author :
Yang, Wenjie ; Lin, Yiping
Author_Institution :
Dept. of Appl. Math., Kunming Univ. of Sci. & Technol., Kunming, China
Abstract :
This paper is devoted to study the problem of a partially dependent predator-prey model with time delay. 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 our analytical results, the largest Lyapunov exponent is computed, and the chaotic behaviors are observed.
Keywords :
Lyapunov methods; Volterra equations; bifurcation; chaos; delays; numerical analysis; Hopf bifurcations; Lotka-Volterra system; Lyapunov exponent; chaos analysis; interior positive equilibrium; numerical simulations; predator-prey model; time delay; Asymptotic stability; Bifurcation; Chaos; Delay; Numerical stability; Predator prey systems; Stability analysis; Hopf bifurcation; Lotka-Volterra system; chaos; time delay;
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.2010.27
