Bifurcation and chaos of a three-species Lotka-Volterra food-chain model with spatial diffusion and time delays

Scientific Research and Essays

Liying Cai¹ 

关键词:  ;    Hopf bifurcation;    food chain;    reaction diffusion;    delay;    stability;    chaos.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Academic Journals

【 摘 要 】

In this paper, a three-species Lotka-Volterra food-chain model with spatial diffusion and time delays is investigated. We first analyze the local stability of the steady states and the existence of Hopf bifurcation to this system under homogeneous Neumann boundary conditions. We consider the effects of impulses on the dynamics of the above food-chain model without spatial diffusion. Numerical simulations show that the system with constant periodic impulsive perturbations admits rich complex dynamics.

【 授权许可】

CC BY