Hopf bifurcation analysis of a food web of four species

International Journal of Physical Sciences

Zhouchao Wei¹ 

关键词: Chaos;    bifurcation analysis;    food web;    prey-predator;    four-dimensional.;   

DOI  :  10.5897/IJPS11.1388

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

In this paper, we analyze the Hopf bifurcation of basic food web of four species based on standard normal form theory. The basic model we consider is owed to a bottom prey X, two competing predators Y and Z on X, and a super-predator W only on Y. It is found that periodic solutions arise from the main parametervaluesandthroughthrough a Hopf bifurcation point. The direction and type of the Hopf bifurcation involved as well as the parameter values also are determined.

【 授权许可】

CC BY