文章基本信息

标题：Fractional modeling and control in a delayed predator-prey system: extended feedback scheme
本地全文：下载
作者：Shuai Li ; Chengdai Huang ; Shuli Guo 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-18
DOI：10.1186/s13662-020-02738-2
出版社：Hindawi Publishing Corporation
摘要：This paper’s goal is to delve into the fractional modeling and bifurcation control for a predator-prey model with prey dispersal and gestation delay. First, the bifurcation criteria for the uncontrolled system are obtained by viewing gestation delay as a bifurcation parameter. It is revealed that gestation delay can induce periodic oscillations. Then, an extended feedback controller is deeply conceived to suppress Hopf bifurcation for the underlying system. The results reflect that the stability behaviors of the uncontrolled system are saliently enhanced by adjusting feedback gain and feedback delay if other coefficients are fixed. To protrude the correctness and excellent feature of our works, two simulation examples are eventually carried out.
关键词：Fractional derivative;Bifurcation control;Predator-prey system;Dispersal;Time delay;