文章基本信息

标题：Stability and Hopf bifurcation analysis in a fractional-order delayed paddy ecosystem
本地全文：下载
作者：Xiaoli Zhou ; Zhaohua Wu ; Zhiming Wang 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：2018
卷号：2018
期号：1
页码：315
DOI：10.1186/s13662-018-1719-3
语种：English
出版社：Hindawi Publishing Corporation
摘要：By introducing a delayed fractional-order differential equation model, we deal with the dynamics of the stability and Hopf bifurcation of a paddy ecosystem with three main components: rice, weeds, and inorganic fertilizer. In the system, there exists an equilibrium for rice and weeds extinction and an equilibrium for rice extinction or weeds extinction. We obtain sufficient conditions for the stability and Hopf bifurcation by analyzing their characteristic equation. Some numerical simulations validate our theoretical results.
关键词：Paddy ecosystem ; Fractional order ; Delay ; Stability ; Hopf bifurcation