文章基本信息

标题：Stability and Hopf bifurcation analysis of a delayed tobacco smoking model containing snuffing class
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作者：Zizhen Zhang ; Junchen Zou ; Ranjit Kumar Upadhyay 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：1-19
DOI：10.1186/s13662-020-02808-5
出版社：Hindawi Publishing Corporation
摘要：This paper is concerned with a delayed tobacco smoking model containing users in the form of snuffing. Its dynamics is studied in terms of local stability and Hopf bifurcation by regarding the time delay as a bifurcation parameter and analyzing the associated characteristic transcendental equation. Specially, specific formulas determining the stability and direction of the Hopf bifurcation are derived with the aid of the normal form theory and the center manifold theorem. Using LMI techniques, global exponential stability results for smoking present equilibrium have been presented. Computer simulations are implemented to explain the obtained analytical results.
关键词：Hopf bifurcation;Global exponential stability;Time delay;Tobacco smoking model;Periodic solutions;