Hopf bifurcation of a delay SIRS epidemic model with novel nonlinear incidence: Application to scarlet fever

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期刊论文

作者：

Li, Yong;Liu, Xianning*;Wang, Lianwen;Zhang, Xingan

通讯作者：

Liu, Xianning

作者机构：

[Li, Yong; Liu, Xianning] Southwest Univ, Minist Educ, Sch Math & Stat, Key Lab Ecoenvironm Three Gorges Reservoir Reg, Chongqing 400715, Peoples R China.

[Li, Yong] Yangtze Univ, Sch Informat & Math, Jingzhou 434023, Peoples R China.

[Wang, Lianwen] Hubei Univ Nationalities, Dept Math, Enshi 445000, Peoples R China.

[Zhang, Xingan] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.

通讯机构：

[Liu, Xianning] S

Southwest Univ, Minist Educ, Sch Math & Stat, Key Lab Ecoenvironm Three Gorges Reservoir Reg, Chongqing 400715, Peoples R China.

语种：

英文

关键词：

Scarlet fever;behavior and habits;nonlinear incidence;Hopf bifurcation;data fitting

期刊：

生物数学学报：英文版

ISSN：

1793-5245

年：

2018

卷：

期：

页码：

167-193

DOI：

10.1142/S1793524518500912

基金类别：

National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11671327, 11547006, 11471133]; Chongqing Postdoctoral Science Foundation [Xm2017139]; Scientific Research Project of Hubei Provincial Department of Education [B2017039]

机构署名：

本校为其他机构

院系归属：

数学与统计学学院

摘要：

An SIRS epidemic model incorporating incubation time delay and novel nonlinear incidence is proposed and analyzed to seek for the control strategies of scarlet fever, where the contact rate which can reflect the regular behavior and habit changes of children is non-monotonic with respect to the number of susceptible. The model without delay may exhibit backward bifurcation and bistable states even though the basic reproduction number is less than unit. Furthermore, we derive the conditions for occurrence of Hopf bifurcation when the time delay is considered as a bifurcation parameter. The data...

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Hopf bifurcation of a delay SIRS epidemic model with novel nonlinear incidence: Application to scarlet fever

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