Epidemic model with strain-dependent transmission rate

被引：4

作者：

Banerjee, M. ^{[1
]}

Lipniacki, T. ^{[2
]}

d'Onofrio, A. ^{[3
,4
]}

Volpert, V. ^{[4
,5
]}

机构：

[1] IIT Kanpur, Dept Math & Stat, Kanpur 208016, India

[2] Polish Acad Sci, Inst Fundamental Technol Res, Dept Biosyst & Soft Matter, Warsaw, Poland

[3] Univ Trieste, Dept Math & Geosci, Via Alfonso Valerio 12, I-34127 Trieste, Italy

[4] Univ Lyon 1, Inst Camille Jordan, UMR CNRS 5208, F-69622 Villeurbanne, France

[5] Peoples Friendship Univ Russia RUDN Univ, 6 Miklukho Maklaya St, Moscow 117198, Russia

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2022年 / 114卷

关键词：

Epidemic model; Strain-dependent transmission rate; Reinfection; MATHEMATICAL-THEORY; INFLUENZA; DYNAMICS;

D O I：

10.1016/j.cnsns.2022.106641

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Persistent epidemic can lead to the emergence of new virus strains due to virus mutations. This work is devoted to the SIR model with strain-dependence of infected individuals due to virus mutations and a continuous strain variable. Characterization of epidemic progression is obtained for a strain-dependent infectivity function in numerical simulations and with some analytical estimates. Taking into account limited infection-induced immunity, transition from recovered to susceptible compartment is considered. Different scenarios of epidemic progression are identified. In the case of a monotonically growing transmission rate as a function of strain, only one epidemic outbreak is observed. However, if the transmission rate is a non-monotonic function, then multiple outbreaks can occur. (C) 2022 Elsevier B.V. All rights reserved.

引用

页数：17

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