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.
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页数：17
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