Coinfection dynamics of two diseases in a single host population

被引：37

作者：

Gao, Daozhou ^{[1
,2
]}

Porco, Travis C. ^{[2
,3
,4
]}

Ruan, Shigui ^{[5
]}

机构：

[1] Shanghai Normal Univ, Math & Sci Coll, Shanghai, Peoples R China

[2] Univ Calif San Francisco, Francis I Proctor Fdn, San Francisco, CA 94143 USA

[3] Univ Calif San Francisco, Dept Ophthalmol, San Francisco, CA 94143 USA

[4] Univ Calif San Francisco, Dept Epidemiol & Biostat, San Francisco, CA 94143 USA

[5] Univ Miami, Dept Math, Coral Gables, FL 33124 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 442卷 / 01期

基金：

美国国家科学基金会;

关键词：

Coinfection; Invasion reproduction number; Backward bifurcation; Bistability; Hopf bifurcation; Uniform persistence; HUMAN-IMMUNODEFICIENCY-VIRUS; HEPATITIS-B; EVOLUTIONARY EPIDEMIOLOGY; SIMULTANEOUS TRANSMISSION; MATHEMATICAL-ANALYSIS; MULTIPLE STRAINS; UNITED-STATES; C-VIRUS; HIV; INFECTION;

D O I：

10.1016/j.jmaa.2016.04.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A susceptible-infectious-susceptible (SIS) epidemic model that describes the coinfection and cotransmission of two infectious diseases spreading through a single population is studied. The host population consists of two subclasses: susceptible and infectious, and the infectious individuals are further divided into three subgroups: those infected by the first agent/pathogen, the second agent/pathogen, and both. The basic reproduction numbers for all cases are derived which completely determine the global stability of the system if the presence of one agent/pathogen does not affect the transmission of the other. When the constraint on the transmissibility of the dually infected hosts is removed, we introduce the invasion reproduction number, compare it with two other types of reproduction number and show the uniform persistence of both diseases under certain conditions. Numerical simulations suggest that the system can display much richer dynamics such as backward bifurcation, bistability and Hopf bifurcation. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：171 / 188

页数：18

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