Global threshold dynamics of an SVIR model with age-dependent infection and relapse

被引：6

作者：

Wang, Jinliang ^{[1
]}

Lang, Jiying ^{[1
]}

Chen, Yuming ^{[2
]}

机构：

[1] Heilongjiang Univ, Sch Math Sci, Harbin, Peoples R China

[2] Wilfrid Laurier Univ, Dept Math, Waterloo, ON, Canada

来源：

JOURNAL OF BIOLOGICAL DYNAMICS | 2017年 / 11卷

基金：

加拿大自然科学与工程研究理事会; 中国国家自然科学基金;

关键词：

SVIR model; basic reproduction number; global stability; infection age; relapse age; SEIR EPIDEMIOLOGIC MODEL; VARYING INFECTIVITY; INFINITE DELAY; HIV-INFECTION; STABILITY; VACCINATION; DISEASES; LATENCY;

D O I：

10.1080/17513758.2016.1226436

中图分类号：

Q14 [生态学（生物生态学）];

学科分类号：

071012 ; 0713 ;

摘要：

A susceptible-vaccinated-infectious-recovered epidemic model with infection age and relapse age has been formulated. We first address the asymptotic smoothness of the solution semiflow, existence of a global attractor, and uniform persistence of the model. Then by constructing suitable Volterra-type Lyapunov functionals, we establish a global threshold dynamics of the model, which is determined by the basic reproduction number. Biologically, it is confirmed that neglecting the possibility of vaccinees getting infected will over-estimate the effect of vaccination strategies. The obtained results generalize some existing ones.

引用

页码：427 / 454

页数：28

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