Global stability of an age-structured SVEIR epidemic model with waning immunity, latency and relapse

被引：7
作者：
Liu, Lili [1 ,2 ]
Liu, Xianning [2 ]
机构：
[1] Shanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China
[2] Southwest Univ, Sch Math & Stat, Minist Educ, Key Lab Ecoenvironm Gorges Reservoir Reg 3, Chongqing 400715, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2017年 / 10卷 / 03期
基金：
中国国家自然科学基金;
关键词：
SVEIR epidemic model; waning immunity; age-dependent latency; age-dependent relapse; global stability; VACCINATION; TUBERCULOSIS; POPULATION; DISEASES; VIRUS;
D O I：
10.1142/S1793524517500383
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The global dynamics of an SVEIR epidemic model with age-dependent waning immunity, latency and relapse are studied. Sharp threshold properties for global asymptotic stability of both disease-free equilibrium and endemic equilibrium are given. The asymptotic smoothness, uniform persistence and the existence of interior global attractor of the semi-flow generated by a family of solutions of the system are also addressed. Furthermore, some related strategies for controlling the spread of diseases are discussed.
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页数：28
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