Global stability of an SEIR epidemic model with age-dependent latency and relapse

2015 ◽  
Vol 24 ◽  
pp. 18-35 ◽  
Author(s):  
Lili Liu ◽  
Jinliang Wang ◽  
Xianning Liu
Keyword(s):  
Global Stability ◽  
Epidemic Model ◽  
Age Dependent

Global stability of an epidemic model with age-dependent vaccination, latent and relapse

2017 ◽  
Vol 105 ◽  
pp. 195-207 ◽  
Author(s):  
Yingke Li ◽  
Zhidong Teng ◽  
Cheng Hu ◽  
Qing Ge
Keyword(s):  
Global Stability ◽  
Epidemic Model ◽  
Age Dependent

Global stability of an information-related epidemic model with age-dependent latency and relapse

2018 ◽  
Vol 36 ◽  
pp. 30-47 ◽  
Author(s):  
Rong Hu ◽  
Lili Liu ◽  
Xinzhi Ren ◽  
Xianning Liu
Keyword(s):  
Global Stability ◽  
Epidemic Model ◽  
Age Dependent

NOTE ON THE UNIQUENESS OF AN ENDEMIC EQUILIBRIUM OF AN EPIDEMIC MODEL WITH BOOSTING OF IMMUNITY

2021 ◽  
pp. 1-12
Author(s):  
LIU YANG ◽  
YUKIHIKO NAKATA
Keyword(s):  
Epidemic Model ◽  
Disease Transmission ◽  
Immune Status ◽  
Natural Infection ◽  
Population Level ◽  
Qualitative Property ◽  
Endemic Equilibrium ◽  
Unique Existence ◽  
Nonlinear Version ◽  
Age Dependent

For some diseases, it is recognized that immunity acquired by natural infection and vaccination subsequently wanes. As such, immunity provides temporal protection to recovered individuals from an infection. An immune period is extended owing to boosting of immunity by asymptomatic re-exposure to an infection. An individual’s immune status plays an important role in the spread of infectious diseases at the population level. We study an age-dependent epidemic model formulated as a nonlinear version of the Aron epidemic model, which incorporates boosting of immunity by a system of delay equations and study the existence of an endemic equilibrium to observe whether boosting of immunity changes the qualitative property of the existence of the equilibrium. We establish a sufficient condition related to the strength of disease transmission from subclinical and clinical infective populations, for the unique existence of an endemic equilibrium.

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