scholarly journals Using an age-structured COVID-19 epidemic model and data to model virulence evolution in Wuhan, China

2022 ◽  
Vol 16 (1) ◽  
pp. 14-28
Author(s):  
Xi-Chao Duan ◽  
Xue-Zhi Li ◽  
Maia Martcheva ◽  
Sanling Yuan
Keyword(s):  
Epidemic Model ◽  
Virulence Evolution ◽  
Age Structured

scholarly journals Lockdown measures and their impact on single- and two-age-structured epidemic model for the COVID-19 outbreak in Mexico

2021 ◽  
pp. 108590
Author(s):  
J. Cuevas-Maraver ◽  
P.G. Kevrekidis ◽  
Q.Y. Chen ◽  
G.A. Kevrekidis ◽  
Víctor Villalobos-Daniel ◽  
...  
Keyword(s):  
Epidemic Model ◽  
Age Structured

scholarly journals Stability Analysis of an Age-Structured SIR Epidemic Model with a Reduction Method to ODEs

Mathematics ◽  
2018 ◽  
Vol 6 (9) ◽  
pp. 147 ◽  
Author(s):  
Toshikazu Kuniya
Keyword(s):  
Stability Analysis ◽  
Epidemic Model ◽  
Disease Transmission ◽  
Transmission Function ◽  
Endemic Equilibrium ◽  
Dimensional System ◽  
Relevant Parameter ◽  
Sir Epidemic Model ◽  
Sir Epidemic ◽  
Age Structured

In this paper, we are concerned with the asymptotic stability of the nontrivial endemic equilibrium of an age-structured susceptible-infective-recovered (SIR) epidemic model. For a special form of the disease transmission function, we perform the reduction of the model into a four-dimensional system of ordinary differential equations (ODEs). We show that the unique endemic equilibrium of the reduced system exists if the basic reproduction number for the original system is greater than unity. Furthermore, we perform the stability analysis of the endemic equilibrium and obtain a fourth-order characteristic equation. By using the Routh–Hurwitz criterion, we numerically show that the endemic equilibrium is asymptotically stable in some epidemiologically relevant parameter settings.

Age-structured dengue epidemic model

2014 ◽  
Vol 93 (11) ◽  
pp. 2249-2276
Author(s):  
John M. Cochran ◽  
Yongzhi Xu
Keyword(s):  
Epidemic Model ◽  
Age Structured ◽  
Dengue Epidemic

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

2017 ◽  
Vol 10 (03) ◽  
pp. 1750038 ◽  
Author(s):  
Lili Liu ◽  
Xianning Liu
Keyword(s):  
Asymptotic Stability ◽  
Global Asymptotic Stability ◽  
Epidemic Model ◽  
Uniform Persistence ◽  
Global Dynamics ◽  
Sharp Threshold ◽  
Age Dependent ◽  
Waning Immunity ◽  
Age Structured ◽  
Disease Free

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.

scholarly journals Threshold and stability results for an age-structured SEIR epidemic model

2001 ◽  
Vol 42 (6-7) ◽  
pp. 883-907 ◽  
Author(s):  
Xue-Zhi Li ◽  
Geni Gupur ◽  
Guang-Tian Zhu
Keyword(s):  
Epidemic Model ◽  
Age Structured ◽  
Stability Results
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