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

scholarly journals Stability results on age-structured SIS epidemic model with coupling impulsive effect

2006 ◽  
Vol 2006 ◽  
pp. 1-11 ◽  
Author(s):  
Helong Liu ◽  
Houbao Xu ◽  
Jingyuan Yu ◽  
Guangtian Zhu
Keyword(s):  
Blood Transfusion ◽  
Epidemic Model ◽  
Impulsive Effect ◽  
Asymptotically Stable ◽  
Transmission Rates ◽  
Sis Epidemic Model ◽  
Age Structured ◽  
Stability Results ◽  
Time Lead ◽  
Sis Epidemic

We develop an age-structured epidemic model for malaria with impulsive effect, and consider the effect of blood transfusion and infected-vector transmission. Transmission rates depend on age. We derive the condition in which eradication solution is locally asymptotically stable. The condition shows that large enough pulse reducing proportion and relatively small interpulse time lead to the eradication of the diseases.

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.

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