Stability analysis of age-structured disabled population dynamics

2009 ◽  
Vol 43 (1) ◽  
pp. 72-74
Author(s):  
Peng Jigen ◽  
Song Xueli ◽  
Zhang Xiangqin
Keyword(s):  
Population Dynamics ◽  
Stability Analysis ◽  
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 & Size-structured Population Dynamics Models

2009 ◽  
Author(s):  
Mohamed O. El-Doma ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Population Dynamics ◽  
Structured Population ◽  
Structured Population Dynamics ◽  
Age Structured ◽  
Population Dynamics Models ◽  
Dynamics Models
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