scholarly journals Bifurcation analysis in SIR epidemic model with treatment

2018 ◽  
Vol 1000 ◽  
pp. 012169 ◽  
Author(s):  
S Balamuralitharan ◽  
M Radha
Keyword(s):  
Bifurcation Analysis ◽  
Epidemic Model ◽  
Sir Epidemic Model ◽  
Sir Epidemic

Stability and Bifurcation Analysis in a Discrete-Time SIR Epidemic Model with Fractional-Order

2019 ◽  
Vol 20 (3-4) ◽  
pp. 339-350 ◽  
Author(s):  
Moustafa El-Shahed ◽  
Ibrahim M. E. Abdelstar
Keyword(s):  
Fractional Order ◽  
Bifurcation Analysis ◽  
Epidemic Model ◽  
Equilibrium Points ◽  
Dynamical Behavior ◽  
Flip Bifurcation ◽  
Sir Epidemic Model ◽  
Sir Epidemic ◽  
Stability And Bifurcation ◽  
Stability And Bifurcation Analysis

AbstractIn this paper, the dynamical behavior of a discrete SIR epidemic model with fractional-order with non-monotonic incidence rate is discussed. The sufficient conditions of the locally asymptotic stability and bifurcation analysis of the equilibrium points are also discussed. The numerical simulations come to illustrate the dynamical behaviors of the model such as flip bifurcation, Hopf bifurcation and chaos phenomenon. The results of numerical simulation verify our theoretical results.

Analisis Titik Kesetimbangan Dan Kestabilan Penyebaran Penyakit Malaria di Distrik Manokwari Barat Berdasarkan Model Epidemik SIR

2012 ◽  
Vol 8 (2) ◽  
Author(s):  
Fandy Fandy ◽  
Andi Fajeriani Wyrasti ◽  
Tri Widjajanti
Keyword(s):  
Epidemic Model ◽  
Sir Epidemic Model ◽  
Endemic Diseases ◽  
Sir Epidemic

<em>Stability and equilibrium of malaria&rsquo;s epidemics in Manokwari Barat district based on SIR epidemic model will be discussed in this paper. The SIR epidemic model can be applied to make a model of endemic diseases like malaria. Based on this research, there are 2 types of the equilibrium of malaria&rsquo;s epidemics in Manokwari Barat District, endemic and non endemic point.</em>

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