Optimal Control of an SIR Epidemic Model with a Saturated Treatment

2016 ◽  
Vol 10 (1) ◽  
pp. 185-191 ◽  
Author(s):  
Abid Ali Lashari
Keyword(s):  
Optimal Control ◽  
Epidemic Model ◽  
Sir Epidemic Model ◽  
Sir Epidemic ◽  
Saturated Treatment

scholarly journals Optimal control of a SIR epidemic model with general incidence function and a time delays

Cubo (Temuco) ◽  
2018 ◽  
Vol 20 (2) ◽  
pp. 53-66 ◽  
Author(s):  
Moussa Barro ◽  
Aboudramane Guiro ◽  
Dramane Ouedraogo
Keyword(s):  
Optimal Control ◽  
Epidemic Model ◽  
Time Delays ◽  
Sir Epidemic Model ◽  
Incidence Function ◽  
Sir Epidemic

scholarly journals Qualitative and Bifurcation Analysis of an SIR Epidemic Model with Saturated Treatment Function and Nonlinear Pulse Vaccination

2016 ◽  
Vol 2016 ◽  
pp. 1-18
Author(s):  
Xiangsen Liu ◽  
Binxiang Dai
Keyword(s):  
Epidemic Model ◽  
Sufficient Conditions ◽  
Sir Epidemic Model ◽  
Pulse Vaccination ◽  
Sir Epidemic ◽  
Treatment Function ◽  
Existence And Stability ◽  
The Stability ◽  
Saturated Treatment ◽  
Disease Free

An SIR epidemic model with saturated treatment function and nonlinear pulse vaccination is studied. The existence and stability of the disease-free periodic solution are investigated. The sufficient conditions for the persistence of the disease are obtained. The existence of the transcritical and flip bifurcations is considered by means of the bifurcation theory. The stability of epidemic periodic solutions is discussed. Furthermore, some numerical simulations are given to illustrate our results.

scholarly journals Optimal Vaccination Strategies of an SIR Epidemic Model with a Saturated Treatment

2013 ◽  
Vol 1 (3) ◽  
pp. 185-191
Author(s):  
Hassan Laarabi ◽  
Mostafa Rachik ◽  
Ouafa El Kahlaoui ◽  
El Houssine Labriji
Keyword(s):  
Epidemic Model ◽  
Sir Epidemic Model ◽  
Vaccination Strategies ◽  
Sir Epidemic ◽  
Saturated Treatment
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