scholarly journals Optimal control of the SIR epidemic model based on dynamical systems theory

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Kazuyuki Yagasaki
Keyword(s):  
Optimal Control ◽  
Dynamical Systems ◽  
Systems Theory ◽  
Epidemic Model ◽  
Dynamical Systems Theory ◽  
Sir Epidemic Model ◽  
Model Based ◽  
Sir Epidemic

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 Optimal control of an epidemic model with a saturated incidence rate

2012 ◽  
Vol 17 (4) ◽  
pp. 448-459 ◽  
Author(s):  
Hassan Laarabi ◽  
El Houssine Labriji ◽  
Mostafa Rachik ◽  
Abdelilah Kaddar
Keyword(s):  
Optimal Control ◽  
Incidence Rate ◽  
Epidemic Model ◽  
Sir Epidemic Model ◽  
Sir Epidemic ◽  
Control Framework ◽  
Adjoint Variables ◽  
Saturated Incidence Rate ◽  
Saturated Incidence

In this study we consider a mathematical model of an SIR epidemic model with a saturated incidence rate. We used the optimal vaccination strategies to minimize the susceptible and infected individuals and to maximize the number of recovered individuals. We work in the nonlinear optimal control framework. The existence result was discussed. A characterization of the optimal control via adjoint variables was established. We obtained an optimality system that we sought to solve numerically by a competitive Gauss–Seidel like implicit difference method.

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