Optimal Control of an SIR Model with Delay in State and Control Variables | Zendy

Mohamed Elhia | Zendy; Mostafa Rachik | Zendy; El Habib Benlahmar | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Optimal Control of an SIR Model with Delay in State and Control Variables

Author(s) -

Mohamed Elhia,

Mostafa Rachik,

El Habib Benlahmar

Publication year - 2013

Publication title -

isrn biomathematics

Language(s) - English

Resource type - Journals

ISSN - 2090-7702

DOI - 10.1155/2013/403549

Subject(s) - pontryagin's minimum principle , optimal control , discretization , control variable , control theory (sociology) , control (management) , mathematics , maximum principle , mathematical optimization , state variable , state (computer science) , computer science , statistics , algorithm , artificial intelligence , mathematical analysis , physics , thermodynamics

We will investigate the optimal control strategy of an SIR epidemic model with time delay in state and control variables. We use a vaccination program to minimize the number of susceptible and infected individuals and to maximize the number of recovered individuals. Existence for the optimal control is established; Pontryagin’s maximum principle is used to characterize this optimal control, and the optimality system is solved by a discretization method based on the forward and backward difference approximations. The numerical simulation is carried out using data regarding the course of influenza A (H1N1) in Morocco. The obtained results confirm the performance of the optimization strategy.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research