Optimization Strategies Applied to Discrete Epidemic Models with Specific Nonlinear Incidence Rate


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Authors

  • Amine Bouaine Department of Mathematics and computer Sciences, HassanII Mohammedia University, Sidi Othman, Casablanca, Morocco
  • Mostafa Rachik Department of Mathematics and computer Sciences, HassanII Mohammedia University, Sidi Othman, Casablanca, Morocco
  • Khalid Hattaf Centre R´egional des M´etiers de l’Education et de la Formation (CRMEF), 20340 Derb Ghalef, Casablanca, Morocco

Keywords:

Optimal control, Discrete epidemic model, Vaccination, Pontryagin's maximum principle

Abstract

The aim of this paper is to study discrete epidemic models with specific non linear incidence rate, and to investigate, in discrete time, optimal control strategies in which the controls are: vaccination and/or treatment. So, we make use of Pontryagin's maximum principle in order to compare and choose the best medical policy and economical strategy can be adopted and implemented. To end, numerical simulations are carried out to confirm the validity of the models and to prove the performance of the optimization strategies.

 

 

Author Biographies

Amine Bouaine, Department of Mathematics and computer Sciences, HassanII Mohammedia University, Sidi Othman, Casablanca, Morocco

 

 

Mostafa Rachik, Department of Mathematics and computer Sciences, HassanII Mohammedia University, Sidi Othman, Casablanca, Morocco

 

 

Khalid Hattaf, Centre R´egional des M´etiers de l’Education et de la Formation (CRMEF), 20340 Derb Ghalef, Casablanca, Morocco

 

 

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Published

15-03-2016

How to Cite

Amine Bouaine, Mostafa Rachik, & Khalid Hattaf. (2016). Optimization Strategies Applied to Discrete Epidemic Models with Specific Nonlinear Incidence Rate. International Journal of Mathematics And Its Applications, 4(1 - D), 73–80. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/619

Issue

Vol. 4 No. 1 - D (2016)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.