Simulation of the optimal control strategies to mitigate smartphone virus infection transmission dynamics

Auteurs

  • T. I. Chinebu* Department of Applied Sciences, Federal College of Dental Technology and Therapy, P.M.B. 01473, Trans Ekulu Enugu, Nigeria
  • G. C. E. Mbah†** Department of Mathematics, University of Nigeria, Nsukka, Nigeria
  • E. A. Jooda*
  • E. O. Ezennorom‡
  • I. V. Udegbe‡

Mots-clés :

smartphone virus, optimal control, vaccination, quarantine, treatment, pontryagin’s maximum principle

Résumé

In this study, a mathematical model of the optimal control strategies of Smartphone virus infection transmission dynamics incorporating vaccination, quarantine and treatment as the control parameters is presented. Pontryagin’s maximum principle is used to characterize the optimal controls and the optimality system is solved by an iteration method. We performed some numerical simulations to verify the theoretical analysis with Runge-Kutta method of order four in MATLAB. The numerical simulation of the model shows that effective vaccination, quarantine and treatment as control strategies can eradicate Smartphone virus infection form the population. Finally, our findings strongly suggest that high coverage of vaccination, quarantine and treatment are critical to the success of Smartphone virus infection control.

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Publiée

2023-09-28

Comment citer

Chinebu*, T. I. ., Mbah†**, G. C. E. ., Jooda*, E. A. ., Ezennorom‡, E. O. ., & Udegbe‡, I. V. . (2023). Simulation of the optimal control strategies to mitigate smartphone virus infection transmission dynamics. International Journal of Mathematical Analysis and Modelling, 5(1). Consulté à l’adresse https://tnsmb.org/journal/index.php/ijmam/article/view/36

Numéro

Vol. 5 No 1 (2022): Volume 5, Issue 1

Rubrique

Articles