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  3. Volume 11, Number 1, 2024
  4. The impact of rumors on the success of Covid-19 vaccination programs in a Coronavirus-infected environment: optimal control approach

The impact of rumors on the success of Covid-19 vaccination programs in a Coronavirus-infected environment: optimal control approach

MMC.
2024;
Volume 11, Number 1
: pp. 250–263
https://doi.org/10.23939/mmc2024.01.250
Received: February 24, 2023
Revised: December 16, 2023
Accepted: December 19, 2023

Balatif O., Kouidere A., Kada D., Rachik M.  The impact of rumors on the success of Covid-19 vaccination programs in a Coronavirus-infected environment: optimal control approach.  Mathematical Modeling and Computing. Vol. 11, No. 1, pp. 250–263 (2024)

Authors:
  1. O. Balatif
  2. A. Kouidere
  3. D. Kada
  4. M. Rachik
1
LMFA Laboratory, Department of Mathematics, Faculty of Sciences El Jadida, Chouaib Doukkali University
2
LAMS Laboratory, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University of Casablanca
3
LTIM Laboratory, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University of Casablanca
4
LAMS Laboratory, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University of Casablanca

In this paper, we propose a mathematical model that describes the effect of rumors on the success of vaccination programs against Covid-19 in an environment infected by the coronavirus.  The aim of this study is to highlight the role of addressing the spread of rumors regarding vaccination risks and booster doses in the success of vaccination programs and in achieving herd immunity.  Additionally, we formulate an optimal control problem by proposing several strategies, including awareness and anti-rumor programs, to assist country officials in achieving successful vaccination programs with optimal effort.  The existence of optimal controls is investigated, and Pontryagin's maximum principle is used to characterize them.  The optimality system is solved using an iterative method.  Finally, we conduct numerical simulations to verify the theoretical analysis using Matlab.

mathematical modeling
optimal control
rumors
vaccination
COVID-19
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