<abstract xmlns="http://www.w3.org/1999/xhtml">

To have a more realistic model, in this paper, This manuscript is devoted to investigating a fractional-order mathematical model of Kouidere et al. That describes the dynamics of spread of African swine fever virus (ASFV). The aim of this work is to protect susceptible pigs from the virus, In our model, by including three controls which represent: the iron fencing and spraying pesticides and get rid.
The aims of this paper is to reduce the number of infected pigs and ticks by using optimal control strategy and fractinal order derivation.
Pontryagin’s maximal principle is used to describe optimal controls with Caputo time-fractional derivative and the optimal system is resolved in an iterative manner. Numerical simulations are presented based on the presented method. We finished tis article with a conclusion.
</abstract>

To have a more realistic model, in this paper, This manuscript is devoted to investigating a fractional-order mathematical model of Kouidere et al. That describes the dynamics of spread of African swine fever virus (ASFV). The aim of this work is to protect susceptible pigs from the virus, In our model, by including three controls which represent: the iron fencing and spraying pesticides and get rid.
The aims of this paper is to reduce the number of infected pigs and ticks by using optimal control strategy and fractinal order derivation.
Pontryagin’s maximal principle is used to describe optimal controls with Caputo time-fractional derivative and the optimal system is resolved in an iterative manner. Numerical simulations are presented based on the presented method. We finished tis article with a conclusion.

Fractional optimal control problem for a mathematical modeling of African swine fever virus transmission

LAMS, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik

Laboratory of Fundamental Mathematics and their Applications (LFMA)

Department of Mathematics, Faculty of Sciences El Jadida

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

To have a more realistic model, in this paper, This manuscript is devoted to investigating a fractional-order mathematical model of Kouidere et al. That...

Fractional optimal control problem for a mathematical modeling of African swine fever virus transmission

Publié en ligne: 01 févr. 2023

Pages: 97 - 110

Reçu: 02 juin 2022

Accepté: 02 déc. 2022

DOI: https://doi.org/10.2478/mjpaa-2023-0007

Mots clés
African swine fever virus, Optimal control, Mathematical model, ASF virus, fractional-order model

© 2023 Abdelfatah Kouidere et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fractional optimal control problem for a mathematical modeling of African swine fever virus transmission

Publié en ligne: 01 févr. 2023

Pages: 97 - 110

Reçu: 02 juin 2022

Accepté: 02 déc. 2022

DOI: https://doi.org/10.2478/mjpaa-2023-0007

Mots clésAfrican swine fever virus, Optimal control, Mathematical model, ASF virus, fractional-order model

© 2023 Abdelfatah Kouidere et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
African swine fever virus, Optimal control, Mathematical model, ASF virus, fractional-order model