"Optimal Control and General Fractional Description for a Complex Biolo" by Amin Jajarmi and Fahimeh Akhavan Ghassabzade

Progress in Fractional Differentiation & Applications

Article Title

Optimal Control and General Fractional Description for a Complex Biological System

Authors

Amin Jajarmi, Department of Electrical Engineering, University of Bojnord, P.O. Box, 94531-1339, Bojnord, IranFollow
Fahimeh Akhavan Ghassabzade, Department of Mathematics, Faculty of Sciences, University of Gonabad, Gonabad, IranFollow

Author Country (or Countries)

Iran

Abstract

The main objective of this research is to investigate a new mathematical model involving the general form of Caputo fractional derivative to explore a real case of cholera outbreak. In this model, the effect of vaccination is included, and an optimal control strategy is carried out for the purpose of treatment through quarantine. We then solve the fractional optimal control problem by a forward-backward sweep iterative algorithm and present some comparative results in order to verify the model and show the efficacy of the vaccination and optimal control treatments. Simulation results show that the combination of quarantine and vaccination reduces the numbers of infected people and bacteria concentration effectively.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/090304

Recommended Citation

Jajarmi, Amin and Akhavan Ghassabzade, Fahimeh (2023) "Optimal Control and General Fractional Description for a Complex Biological System," Progress in Fractional Differentiation & Applications: Vol. 9: Iss. 3, Article 4.
DOI: http://dx.doi.org/10.18576/pfda/090304
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol9/iss3/4

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