Work

Optimal Regional Control of a Time-Fractional Spatiotemporal SIR Model with Vaccination and Treatment Strategies

Year: 2025

Type: article

Abstract: In this study, we analyze a time-fractional spatiotemporal SIR model in a specific area Ω. Taking into account the available resources, vaccines are allocated to region ω1⊆Ω and treatments to region ω2⊆Ω, which may or may not coincide. Our objective is to minimize infections and costs by implementing an optimal regional control strategy. We establish the existence of optimal controls and related solutions, providing a characterization of optimal control in terms of state and adjoint functions. We employ the forward–backward sweep method to solve the associated optimality system numerically. The findings indicate that a combined strategy of vaccination and treatment is more effective in reducing disease transmission from adjacent regions.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9060382

Authors: Marouane Karim, Issam Khaloufi, Soukaina Ben Rhila, Mahmoud A. Zaky, Maged Z. Youssef, Mostafa Rachik

Institutions: École Marocaine des Sciences de l'Ingénieur, University of Hassan II Casablanca, Imam Mohammad ibn Saud Islamic University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: gold

Estimated APC paid: $3,258