Work

Fractional optimal control strategies for mitigating cholera epidemics: A mathematical modeling approach

Year: 2025

Type: article

Abstract: The SIQRB model is employed in this research to propose a Caputo-based fractional derivative optimal control model for the mitigation of cholera epidemics. Significant properties of the model, such as the non-negativity and boundedness of the solution, are verified. The basic reproduction number, , is calculated using the spectral radius of the next-generation matrix. The stability analysis demonstrates that the disease-free equilibrium is locally asymptotically stable when , while the endemic equilibrium is stable when . Numerical simulations are conducted using Euler’s method to demonstrate the importance of the control function. These MATLAB-based simulations illustrate the impact of fractional-order derivatives on cholera transmission dynamics and confirm the analytical results. The efficacy of fractional optimal control approaches in mitigating cholera epidemics is demonstrated.

Source: Journal of AppliedMath

DOI: 10.59400/jam2459

Authors: Barira Afzal, Muhammad Umar Riaz, Mustafa Habib

Institutions: University of Engineering and Technology Lahore, University of the Punjab

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: diamond

OpenAlex ID: W4408675174

FWCI:

Cites: 19

Cited by:

Related to: 10