Fractional modeling of Covid-19 with preventive measures in Caputo approach
Windjiré Somé1,4, Germain Kaboré1, Martin Nitiema1, Ismaël Diallo2 and Ousseni So3,
1 Laboratoire LANIBIO, Université Joseph KI-ZERBO, Ouagadougou, Burkina Faso
2 Département de la Santé, Université Joseph KI-ZERBO, Ouagadougou, Burkina Faso
3 Département de Mathématiques, Ecole Normale Supérieure
4 Centre Universitaire de Dori
Received on July 9, 2025, revised version on January 15 and February 2, 2026
Accepted on May 30, 2026
Communicated by Maximilian F. Hasler
| Abstract. Mathematical models are used in the solving of complex phenomena in several areas in different approaches. In epidemiology, various models have been developed in the modeling of diseases. In this paper, a fractional compartmental model in Caputo approach is used in the modeling of the Covid-19 pandemic taking into account the effects of preventive measures. From the mathematical analysis of the model we proved that the model is well-posed. Aspects such as existence, equilibrium points and their stability, the basic reproduction number R0 and sensitivity analysis have been discussed. The conditions of the equilibria stability have been established according to R0. Sensitivity analysis allowed us to identify the parameters which contribute to the spread of the disease. Numerical simulations have been performed to support the theoretical results. | |
| Keywords: | Covid-19; fractional model; equilibrium; stability; Sensitivity analysis; simulation. |
| 2010 Mathematics Subject Classification: 34D20; 34D23; 92B05; 26A33; 34A08. | |
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