COVID-19 propagation mathematical modeling: the case of Senegal

Abstract

The outburst of the COVID-19 pandemic has raised several questions leading to a complex system in terms of modeling. Indeed, the modeling of the epidemic, at the level of a country, needs considering each of the different sources of contamination as well as the public health authorities strategy, in a specific way. With this in mind, in the present paper, we develop a mathematical model of the COVID-19 epidemic in Senegal. In the model, the population is subdivided into five compartments: susceptible, infected but asymptomatic, symptomatic, quarantined, and recovered immune people. In addition, due to its important impact in the propagation of the disease, we add one more variable: the number of infected objects. Therefore, the model corresponds to a system of six non-linear ordinary differential equations we submit to an analytical study to prove the relevancy of the model,? simulate the evolution of the epidemic, and retrieve epidemiological parameters, namely the infection rate and the basic reproduction number

Keywords

• covid-19
• mathematical model
• fitting strategy
• reproduction number