Mathematical modeling of the Coronavirus (Covid-19) transmission dynamics using classical and fractional derivatives

 Mathematical modeling of the Coronavirus (Covid-19) transmission dynamics using classical and fractional derivatives

H Abboubakar, R Racke – 2022

The goal of this work is the formulation and analysis of a Covid-19 transmission dynamics model which takes into account two doses of the vaccination process, confinement, and treatment with limited resources, using both integer and fractional derivatives in the Caputo sense. After the model formulation with classical derivative, we start by establishing the positivity, boundedness, existence, and uniqueness of
solutions. Then, we compute the control reproduction number Rc and perform the …