  In this paper, we propose a time-dependent
Susceptible-Exposed-Infectious-Recovered-Died (SEIRD) reaction-diffusion system
for the COVID-19 pandemic and we deal with its derivation from a kinetic model.
The derivation is obtained by mathematical description delivered at the
micro-scale of individuals. Our approach is based on the micro-macro
decomposition which leads to an equivalent formulation of the kinetic model
which couples the microscopic equations with the macroscopic equations. We
develop a numerical asymptotic preservation scheme to solve the kinetic model.
The proposed approach is validated by various numerical tests where particular
attention is paid to the Moroccan situation against the actual pandemic.
