Fractional mathematical modeling for the transmission dynamics of SARS-CoV-2 infection

Abstract

This paper presents a mathematical model based on nonlinear PDEs of fractional veritable-order derivatives which describe the host population surviving on the transmission and evolution of the describes severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) pandemic. Five host population groups have been considered, the susceptible, exposed, infected, recovered, and deceased (SEIRD) populations. The proposed model is governed by PDEs with fractional variable-order derivatives. The proposed model is new and has not been introduced before in its current formulation, therefore, the proposed technique is not compared with other techniques or real scenarios for the same model. The advantage of the used fractional partial derivatives of variable order that it can model the rate of change of subpopulation for the debated model. As an efficient tool to obtain the solution of the proposed model, a modified analytical technique based on the Adomian decomposition method is introduced. However, the present study is in general and can be applied to a host population of any country that can help inform public health interventions.