Numerical analysis approach for models of COVID-19 and other epidemics

Abstract

The world wide spread of COVID-19 epidemic has instigated an unprecedented demand and supply of research related to this epidemic. Together with medical research for treatment and cure of the pandemic, efficient mathematical modeling of epidemics is the need of hour. First, this paper depicts a detailed and comprehensive compendium of various numerical methods used for infectious diseases modeling during last 14 years including the very recent work done for COVID-19 models. This gives researchers a good insight about past work done, present efforts and future scope of numerical analysis methods for epidemic modeling. Second, this paper also proposes its numerical analysis approach based on Adomian decomposition method (ADM) for generalized SEIR model of COVID-19. The proposed method is shown to give very accurate numerical results.