In December 2019, a bulletin started to circulate out from China that a novel disease named Coronavirus (COVID-19) was speedily spreading over the nation and population getting infected in larger volume, it was caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). Due to the severity of the disease with higher transmission rate, it brought an alert and urgent initiation in the researchers, scholars, epidemiologists and state institutions to employ statistical simulation models of various kinds and collected available data to investigate the naturally erratic course of this outbreak COVID-19 along with the consequences of various parameters such as pharmaceutical and non-pharmaceutical assumptions. The outbreak of COVID-19 brought an distinctive chance for the communities to get to know about mathematical modeling thru the scientists appearing on news channels proposing their models with better forecasting and speculation results. But, these forecasting and speculations got changed vividly over the period while transmission of infection kept on raising higher day by day putting pressure on governmental authorities of every nation to implement strict non-pharmaceutical methods until the transmission of the infection were controlled and vaccine invented. In response, some wealthy nations implemented state sanitization programs to fight the COVID-19 combat by sanitizing buildings, streets, offices, schools, hospitals etc. while many of the poor nations suffered heavily with shortage of medical equipment’s and all necessities of basic life routine which resulted in higher death ratios. This review paper discusses such extra mile efforts taken by scientists, researchers and scholars by proposing an enhanced classical SIR compartmental models incorporated with other techniques as to achieve higher accuracy forecasting ratio to support the governmental bodies in taking valid decisions to overcome the pandemic in early phases and avoid economic disaster as well as higher death ratio.

COVID-19, SIR Model, Forecasting, Epidemiology Model, Mathematical Model, Compartmental Model