Mathematical modeling of pandemic Covid-19

Abstract

In this paper, by introducing well-established epidemiological models, compartmental models and Ising models, examples of their applications in describing epidemics, including some aspects of Covid-19, and several perspectives are presented. The importance of social distancing in preventing the spread of Covid-19 will also be demonstrated. We make a connection between the standard mathematical models employed in epidemics and well-established concepts in condensed matter Physics, such as the Fermi gas and the Fermi-liquid picture. Given the impossibility of making a precise forecast of the disease spread, the importance of taking into account additional factors, such as climate changes and urbanization, in the mathematical description of epidemics are considered.

Keywords

• epidemic
• covid-19
• ising model
• $ sir $ model
• gaussian type function
• logistic function