<span>Changing perception through the art of mathematical modeling</span>

Abstract

Nowadays, infectious diseases are disorders caused by organisms — such as bacteria, viruses, fungi or parasites. Many organisms live in and on our bodies. They’re normally harmless or even helpful. But certain microbes have the potential to cause disease in specific situations. It is possible for some infectious diseases to spread from person to person. Others are spread by animals or insects. In this study, we build certain fundamental models, such as SI, SIR, SIRS, and SEIR, and in numerical simulations, we take into account random parameters to determine the dynamics of the model’s behavior. Finally, we present several studies in mathematical modeling of real situation relevant to epidemiology and population dynamic systems.