Adaptation of SIR models to reaction diffusion model

Several epidemics occurred, which plays a vital role in the history of the world from past to present. Therefore, the mathematical model has been an essential tool to check the spreading and analysis of diseases. The models that are significant for public health precautions guide the character of the epidemiological and spreading mechanism. The works have been still continuing to minimize for the effects of COVID-19 pandemic rapidly, ongoing from December 2019. In this study, SIR, SEIR and SIRS epidemiological models were investigated and the solutions of these models were examined in order to control the spread of diseases and to conduct disease analysis correctly. The aim of this study is to explain the mathematical properties of these epidemiological models and to emphasize the importance of the use of mathematical modelling in epidemiology.