Design of a Quarantine SITR Model Using the Novel Coronavirus Dynamics

Abstract

This present study presents the mathematical dynamics of a new nonlinear quarantine SITR model based on the novel coronavirus (COVID-19). This study aims to investigate a mathematical model for coronavirus (COVID-19) and reveal its associated results. These studies collectively describe the social, psychological, interactive, behavioral, and mental health impacts of the novel coronavirus pandemic on people worldwide by using an efficient quarantine SITR model based on the most popular iterative scheme Runge-Kutta Method. The novelty of this attempt is that this model is defined as susceptible (S) class, infected (I) class, treatment (T)class, and recovered (R) class, i.e., quarantine SITR model. Furthermore, the class quarantine is also introducedin the model as the treatment subclass. The brief feature of each class is explained along with the explanation ofeach factor. In order to solve this new nonlinear quarantine SITR mathematical model, the famous Runge-Kuttanumerical scheme is applied. Moreover, some plots based on the new nonlinear quarantine SITR model usingdifferent parameter values indicate the existing details of this dangerous novel COVID-19. For example, the graphsof the susceptible people are decreasing, while those susceptible people who have some diseases or have old age aregetting higher up to dangerous levels. This real evidence indicates the exactness of the new nonlinear quarantineSITR model.