Partial Differential Equation Optimation for Infectious Disease Model

Abstract

The most basic infectious disease model ,SIR model is widely used and upgraded to evaluate the affect of viruses now, because of the outbreak of Ebola. In this paper, we give a brief introduction to SIRS model, and adopt the SEIRS (Suspectable-Exposed-Infective-Recovered Suspectable), which apply partial differential equations to optimize the SIRS. By solving four Partial Differential Equations, we set a description of the relationship between the four kinds of people, time and space. The advantage of this method is that we consider the incubation period of viruses. Meanwhile, we show the numerical solution through diffusion figure of Ebola by using matlab.