Exact solution of the Susceptible–Infectious–Recovered–Deceased (SIRD) epidemic model

Abstract

Exact solution of the Susceptible-Infectious-Recovered-Deceased (SIRD) epidemic model is established, and various properties of solution are derived directly from the exact solution. The exact solution of an initial value problem for SIRD epidemic model is represented in an explicit form, and it is shown that the parametric form of the exact solution is a solution of some linear differential system.

Keywords

• exact solution
• sird epidemic model
• initial value problem
• linear differential system