An SIR mathematical model for Dipterid disease

Abstract

In this paper we discuss SIR mathematical of diphtheria transmission by simplify the assumptions and find parameters that give contribution to endemic and nonendemic condition. The model assumes that infected humans can heal by itself. We try to analyse what happen in this simplest mathematical model of diphtheria transmission even though in practise, it is not realistic and cannot eliminate the disease. We use Basic Reproduction Number to analyse the endemic equilibrium. We open discussion if this model can be expanded by adding more complex parameters and variables.