The behaviour of measles transmission in three different populations

摘要

SIR Model can be employed to model the transmission of either fatal or non-fatal disease within a closed population based on certain assumptions. In this paper, the behaviour of non-fatal diseases transmission model is observed from three types of population, that is (i) increasing population, (ii) constant population, (iii) decreasing population. This paper acquired two equilibria, i.e, the disease-free equilibrium point {formula} and the endemic equilibrium point {formula} the disease-free equilibrium, the behaviour of the model is stable when {formula}, while at the endemic equilibrium, its behaviour is stable for any positive parameters α, β, μ, μ_S, μ_I and μ_R.