Waluya, S. B. (2012) MODEL EPIDEMI SEIR PADA PENYEBARAN PENYAKIT CAMPAK DENGAN PENGARUH VAKSINASI. UNNES Journal of Mathematics, 1 (2). pp. 110-117. ISSN 2252-6943

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Abstract

Measles is an acute highly contagious disease caused by Paramyxovirus. Measles is considered as a dangerous disease because it cause complications, brain and other organs damage, lifelong disability, paralysis and even death. This paper studies a mathematical model for the spread of measles by vaccination effect. Mathematical model which is used is SEIR epidemic model where birth rate is assumed equal to mortality rate. In this model, there are two equilibrium points; they are disease-free point and endemic point. The analysis showed the numbers of basic reproduction ratio. Having analyzed the stability of the equilibrium point, the disease-free equilibrium point will be asymptotically stable to While the endemic equilibrium will be asymptotically stable to . To illustrate the model, simulation model was carried out using the program Maple. For , the vaccination had not been able to make the disease disappear because the value is . In successfully make the disease disappear from the population because of the value R <1

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