| Issue |
MATEC Web Conf.
Volume 197, 2018
The 3rd Annual Applied Science and Engineering Conference (AASEC 2018)
|
|
|---|---|---|
| Article Number | 01004 | |
| Number of page(s) | 4 | |
| Section | Mathematics | |
| DOI | https://doi.org/10.1051/matecconf/201819701004 | |
| Published online | 12 September 2018 | |
The behaviour of measles transmission in three different populations
Universitas Negeri Surabaya, Department of Mathematics, Surabaya, Indonesia
* Corresponding author: budiprawoto@unesa.ac.id
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 
and the endemic equilibrium point 
. At the disease-free equilibrium, the behaviour of the model is stable when 
, while at the endemic equilibrium, its behaviour is stable for any positive parameters α, β, μ, μS, μI, and μR.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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