Unnes Journal of Mathematics
Vol 5 No 1 (2016)

MODEL EPIDEMI SIRS STOKASTIK DENGANSTUDI KASUS INFLUENZA

Nurlazuardini, Novia Nilam (Unknown)
Kharis, Muhammad (Unknown)
Hendikawati, Putriaji (Unknown)



Article Info

Publish Date
27 Feb 2017

Abstract

Epidemic SIRS model is an epidemic model which illustrate the spread of disease from suscept to infected, and then become a recovered and become suscept again depend of the immunity. In this article, we dicussed epidemic stochastics SIRS model with embedding epidemic deterministic model, analysis of the model and the behavior of this disease in the future. To obtain the result of basic reproduction ration, Crump-Mode-Jagers process with embedding BGW branching process in some process. From the analysis and the simulation of the model were obtained , if 𝑅0 < 1 then the epidemic is extinct and if 𝑅0 ≥ 1 the epidemic is occurred. To illustrate the model simulation were carried out using Maple software. The model simulation give the same result with the analysis.

Copyrights © 2016






Journal Info

Abbrev

ujm

Publisher

Subject

Mathematics

Description

Unnes Journal of Mathematics (UJM) publishes research issues on mathematics and its apllication. The UJM processes manuscripts resulted from a research in mathematics and its application scope, which includes. The scopes include research in: 1. Algebra 2. Analysis 3. Discrete Mathematics and Graph ...