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Nurlazuardini, Novia Nilam
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Mathematics

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MODEL EPIDEMI SIRS STOKASTIK DENGANSTUDI KASUS INFLUENZA Nurlazuardini, Novia Nilam; Kharis, Muhammad; Hendikawati, Putriaji
Unnes Journal of Mathematics Vol 5 No 1 (2016)
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/ujm.v5i1.13101

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.
Co-Authors Muhammad Kharis Putriaji Hendikawati