A nonlinear SIR with stability

I. Darti; S. Fitri

doi:10.1063/1.4866546

A nonlinear SIR with stability

Faculty of Mathematics and Natural Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Citations (Scopus)

Abstract

The aim of this work is to develop a mathematical model of a nonlinear susceptible-infectious-removed (SIR) epidemic model with vaccination. We analyze the stability of the model by linearizing the model around the equilibrium point. Then, diphtheria data from East Java province is fitted to the model. From these estimated parameters, we investigate which parameters that play important role in the epidemic model. Some numerical simulations are given to illustrate the analytical results and the behavior of the model.

Original language	English
Title of host publication	Symposium on Biomathematics, Symomath 2013
Editors	Nuning Nuraini, Hidetaka Arimura
Publisher	American Institute of Physics Inc.
Pages	119-122
Number of pages	4
ISBN (Electronic)	9780735412194
DOIs	https://doi.org/10.1063/1.4866546
Publication status	Published - 2014
Event	Symposium on Biomathematics, Symomath 2013 - Bandung, West Java, Indonesia Duration: 27 Oct 2013 → 29 Oct 2013

Publication series

Name	AIP Conference Proceedings
Volume	1587
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	Symposium on Biomathematics, Symomath 2013
Country/Territory	Indonesia
City	Bandung, West Java
Period	27/10/13 → 29/10/13

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

mathematical model
parameter estimation
SIR
stability analysis

Access to Document

10.1063/1.4866546

Cite this

@inproceedings{7b854ecbb1214b42a13ea6cf1067e140,

title = "A nonlinear SIR with stability",

abstract = "The aim of this work is to develop a mathematical model of a nonlinear susceptible-infectious-removed (SIR) epidemic model with vaccination. We analyze the stability of the model by linearizing the model around the equilibrium point. Then, diphtheria data from East Java province is fitted to the model. From these estimated parameters, we investigate which parameters that play important role in the epidemic model. Some numerical simulations are given to illustrate the analytical results and the behavior of the model.",

keywords = "mathematical model, parameter estimation, SIR, stability analysis",

author = "Trisilowati and I. Darti and S. Fitri",

note = "Publisher Copyright: {\textcopyright} 2014 AIP Publishing LLC.; Symposium on Biomathematics, Symomath 2013 ; Conference date: 27-10-2013 Through 29-10-2013",

year = "2014",

doi = "10.1063/1.4866546",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

pages = "119--122",

editor = "Nuning Nuraini and Hidetaka Arimura",

booktitle = "Symposium on Biomathematics, Symomath 2013",

}

TY - GEN

T1 - A nonlinear SIR with stability

AU - Trisilowati,

AU - Darti, I.

AU - Fitri, S.

PY - 2014

Y1 - 2014

N2 - The aim of this work is to develop a mathematical model of a nonlinear susceptible-infectious-removed (SIR) epidemic model with vaccination. We analyze the stability of the model by linearizing the model around the equilibrium point. Then, diphtheria data from East Java province is fitted to the model. From these estimated parameters, we investigate which parameters that play important role in the epidemic model. Some numerical simulations are given to illustrate the analytical results and the behavior of the model.

AB - The aim of this work is to develop a mathematical model of a nonlinear susceptible-infectious-removed (SIR) epidemic model with vaccination. We analyze the stability of the model by linearizing the model around the equilibrium point. Then, diphtheria data from East Java province is fitted to the model. From these estimated parameters, we investigate which parameters that play important role in the epidemic model. Some numerical simulations are given to illustrate the analytical results and the behavior of the model.

KW - mathematical model

KW - parameter estimation

KW - SIR

KW - stability analysis

UR - https://www.scopus.com/pages/publications/84929407085

U2 - 10.1063/1.4866546

DO - 10.1063/1.4866546

M3 - Conference contribution

AN - SCOPUS:84929407085

T3 - AIP Conference Proceedings

SP - 119

EP - 122

BT - Symposium on Biomathematics, Symomath 2013

A2 - Nuraini, Nuning

A2 - Arimura, Hidetaka

PB - American Institute of Physics Inc.

T2 - Symposium on Biomathematics, Symomath 2013

Y2 - 27 October 2013 through 29 October 2013

ER -

A nonlinear SIR with stability

Abstract

Publication series

Conference

UN SDGs

Keywords

Access to Document

Other files and links

Fingerprint

Cite this