Modelling the effect of hospitalization in tuberculosis spread

G. M. Simorangkir; D. Aldila; H. Tasman

doi:10.1063/5.0023441

Modelling the effect of hospitalization in tuberculosis spread

G. M. Simorangkir
, D. Aldila
, H. Tasman

Department of Mathematics

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

6 Citations (Scopus)

Abstract

A tuberculosis model involving hospitalization was discussed in this paper along with a fast and slow infection phenomenon. Medical treatment in the hospital was assumed to perfectly protect infected individuals in infecting susceptible individuals. Basic analysis regarding the existence and local stability of the equilibrium state was conducted and showed how it is related to the basic reproduction number. We found that whenever the endemic equilibrium exists, then it will be stable and the disease-free equilibrium will be unstable. Numerical simulations were given to support our theoretical results and to give a better interpretation.

Original language	English
Title of host publication	Symposium on Biomathematics 2019, SYMOMATH 2019
Editors	Mochamad Apri, Vitalii Akimenko
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735420243
DOIs	https://doi.org/10.1063/5.0023441
Publication status	Published - 22 Sept 2020
Event	Symposium on Biomathematics 2019, SYMOMATH 2019 - Bali, Indonesia Duration: 25 Aug 2019 → 28 Aug 2019

Publication series

Name	AIP Conference Proceedings
Volume	2264
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	Symposium on Biomathematics 2019, SYMOMATH 2019
Country/Territory	Indonesia
City	Bali
Period	25/08/19 → 28/08/19

UN SDGs

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

SDG 3 Good Health and Well-being

Access to Document

10.1063/5.0023441

Cite this

@inproceedings{319fff80d5be41a7a2887237a240efee,

title = "Modelling the effect of hospitalization in tuberculosis spread",

abstract = "A tuberculosis model involving hospitalization was discussed in this paper along with a fast and slow infection phenomenon. Medical treatment in the hospital was assumed to perfectly protect infected individuals in infecting susceptible individuals. Basic analysis regarding the existence and local stability of the equilibrium state was conducted and showed how it is related to the basic reproduction number. We found that whenever the endemic equilibrium exists, then it will be stable and the disease-free equilibrium will be unstable. Numerical simulations were given to support our theoretical results and to give a better interpretation.",

author = "Simorangkir, \{G. M.\} and D. Aldila and H. Tasman",

note = "Publisher Copyright: {\textcopyright} 2020 American Institute of Physics Inc.. All rights reserved.; Symposium on Biomathematics 2019, SYMOMATH 2019 ; Conference date: 25-08-2019 Through 28-08-2019",

year = "2020",

month = sep,

day = "22",

doi = "10.1063/5.0023441",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Mochamad Apri and Vitalii Akimenko",

booktitle = "Symposium on Biomathematics 2019, SYMOMATH 2019",

address = "United States",

}

Simorangkir, GM, Aldila, D & Tasman, H 2020, Modelling the effect of hospitalization in tuberculosis spread. in M Apri & V Akimenko (eds), Symposium on Biomathematics 2019, SYMOMATH 2019., 020006, AIP Conference Proceedings, vol. 2264, American Institute of Physics Inc., Symposium on Biomathematics 2019, SYMOMATH 2019, Bali, Indonesia, 25/08/19. https://doi.org/10.1063/5.0023441

Modelling the effect of hospitalization in tuberculosis spread. / Simorangkir, G. M.; Aldila, D.; Tasman, H.
Symposium on Biomathematics 2019, SYMOMATH 2019. ed. / Mochamad Apri; Vitalii Akimenko. American Institute of Physics Inc., 2020. 020006 (AIP Conference Proceedings; Vol. 2264).

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

TY - GEN

T1 - Modelling the effect of hospitalization in tuberculosis spread

AU - Simorangkir, G. M.

AU - Aldila, D.

AU - Tasman, H.

PY - 2020/9/22

Y1 - 2020/9/22

N2 - A tuberculosis model involving hospitalization was discussed in this paper along with a fast and slow infection phenomenon. Medical treatment in the hospital was assumed to perfectly protect infected individuals in infecting susceptible individuals. Basic analysis regarding the existence and local stability of the equilibrium state was conducted and showed how it is related to the basic reproduction number. We found that whenever the endemic equilibrium exists, then it will be stable and the disease-free equilibrium will be unstable. Numerical simulations were given to support our theoretical results and to give a better interpretation.

AB - A tuberculosis model involving hospitalization was discussed in this paper along with a fast and slow infection phenomenon. Medical treatment in the hospital was assumed to perfectly protect infected individuals in infecting susceptible individuals. Basic analysis regarding the existence and local stability of the equilibrium state was conducted and showed how it is related to the basic reproduction number. We found that whenever the endemic equilibrium exists, then it will be stable and the disease-free equilibrium will be unstable. Numerical simulations were given to support our theoretical results and to give a better interpretation.

UR - https://www.scopus.com/pages/publications/85092564136

U2 - 10.1063/5.0023441

DO - 10.1063/5.0023441

M3 - Conference contribution

AN - SCOPUS:85092564136

T3 - AIP Conference Proceedings

BT - Symposium on Biomathematics 2019, SYMOMATH 2019

A2 - Apri, Mochamad

A2 - Akimenko, Vitalii

PB - American Institute of Physics Inc.

T2 - Symposium on Biomathematics 2019, SYMOMATH 2019

Y2 - 25 August 2019 through 28 August 2019

ER -

Modelling the effect of hospitalization in tuberculosis spread

Abstract

Publication series

Conference

UN SDGs

Access to Document

Other files and links

Fingerprint

Cite this