Mathematical model for transmission of tuberculosis in badger population with vaccination

Tasmi; Dipo Aldila; E. Soewono; N. Nuraini

doi:10.1063/1.4945079

Mathematical model for transmission of tuberculosis in badger population with vaccination

Tasmi
, Dipo Aldila
, E. Soewono
, N. Nuraini

Department of Mathematics

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

2 Citations (Scopus)

Abstract

Badger was first time identified as a carrier of Bovine tuberculosis disease in England since 30 years ago. Bovine tuberculosis can be transmitted to another species through the faces, saliva, and breath. The control of tuberculosis in the badger is necessary to reduce the spread of the disease to other species. Many actions have been taken by the government to tackle the disease such as culling badgers with cyanide gas, but this way destroys the natural balance and disrupts the badger population. An alternative way to eliminate tuberculosis within badger population is by vaccination. Here in this paper a model for transmission of badger tuberculosis with vaccination is discussed. The existence of the endemic equilibrium, the stability and the basic reproduction ratio are shown analytically. Numerical simulations show that with proper vaccination level, the basic reproduction ratio could be reduced significantly. Sensitivity analysis for variation of parameters are shown numerically.

Original language	English
Title of host publication	Symposium on Biomathematics, SYMOMATH 2015
Editors	Mochamad Apri, Yasuhiro Takeuchi
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735413702
DOIs	https://doi.org/10.1063/1.4945079
Publication status	Published - 6 Apr 2016
Event	Symposium on Biomathematics, SYMOMATH 2015 - Bandung, Indonesia Duration: 4 Nov 2015 → 6 Nov 2015

Publication series

Name	AIP Conference Proceedings
Volume	1723
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	Symposium on Biomathematics, SYMOMATH 2015
Country/Territory	Indonesia
City	Bandung
Period	4/11/15 → 6/11/15

UN SDGs

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

SDG 3 Good Health and Well-being

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10.1063/1.4945079

Cite this

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title = "Mathematical model for transmission of tuberculosis in badger population with vaccination",

abstract = "Badger was first time identified as a carrier of Bovine tuberculosis disease in England since 30 years ago. Bovine tuberculosis can be transmitted to another species through the faces, saliva, and breath. The control of tuberculosis in the badger is necessary to reduce the spread of the disease to other species. Many actions have been taken by the government to tackle the disease such as culling badgers with cyanide gas, but this way destroys the natural balance and disrupts the badger population. An alternative way to eliminate tuberculosis within badger population is by vaccination. Here in this paper a model for transmission of badger tuberculosis with vaccination is discussed. The existence of the endemic equilibrium, the stability and the basic reproduction ratio are shown analytically. Numerical simulations show that with proper vaccination level, the basic reproduction ratio could be reduced significantly. Sensitivity analysis for variation of parameters are shown numerically.",

author = "Tasmi and Dipo Aldila and E. Soewono and N. Nuraini",

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Tasmi, , Aldila, D, Soewono, E & Nuraini, N 2016, Mathematical model for transmission of tuberculosis in badger population with vaccination. in M Apri & Y Takeuchi (eds), Symposium on Biomathematics, SYMOMATH 2015., 030021, AIP Conference Proceedings, vol. 1723, American Institute of Physics Inc., Symposium on Biomathematics, SYMOMATH 2015, Bandung, Indonesia, 4/11/15. https://doi.org/10.1063/1.4945079

Mathematical model for transmission of tuberculosis in badger population with vaccination. / Tasmi, ; Aldila, Dipo; Soewono, E. et al.
Symposium on Biomathematics, SYMOMATH 2015. ed. / Mochamad Apri; Yasuhiro Takeuchi. American Institute of Physics Inc., 2016. 030021 (AIP Conference Proceedings; Vol. 1723).

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

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AU - Tasmi,

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AU - Nuraini, N.

PY - 2016/4/6

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N2 - Badger was first time identified as a carrier of Bovine tuberculosis disease in England since 30 years ago. Bovine tuberculosis can be transmitted to another species through the faces, saliva, and breath. The control of tuberculosis in the badger is necessary to reduce the spread of the disease to other species. Many actions have been taken by the government to tackle the disease such as culling badgers with cyanide gas, but this way destroys the natural balance and disrupts the badger population. An alternative way to eliminate tuberculosis within badger population is by vaccination. Here in this paper a model for transmission of badger tuberculosis with vaccination is discussed. The existence of the endemic equilibrium, the stability and the basic reproduction ratio are shown analytically. Numerical simulations show that with proper vaccination level, the basic reproduction ratio could be reduced significantly. Sensitivity analysis for variation of parameters are shown numerically.

AB - Badger was first time identified as a carrier of Bovine tuberculosis disease in England since 30 years ago. Bovine tuberculosis can be transmitted to another species through the faces, saliva, and breath. The control of tuberculosis in the badger is necessary to reduce the spread of the disease to other species. Many actions have been taken by the government to tackle the disease such as culling badgers with cyanide gas, but this way destroys the natural balance and disrupts the badger population. An alternative way to eliminate tuberculosis within badger population is by vaccination. Here in this paper a model for transmission of badger tuberculosis with vaccination is discussed. The existence of the endemic equilibrium, the stability and the basic reproduction ratio are shown analytically. Numerical simulations show that with proper vaccination level, the basic reproduction ratio could be reduced significantly. Sensitivity analysis for variation of parameters are shown numerically.

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BT - Symposium on Biomathematics, SYMOMATH 2015

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T2 - Symposium on Biomathematics, SYMOMATH 2015

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Mathematical model for transmission of tuberculosis in badger population with vaccination

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