A tuberculosis model: The case of 'reasonable' and 'unreasonable' infectives

Farai Nyabadza; Simon Mukwembi; Bernardo Gabriel Rodrigues

doi:10.1016/j.physa.2009.01.039

A tuberculosis model: The case of 'reasonable' and 'unreasonable' infectives

Farai Nyabadza, Simon Mukwembi, Bernardo Gabriel Rodrigues

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

Epidemics such as tuberculosis (TB), can be represented by a finite number of states and transition rules that govern the spread of the disease in each discrete time step. This paper uses a graph theoretic approach to investigate TB interactions in a community where infectives are categorized. A threshold value, α = 1 - frac(1, n), for 'reasonable' infectives is proposed. The results show that an epidemic will not ensue as long as the threshold is surpassed. Simulations presented show that unreasonable infectives can amplify the epidemic.

Original language	English
Pages (from-to)	1995-2000
Number of pages	6
Journal	Physica A: Statistical Mechanics and its Applications
Volume	388
Issue number	10
DOIs	https://doi.org/10.1016/j.physa.2009.01.039
Publication status	Published - 15 May 2009
Externally published	Yes

Keywords

Contacts
Graph
States
Transition
Tuberculosis

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

UN SDGs

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

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10.1016/j.physa.2009.01.039

Cite this

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abstract = "Epidemics such as tuberculosis (TB), can be represented by a finite number of states and transition rules that govern the spread of the disease in each discrete time step. This paper uses a graph theoretic approach to investigate TB interactions in a community where infectives are categorized. A threshold value, α = 1 - frac(1, n), for 'reasonable' infectives is proposed. The results show that an epidemic will not ensue as long as the threshold is surpassed. Simulations presented show that unreasonable infectives can amplify the epidemic.",

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AU - Rodrigues, Bernardo Gabriel

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Y1 - 2009/5/15

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AB - Epidemics such as tuberculosis (TB), can be represented by a finite number of states and transition rules that govern the spread of the disease in each discrete time step. This paper uses a graph theoretic approach to investigate TB interactions in a community where infectives are categorized. A threshold value, α = 1 - frac(1, n), for 'reasonable' infectives is proposed. The results show that an epidemic will not ensue as long as the threshold is surpassed. Simulations presented show that unreasonable infectives can amplify the epidemic.

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KW - Transition

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A tuberculosis model: The case of 'reasonable' and 'unreasonable' infectives

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

Access to Document

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