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

Farai Nyabadza, Simon Mukwembi, Bernardo Gabriel Rodrigues

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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 languageEnglish
Pages (from-to)1995-2000
Number of pages6
JournalPhysica A: Statistical Mechanics and its Applications
Issue number10
Publication statusPublished - 15 May 2009
Externally publishedYes


  • Contacts
  • Graph
  • States
  • Transition
  • Tuberculosis

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics


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