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A tuberculosis model: The case of ‘reasonable’ and ‘unreasonable’ infectives

Author

Listed:
  • Nyabadza, Farai
  • Mukwembi, Simon
  • Rodrigues, Bernardo Gabriel

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=1−1n, 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.

Suggested Citation

  • Nyabadza, Farai & Mukwembi, Simon & Rodrigues, Bernardo Gabriel, 2009. "A tuberculosis model: The case of ‘reasonable’ and ‘unreasonable’ infectives," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(10), pages 1995-2000.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:10:p:1995-2000
    DOI: 10.1016/j.physa.2009.01.039
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    Cited by:

    1. Wu, Qingchu & Liu, Huaxiang & Small, Michael, 2013. "Dynamical diversity induced by individual responsive immunization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(12), pages 2792-2802.
    2. Nyabadza, F. & Mukwembi, S. & Rodrigues, B.G., 2011. "A graph theoretical perspective of a drug abuse epidemic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(10), pages 1723-1732.

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