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Modeling TB-HIV Syndemic and Treatment

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  • Cristiana J. Silva
  • Delfim F. M. Torres

Abstract

Tuberculosis (TB) and human immunodeficiency virus (HIV) can be considered a deadly human syndemic. In this paper, we formulate a model for TB and HIV transmission dynamics. The model considers both TB and acquired immune deficiency syndrome (AIDS) treatment for individuals with only one of the two infectious diseases or both. The basic reproduction number and equilibrium points are determined and stability is analyzed. Through simulations, we show that TB treatment for individuals with only TB infection reduces the number of individuals that become coinfected with TB and HIV/AIDS and reduces the diseases (TB and AIDS) induced deaths. Analogously, the treatment of individuals with only AIDS also reduces the number of coinfected individuals. Further, TB treatment for coinfected individuals in the active and latent stage of TB disease implies a decrease of the number of individuals that passes from HIV-positive to AIDS.

Suggested Citation

  • Cristiana J. Silva & Delfim F. M. Torres, 2014. "Modeling TB-HIV Syndemic and Treatment," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-14, July.
    • Handle: RePEc:hin:jnljam:248407
    DOI: 10.1155/2014/248407
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    Cited by:

    1. Xing, Xiaoyun & Xiong, Wanting & Guo, Jinzhong & Wang, Yougui, 2021. "The role of debt in aggregate demand," Finance Research Letters, Elsevier, vol. 39(C).
    2. Xu, Changjin & Liu, Zixin & Pang, Yicheng & Akgül, Ali & Baleanu, Dumitru, 2022. "Dynamics of HIV-TB coinfection model using classical and Caputo piecewise operator: A dynamic approach with real data from South-East Asia, European and American regions," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).

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