Modelling of HIV-TB Co-infection Transmission Dynamics

Nita H. Shah^1, and Jyoti Gupta¹

¹Department of Mathematics, Gujarat University, Ahmedabad, Gujarat

Cite this paper:
Nita H. Shah and Jyoti Gupta. Modelling of HIV-TB Co-infection Transmission Dynamics. American Journal of Epidemiology and Infectious Disease. 2014; 2(1):1-7. doi: 10.12691/ajeid-2-1-1

Abstract

In this paper, we have formulated a model for HIV-TB co-infection using differential equations in order to understand the dynamics of disease spread. The model is analysed for all the parameters responsible for the disease spread in order to find the most sensitive parameters out of all. Steady state conditions are derived. A threshold parameter R₀ is defined and is shown that the disease will spread only if its value exceeds 1. Numerical simulation is done for the model using MATLAB which shows the population dynamics in different compartments.

Keywords:
mathematical modelling differential equations numerical simulation HIV/AIDS tuberculosis

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