Mathematical Model for Co-Infection of TB and HIV
Journal Title: JOURNAL OF BIOLOGICAL ENGINEERING RESEARCH AND REVIEW - Year 2018, Vol 5, Issue 1
Abstract
A mathematical model of HIV/AIDS and TB including its co-infections is formulated. Basic reproduction numbersR_0^T, R_0^H, and R_0^HT are computed for sub-models of TB SE_T I_T Q_T RV, HIV/AIDS SE_H I_H 〖A_H Q〗_H RV and co-infection of AIDS and TB SE_HT I_HT 〖A_HT Q〗_HT RV respectively. We have shown that the model is locally and globally asymptotically stable when R_0^T<1, R_0^H<1, and R_0^HT<1 for disease-free equilibrium points. Numerical simulations and sensitivity analysis with real value parameters are carried out. With the help of numerical simulation, we have shown that the sub-models of TB, HIV/AIDS and it’s co-infections is globally stable when R_0^T<1, R_0^H<1, and R_0^HT<1 respectively for endemic equilibrium points. Comparison between quarantined classes of TB, HIV/AIDS and it’s co-infection versus recovered class is carried out.
Authors and Affiliations
Buddhadeo Mahato, Bimal Kumar Mishra, Anurag Jayswal
Keywords
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