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HIV-TB co-infection: A simple mathematical model
N. Kaur, , S.S. Bhatia
Published in Institute of Advanced Scientific Research, Inc.
2015
Volume: 7
   
Issue: 1
Pages: 66 - 81
Abstract
This paper presents a nonlinear mathematical model to study the transmission dynamics of HIV-TB co-infection. The basic reproduction numbers corresponding to both the HIV and TB are computed and it is shown that the disease free equilibrium is stable only when both the reproduction numbers are less than one. The existence and stability of TB-only and HIV-only equilibria are discussed in-detail. In this work, we observe that the co-infection equilibrium point exists only under some restrictions on the parameters provided both the basic reproduction numbers are greater than one. Importantly, this equilibrium is always unstable. Finally, a detailed numerical simulation is also reported to support and strengthen the major analytical findings. © 2015 Institute of Advanced Scientific Research
About the journal
JournalJournal of Advanced Research in Dynamical and Control Systems
PublisherInstitute of Advanced Scientific Research, Inc.
ISSN1943023X