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Mathematical modelling and analysis of the spread of aids caused by coinfection of HIV with TB

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Author(s): Raghaw Shukla | Vivek Kumar

Journal: International Journal of Systems Biology
ISSN 0975-2900

Volume: 1;
Issue: 2;
Start page: 01;
Date: 2009;
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ABSTRACT
A combined SIS-SIRS model with migration for the spread of AIDS caused in co- infectioninvolving TB and HIV is proposed in this manuscript. In mathematical modeling, the problem is assumed thatan HIV infected individual intract with TB infected person (the former to have HIV & TB). It was assumedfurther that a fraction of this HIV class becomes AIDS patients. It is also considered that a certain fraction ofTB interced person form a reservoir class, a part of which may recover and becomes susceptible again. Themodel is analysed by using stability theory of differential equation. It was found that AIDS epidemic spreadfaster due to co- infection of HIV with T.B.
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