Identification the mathematical model of the transmission TB/HIV co-infection in endemic areas

Sergey Kabanikhin, Olga Krivorotko, Victoriya Kashtanova, Varvara Latyshenko
2017 2017 International Multi-Conference on Engineering, Computer and Information Sciences (SIBIRCON)  
In this work we developed and analyzed a mathematical model of HIV/TB co infection. The model is a first order Ordinary Differential Equations, in which the human population is divided into six mutually-exclusive compartments namely; TB-Susceptible individuals (S), TB-Infected individuals (I), TB-Recovered individuals (R), HIV-Infected individuals (P 1 ), Co-Infected individuals (P 2 ) and individuals with AIDS (A). The equilibrium states were obtained and their stabilities were analyzed by
more » ... g Bellman and Cooke's theorem. The result shows that the endemic equilibrium state is stable and the disease free equilibrium state will be stable if ( ) ( ) T T c N a d β µ µ Λ < + + .
doi:10.1109/sibircon.2017.8109841 fatcat:o3clnefmj5ftxoy6vsnd6vgtre