Stability and Numerical Analysis of Malaria- mTB- HIV/AIDS Co-infection

In this paper, we develop a mathematical model to examine the transmission dynamics of curable malaria, curable mTB and non-curable HIV/AIDS and their co-infection. The size of population hasbeen taken as varying due to the emigration of susceptible population. The total population is dividedinto five subclasses as susceptible, malaria infected, mTB infected, HIV infection and AIDS by assuming co-infection among them. The model has two basic parts, qualitative and numerical. In qualitative part, we analyze the transmission dynamics of this co-infection by using equilibrium andstability analysis. In numerical part, the computational simulation is used to transmission flow of disease among various classes. The sensitive analysis is also performed

Keywords:

Transmission Dynamics , Co-Infection , Equilibrium Analysis , Stability Analysis , Numerical Simulation , Emigration