Randomness, Boundedness and Stability Analysis of HIV Spread in a Mobile Heterosexual Population

The model of HIV in a mobile heterosexual population with random noise has not been investigated so far. The purpose of this paper is to present the randomness, boundedness and the stability analysis for the spread of HIV in a mobile heterosexual population. The boundedness and equilibrium points of the model have been determined. By the construction of a Lyapunov function, the global stability properties are analyzed. By comparison to stochastic perturbation, the deterministic model is found to be robust. The analysis leads to the equilibrium of the stochastic perturbation wherein the total number of population is varying. Finally, numerical examples are furnished and diagrams are presented which support the findings.