The purpose of this paper is to describe the effect of the bacterial population due to unplanned urbanization on the human population. In this Model, we have used the system of non-linear differential equations to formulate the problem and we have considered four variables namely; susceptible population, Infected population, unplanned urbanization and the bacterial population. We can find the criteria for the local stability of a system. Furthermore, we have also illustrated the results numerically and graphically.

Mathematical model, Equilibria and Stability, Susceptible and Infected populations, Unplanned urbanization.