Figure 1 Diagrammatic representation of the model.
Definition of symbols as used in this study: Susceptible are all the individual in the community. The individuals are either born in the community or immigrated into it at the rate np. Susceptible S becomes infected with cholera at the rate α . Infected I contribute to the population of Vibrio Cholerae at a rate ε , infected people either die from cholera disease or recover at a rate γ . Recovered people become susceptible again, since it
is assumed that no immunity after infection. Chance of catching cholera as result of contact with contaminated food or water and other means is . Since is not human population, total size of the population
is a constant. Adding up the equations of human population αBS/(K+B)