A study of cholera model with environmental fluctuations

The study focuses on randomly fluctuating phenomena of cholera deterministic model by incorporating white noise stochastic perturbation. For the deterministic model, stability of the equilibria and persistent aspects of population are discussed. Variances of population are evaluated for the model system at the endemic equilibrium. We conclude from the study that the inclusion of environmental fluctuation does not change substantially the dynamical behaviour of the system although it induces some initial random oscillations.