Abstract:
Abstract
In this project, a mathematical model for cholera epidemic is presented and analyzed in order to
determine effects of the control measures. The epidemic threshold known as the basic
reproduction number and equilibrium for the models are determined. Basic properties and
stability analysis of the model is carried out. We also considered a situation where the control
measures were introduced simultaneously into the model. The analytical predictions were
confirmed by numerical simulation results. These solutions show the behavior of the population
in time t. We proved that the disease free equilibrium is locally asymptotically stable under
prescribed conditions on the given parameters. Numerical approximations are carried out using
parameter values from published data to investigate the effect of transmission parameters on the
dynamics of the infection. We simulated cases with control and without control strategies.
Generally from this project we understand that Control measures are reduces the rate of the
spread of the disease.