A member of the Vibrionaceae family, Vibrio cholerae is a dangerous bacterium. The human
illness cholera is caused by the bacterium Vibrio cholerae. As a means of understanding the
dynamics of cholera epidemics, we constructed a model. people who are vulnerable, people
who are infectious, humans who have recovered, and the environment that bacteria need to
multiply make up the model. The presence of both the disease-free and endemic equilibrium
points was examined in our study. The jacobian matrix method was used to calculate the
reproduction number. When the reproduction number was smaller than one, it was
discovered that the disease-free equilibrium was locally asymptotically stable. Using sen-
sitivity analysis, we were able to identify the parameter that was most affected by the basic
reproduction number. The epidemic model's system of differential equations was modeled
numerically and compared to the qualitative solutions in order to draw conclusions.
According to the results, the number of vulnerable humans in the system reduces as the
infected population grows.