Mathematical Models for Cholera Epidemic

Abstract

In this research, new mathematical models for cholera transmission dynamics is developed and analysed. Historical pandemics of the disease, transmission means, global impact of the disease and control mechanisms of cholera disease are briefly discussed. In the first model when there are no delays the temporar- ily removed recovered were assumed to be susceptible. In the second model we assumed that some of the infected population will be quarantined. We have found conditions for which the disease free equilibrium and the endemic equilibrium to be locally stable. We presented some numerical results for the dynamics of the disease for each model.