Two dynamical models for cholera

Abstract

In this essay the researcher modeled contagious cholera illness by geometrical dynamic methods in two forms, seasonal variables and without seasonal variables. In modeling the illness without seasonal variables geometric points and dynamical results are acquired. Disease free equilibrium of this model is considered. The model which is made by seasonal variables is a complicated model from geometrical point of view. So it is considered numerically. The numerical results are given in six figures and the figures are studied biologically.

Keywords: Cholera; Disease free equilibrium; Mathematical model; Seasonal variable; Stability.