Possibility and Causes of Backward Bifurcation in a Cholera Model

Abstract

Backward bifurcation in an epidemiological model is a phenomenon in which the model possesses stable endemic equilibria together with a stable disease-free equilibrium. Till now, this phenomenon has been observed in a number of epidemic models. In this work, we investigate the possibility of backward bifurcation in a cholera model. We also explore the role of various factors, which induce backward bifurcation in other epidemic models. We believe the present work provides an insight of the dynamics of a cholera model and possible causes of backward bifurcation in the same.