Dynamical analysis of effects of human behavior on cholera in context to specific strata’s

Abstract

This paper focuses on the dynamics of the mathematical model by considering the effect of human conduct and the role of immunity on cholera contamination. Since, spreading of infection is commonly modeled with the help of classes of the SIR model, the model is formulated as a SIR model inaugurated with one more compartment B which showcases the concentration of bacteria in the polluted water. We have obtained the basic reproductive rate R0 and showcased local stability as well as global stability through geometrical approach. Without infection, equilibrium point (E0 ) is stable locally in conjunction with globally whenever 0 R <1. Similarly, the stability condition for endemic equilibrium E* is 0 R ≥ 1. Hence, our aim is basically to explore the outcome as to how the alertness of mankind can play an effective role in the dynamics of such infections.