journal-of-interdisciplinary-mathematics Journal of Interdisciplinary Mathematics 2169-012X 0972-0502 Taru Publications 10.47974/JIM-1650 Dynamical analysis of effects of human behavior on cholera in context to specific strata’s Swarup Chetan Department of Basic Science, College of Science and Theoretical Studies, Riyadh-Male Campus, Riyadh 13316, Saudi Electronic University, Saudi Arabia Chauhan Sudipa Amity Institute of Applied Science, Noida 201301, Uttar Pradesh, Amity University, India Chaudhary Amulya Amity Institute of Applied Science, Noida 201301, Uttar Pradesh, Amity University, India Barik Mamta Amity Institute of Applied Science, Noida 201301, Uttar Pradesh, Amity University, India 26 1 95 119 31 01 2023

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 R0

Basic reproduction number Discrete delay Distributive delay Local stability Geometrical approach access open retracted no