Dynamical analysis of an age-structured cholera transmission model on complex networks

Abstract

Cholera is a water- and food-borne infectious disease caused by the bacterium Vibrio cholerae. In this paper, we present a novel modeling framework to investigate the effect of infection age on cholera transmission in a heterogeneous population. Our model is constructed on a system with infection age on complex networks, including both direct and indirect transmission routes and demographics. The basic reproduction number R0 is derived as the spectral radius of the next generation operator, and it is verified that R0 is a sharp threshold that determines whether cholera becomes extinct or not. Numerical simulations are performed to confirm the theoretical results. Furthermore, the sensitivity analysis of the basic reproduction number to the parameters suggests that the implementation of effective drug treatment for infected individuals and the timely removal of pathogens from contaminated water are beneficial to control the spread of cholera.