Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 531, Issue 2, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2023.127833
Keywords
Cholera epidemics; Infection age; Complex networks; Global stability; Lyapunov functional
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This paper presents a novel modeling framework to investigate the impact of infection age on cholera transmission. Numerical simulations and sensitivity analysis are used to verify the theoretical results. The study suggests that effective drug treatment and pathogen removal from contaminated water are beneficial in controlling the spread of cholera.
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.(c) 2023 Elsevier Inc. All rights reserved.
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