Dynamics of an age-of-infection cholera model.
A new model for the dynamics of cholera is formulated that incorporates both the infection age of infectious individuals and biological age of pathogen in the environment. The basic reproduction number is defined and proved to be a sharp threshold determining whether or not cholera dies out. Final size relations for cholera outbreaks are derived for simplified models when input and death are neglected.
Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada. brauer@math.ubc.ca.
Fred
F
Brauer
Zhisheng
Z
Shuai
P
P
van den Driessche
D000367:Age Factors; D000465:Algorithms; D050936:Basic Reproduction Number; D002771:Cholera / Q000453:epidemiology* / Q000382:microbiology / Q000635:transmission; D003141:Communicable Diseases / Q000453:epidemiology / Q000635:transmission; D004196:Disease Outbreaks; D006801:Humans; D008962:Models, Theoretical; D013997:Time Factors; D014734:Vibrio cholerae / Q000378:metabolism