title: Influence of human behavior on cholera dynamics.
abstract: This paper is devoted to studying the impact of human behavior on cholera infection. We start with a cholera ordinary differential equation (ODE) model that incorporates human behavior via modeling disease prevalence dependent contact rates for direct and indirect transmissions and infectious host shedding. Local and global dynamics of the model are analyzed with respect to the basic reproduction number. We then extend the ODE model to a reaction-convection-diffusion partial differential equation (PDE) model that accounts for the movement of both human hosts and bacteria. Particularly, we investigate the cholera spreading speed by analyzing the traveling wave solutions of the PDE model, and disease threshold dynamics by numerically evaluating the basic reproduction number of the PDE model. Our results show that human behavior can reduce (a) the endemic and epidemic levels, (b) cholera spreading speeds and (c) the risk of infection (characterized by the basic reproduction number).
authors.affiliation: Department of Mathematics, Washington State University, Pullman, WA 99164, United States. Electronic address: xueying@math.wsu.edu.
authors.forename: Xueying
authors.initials: X
authors.lastname: Wang
authors.affiliation: Francis I. Proctor Foundation, University of California, San Francisco, San Francisco, CA 94143, United States. Electronic address: daozhou.gao@ucsf.edu.
authors.forename: Daozhou
authors.initials: D
authors.lastname: Gao
authors.affiliation: Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, United States. Electronic address: jin-wang02@utc.edu.
authors.forename: Jin
authors.initials: J
authors.lastname: Wang
mesh_terms: D050936:Basic Reproduction Number; D002771:Cholera / Q000453:epidemiology* / Q000523:psychology / Q000635:transmission; D058872:Epidemics; D006801:Humans; D055641:Mathematical Concepts; D008954:Models, Biological; D015995:Prevalence; D012309:Risk-Taking
keywords: Basic reproduction number; Cholera; Disease threshold dynamics; Global stability; Human behavior; Traveling wave speeds