title: Modelling cholera in periodic environments.
abstract: We propose a deterministic compartmental model for cholera dynamics in periodic environments. The model incorporates seasonal variation into a general formulation for the incidence (or, force of infection) and the pathogen concentration. The basic reproduction number of the periodic model is derived, based on which a careful analysis is conducted on the epidemic and endemic dynamics of cholera. Several specific examples are presented to demonstrate this general model, and numerical simulation results are used to validate the analytical prediction.
authors: a Department of Mathematics and Statistics , Old Dominion University , Norfolk , VA 23529 , USA.
authors: Drew
authors: D
authors: Posny
authors: Jin
authors: J
authors: Wang
mesh_terms: D050936:Basic Reproduction Number; D002771:Cholera / Q000453:epidemiology*; D060740:Disease Eradication; D006801:Humans; D008954:Models, Biological; D010507:Periodicity