title: Partially mixed household epidemiological model with clustered resistant individuals.
abstract: We study the dynamics of the spread of an infectious disease within a population partitioned into households, and stratified into resistant and nonresistant individuals. Variability in the level of resistance between households increases the initial rate of spread of the infection, as well as the infection level at the endemic equilibrium. This phenomenon is seen even when all individuals in the population are equally likely to be resistant, and can also be predicted by including spatial clustering of resistant individuals within an improved mean-field approximation.
authors.affiliation: Department of Mathematics and Statistics, 333 Neville Hall, University of Maine, Orono, Maine 04469-5752, USA. hiebeler@math.umaine.edu
authors.forename: David E
authors.initials: DE
authors.lastname: Hiebeler
authors.forename: Amanda Keck
authors.initials: AK
authors.lastname: Criner
mesh_terms: D003141:Communicable Diseases / Q000453:epidemiology* / Q000276:immunology*; D004196:Disease Outbreaks / Q000706:statistics & numerical data*; D017753:Ecosystem; D004812:Epidemiologic Methods; D006801:Humans; D007113:Immunity, Innate; D008954:Models, Biological; D015233:Models, Statistical; D011157:Population Dynamics