title: Extending the type reproduction number to infectious disease control targeting contacts between types.
abstract: A new quantity called the target reproduction number is defined to measure control strategies for infectious diseases with multiple host types such as waterborne, vector-borne and zoonotic diseases. The target reproduction number includes as a special case and extends the type reproduction number to allow disease control targeting contacts between types. Relationships among the basic, type and target reproduction numbers are established. Examples of infectious disease models from the literature are given to illustrate the use of the target reproduction number.
authors.affiliation: Department of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 3R4, Canada, zshuai@uvic.ca.
authors.forename: Zhisheng
authors.initials: Z
authors.lastname: Shuai
authors.forename: J A P
authors.initials: JA
authors.lastname: Heesterbeek
authors.forename: P
authors.initials: P
authors.lastname: van den Driessche
mesh_terms: D050936:Basic Reproduction Number; D003141:Communicable Diseases / Q000453:epidemiology / Q000276:immunology* / Q000635:transmission; D004196:Disease Outbreaks / Q000517:prevention & control*; D006801:Humans; D018448:Models, Immunological