title: A note on epidemic models with infective immigrants and vaccination.
abstract: The roles of immigration and vaccination on disease dynamics are explored in a simple setting that considers the possibility of conferred immunity. We focus on SIR and SIS models with a vaccinated class. Conditions for the existence of multiple endemic steady states and a fold bifurcation are discussed.
authors.affiliation: Department of Mathematics and Statistics, Arizona State University, P.O. Box 871804, Tempe, AZ 85287-1804. alicia@mathpost.asu.edu.
authors.forename: Eunha
authors.initials: E
authors.lastname: Shim