Mathematical Biosciences and Engineering
Volume 3, Issue 3, 2006, Pages 557-566

A note on epidemic models with infective immigrants and vaccination (Review) (Open Access)

Shim E.*
  • a Department of Mathematics and Statistics, Arizona State University, P.O. Box 871804, Tempe, AZ 85287-1804, United States

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.

Author Keywords

SIR Epidemic model Vaccination Fold bifurcation SIS Immigration

Index Keywords

[No Keywords available]
Link
https://www.scopus.com/inward/record.uri?eid=2-s2.0-33846946117&doi=10.3934%2fmbe.2006.3.557&partnerID=40&md5=1f2b5061a85d1fa07b5299de8d7a709e
DOI: 10.3934/mbe.2006.3.557
ISSN: 15471063
Cited by: 16
Original Language: English