Disease persistence in epidemiological models: The interplay between vaccination and migration

Jackson Burton, Lora Billings, Derek A.T. Cummings, Ira B. Schwartz

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

We consider the interplay of vaccination and migration rates on disease persistence in epidemiological systems. We show that short-term and long-term migration can inhibit disease persistence. As a result, we show how migration changes how vaccination rates should be chosen to maintain herd immunity. In a system of coupled SIR models, we analyze how disease eradication depends explicitly on vaccine distribution and migration connectivity. The analysis suggests potentially novel vaccination policies that underscore the importance of optimal placement of finite resources.

Original languageEnglish
Pages (from-to)91-96
Number of pages6
JournalMathematical Biosciences
Volume239
Issue number1
DOIs
StatePublished - 1 Sep 2012

Keywords

  • Epidemics
  • Herd immunity
  • Migration
  • Vaccination

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