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 journalArticlepeer-review

10 Scopus citations


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 (US)
Pages (from-to)91-96
Number of pages6
JournalMathematical Biosciences
Issue number1
StatePublished - Sep 2012


  • Epidemics
  • Herd immunity
  • Migration
  • Vaccination

ASJC Scopus subject areas

  • Medicine(all)
  • Immunology and Microbiology(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)
  • Modeling and Simulation
  • Statistics and Probability
  • Applied Mathematics


Dive into the research topics of 'Disease persistence in epidemiological models: The interplay between vaccination and migration'. Together they form a unique fingerprint.

Cite this