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

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

doi:10.1016/j.mbs.2012.05.003

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

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

Bloomberg School of Public Health

Research output: Contribution to journal › Article › peer-review

10 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 language	English (US)
Pages (from-to)	91-96
Number of pages	6
Journal	Mathematical Biosciences
Volume	239
Issue number	1
DOIs	https://doi.org/10.1016/j.mbs.2012.05.003
State	Published - Sep 2012

Keywords

Epidemics
Herd immunity
Migration
Vaccination

ASJC Scopus subject areas

General Medicine
General Immunology and Microbiology
General Biochemistry, Genetics and Molecular Biology
General Agricultural and Biological Sciences
Modeling and Simulation
Statistics and Probability
Applied Mathematics

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10.1016/j.mbs.2012.05.003

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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.",

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AB - 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.

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KW - Herd immunity

KW - Migration

KW - Vaccination

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

Abstract

Keywords

ASJC Scopus subject areas

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