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

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

18 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
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

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Epidemics
Herd immunity
Migration
Vaccination

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10.1016/j.mbs.2012.05.003

Cite this

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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.

KW - Epidemics

KW - Herd immunity

KW - Migration

KW - Vaccination

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

Abstract

UN SDGs

Keywords

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