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

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• 作者：Jackson Burton ; Lora Billings ; Derek A.T. Cummings ; Ira B. Schwartz
• 关键词：Epidemics ; Migration ; Vaccination ; Herd immunity
• 刊名：Mathematical Biosciences
• 出版年：2012
• 出版时间：September, 2012
• 年：2012
• 卷：239
• 期：1
• 页码：91-96
• 全文大小：368 K

文摘

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.