2012/05/21 by Jackson Burton, Burton, Jackson, Lora Billings +5
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Physics and Astronomy · #Biological Physics (physics.bio-ph) #Biology #COVID-19 epidemiological studies #Disease #Epidemiology #Evolution and Genetic Dynamics #FOS: Biological sciences #FOS: Physical sciences #Herd immunity #Immunology #Mathematical and Theoretical Epidemiology and Ecology Models #Medicine #Pathology #Persistence (discontinuity) #Physics #Populations and Evolution (q-bio.PE) #Term (time) #Vaccination #physics.bio-ph #q-bio.PE
paper · pdf · doi:10.48550/arxiv.1205.4703
arxiv created 2012/05/21 · openalex publication_date 2012/05/21 · arxiv updated 2012/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.