Disease persistence in epidemiological models: the interplay between vaccination and migration.
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.
Montclair State University, Department of Mathematical Sciences, Montclair, NJ 07043, United States.
Jackson
J
Burton
Lora
L
Billings
Derek A T
DA
Cummings
Ira B
IB
Schwartz
D060740:Disease Eradication / Q000706:statistics & numerical data; D004641:Emigration and Immigration / Q000706:statistics & numerical data*; D004813:Epidemiology / Q000706:statistics & numerical data*; D006801:Humans; D032521:Immunity, Herd; D008457:Measles / Q000453:epidemiology; D008954:Models, Biological; D011157:Population Dynamics; D014611:Vaccination / Q000706:statistics & numerical data*