Limiting the spread of disease through altered migration patterns

Journal of Theoretical Biology
R McVinishA Shausan

Abstract

We consider a model for an epidemic in a population that occupies geographically distinct locations. The disease is spread within subpopulations by contacts between infective and susceptible individuals, and is spread between subpopulations by the migration of infected individuals. We show how susceptible individuals can act collectively to limit the spread of disease during the initial phase of an epidemic by specifying the distribution that minimises the growth rate of the epidemic when the infectives are migrating so as to maximise the growth rate. We also give an explicit strategy that minimises the basic reproduction number, which is also shown be optimal in terms of the probability of extinction and total size of the epidemic.

References

Jan 1, 1988·Neuroscience and Biobehavioral Reviews·B L Hart
Oct 22, 2002·Mathematical Biosciences·P van den Driessche, James Watmough
Feb 24, 2007·Bulletin of Mathematical Biology·Ying-Hen HsiehLin Wang
Jul 5, 2007·Journal of the Royal Society, Interface·Florence DébarreRoland R Regoes
Mar 28, 2009·Journal of the Royal Society, Interface·Robert E RowthornChristopher A Gilligan
Nov 7, 2009·Journal of the Royal Society, Interface·O DiekmannM G Roberts
Nov 11, 2009·Journal of Theoretical Biology·Martial L Ndeffo Mbah, Christopher A Gilligan
Oct 1, 1997·Trends in Ecology & Evolution·B Grenfell, J Harwood
Aug 10, 2011·Proceedings of the National Academy of Sciences of the United States of America·Petra KlepacBryan T Grenfell
Sep 21, 2011·PloS One·Martial L Ndeffo Mbah, Christopher A Gilligan
Dec 12, 2012·The Journal of Experimental Biology·Shelley Anne Adamo
May 15, 2013·Bulletin of Mathematical Biology·Glenn E Lahodny, Linda J S Allen
Jan 1, 2012·SIAM Journal on Applied Mathematics·Daozhou Gao, Shigui Ruan
Dec 11, 2013·Journal of Theoretical Biology·Emmanuel A MpolyaAkira Sasaki

❮ Previous
Next ❯

Citations

Nov 12, 2017·Trends in Parasitology·Susanne H SokolowGiulio A De Leo

❮ Previous
Next ❯

Related Concepts

Related Feeds

Cell Migration

Cell migration is involved in a variety of physiological and pathological processes such as embryonic development, cancer metastasis, blood vessel formation and remoulding, tissue regeneration, immune surveillance and inflammation. Here is the latest research.