Persistence time of SIS infections in heterogeneous populations and networks

Journal of Mathematical Biology
Damian Clancy

Abstract

For a susceptible-infectious-susceptible infection model in a heterogeneous population, we present simple formulae giving the leading-order asymptotic (large population) behaviour of the mean persistence time, from an endemic state to extinction of infection. Our model may be interpreted as describing an infection spreading through either (1) a population with heterogeneity in individuals' susceptibility and/or infectiousness; or (2) a heterogeneous directed network. Using our asymptotic formulae, we show that such heterogeneity can only reduce (to leading order) the mean persistence time compared to a corresponding homogeneous population, and that the greater the degree of heterogeneity, the more quickly infection will die out.

References

Jan 1, 1995·Journal of Mathematical Biology·O A van Herwaarden, J Grasman
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vlad Elgart, Alex Kamenev
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alex Kamenev, Baruch Meerson
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Michael Assaf, Baruch Meerson
Sep 4, 2012·Journal of Mathematical Biology·Damian Clancy, Christopher J Pearce
Sep 1, 2015·Mathematical Biosciences·Damian Clancy
Jul 23, 2016·Physical Review Letters·Jason Hindes, Ira B Schwartz

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Citations

Feb 12, 2020·Disability and Rehabilitation·Marcella CarragherMiranda Rose
Sep 13, 2018·Bulletin of Mathematical Biology·Damian Clancy
Sep 7, 2019·Physical Review Letters·Jason Hindes, Michael Assaf

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