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SUMMARY:Stochastic epidemic models with varying infectivity and susceptibi
 lity - Helene Guerin (UQAM - Université du Québec à Montréal)
DTSTART:20240723T130000Z
DTEND:20240723T140000Z
UID:TALK218743@talks.cam.ac.uk
DESCRIPTION:Stochastic epidemic models with varying infectivity and waning
  immunity have been recently introduced. Those models are more realistic t
 han classical SIRS-type models\, but also more difficult to study from a m
 athematical point of view since the underlying process is no more a Markov
  process. I will present results obtained by Forien et al. (2022) on the e
 quilibrium of such a models\, and by Foutel-Rodier et al. (2023) when a va
 ccination policy is taken into account. I also will focus on a new model\,
  introduced in collaboration with&nbsp\; Ars&egrave\;ne Brice Zotsa-Ngoufa
 ck\, using the same framework\, but with memory of past infections: at eac
 h new infection\, the new infectivity and susceptibility depend on their p
 revious values. The main questions related to such models are the long tim
 e behavior of the epidemic\, and the existence of an endemic equilibrium.
LOCATION:Seminar Room 2\, Newton Institute
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