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Stationarity in moment closure and quasi-stationarity of the SIS model

✍ Scribed by José Martins; Alberto Pinto; Nico Stollenwerk


Book ID
116733311
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
469 KB
Volume
236
Category
Article
ISSN
0025-5564

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We formulate and analyse a stochastic version of the Verhulst deterministic model for density-dependent growth of a single population. Three parameter regions with qualitatively di!erent behaviours are identi"ed. Explicit approximations of the quasi-stationary distribution and of the expected time t