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The extinction and persistence of a stochastic SIR model

By Chunyan Ji and Daqing Jiang

Abstract

Abstract The objective of this paper is to explore the long time behavior of a stochastic SIR model. We establish a threshold condition called the basic reproduction number under stochastic perturbation for persistence or extinction of the disease. Especially, some numerical simulations are applied to support our theoretical results. MSC: 49K15, 60H10, 93E15

Topics: a stochastic SIR model, extinction, persistence, threshold, basic reproduction number
Publisher: BioMed Central Ltd.
Year: 2017
OAI identifier: oai:biomedcentral.com:s13662-016-1068-z
Provided by: Springer OAI
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