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Title: A stochastic SICA epidemic model for HIV transmission
Author: Djordjevic, Jasmina
Silva, Cristiana J.
Torres, Delfim F. M.
Keywords: SICA epidemic model
HIV infection
Stochastic differential equations
Brownian motion
Extinction and persistence
Issue Date: 3-May-2018
Publisher: Elsevier
Abstract: We propose a stochastic SICA epidemic model for HIV transmission, described by stochastic ordinary differential equations, and discuss its perturbation by environmental white noise. Existence and uniqueness of the global positive solution to the stochastic HIV system is proven, and conditions under which extinction and persistence in mean hold, are given. The theoretical results are illustrated via numerical simulations.
Peer review: yes
DOI: 10.1016/j.aml.2018.05.005
ISSN: 0893-9659
Publisher Version:
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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