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Dynamics of a Stochastic Virus Infection Model with Delayed Immune Response

  • Deshun Sun
  • , Siyuan Chen
  • , Fei Liu*
  • , Jizhuang Fan
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Patients are always affected by external environmental noises and random fluctuations inside bodies. Considering this, in this paper we propose a stochastic virus infection model with delayed immune response, which consists of a system of four-dimensional stochastic delayed equations. We verify that there is a unique global positive solution for this model with any positive initial value, and establish the sufficient conditions for extinction and persistence of the model. Further, we perform a couple of numerical simulations to illustrate our theoretical analysis results.

Original languageEnglish
Title of host publicationIntelligent Computing - 14th International Conference, ICIC 2018, Proceedings
EditorsDe-Shuang Huang, Kang-Hyun Jo, Xiao-Long Zhang
PublisherSpringer Verlag
Pages247-258
Number of pages12
ISBN (Print)9783319959320
DOIs
StatePublished - 2018
Event14th International Conference on Intelligent Computing, ICIC 2018 - Wuhan, China
Duration: 15 Aug 201818 Aug 2018

Publication series

NameLecture Notes in Computer Science
Volume10955 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference14th International Conference on Intelligent Computing, ICIC 2018
Country/TerritoryChina
CityWuhan
Period15/08/1818/08/18

Keywords

  • Extinction, persistence
  • Stochastic delayed model
  • Virus infection

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