Literature DB >> 28951546

Dynamics of hybrid switching DS-I-A epidemic model.

Songnan Liu1, Daqing Jiang2,3, Xiaojie Xu4, Tasawar Hayat5,6, Bashir Ahmad5.   

Abstract

In this paper, we investigate a stochastic hybrid switching DS-I-A epidemic model. The extinction and the prevalence of the disease are discussed, and so, the threshold is given. Furthermore, the sufficient conditions for the existence of positive recurrence of the solutions are established by stochastic Lyapunov functions. At last, some examples and simulations are provided to illustrate our results.

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Year:  2017        PMID: 28951546      PMCID: PMC5615109          DOI: 10.1038/s41598-017-11901-x

Source DB:  PubMed          Journal:  Sci Rep        ISSN: 2045-2322            Impact factor:   4.379


  13 in total

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Authors:  T R O'Brien; W A Blattner; D Waters; E Eyster; M W Hilgartner; A R Cohen; N Luban; A Hatzakis; L M Aledort; P S Rosenberg; W J Miley; B L Kroner; J J Goedert
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3.  Acute primary HIV infection.

Authors:  T C Quinn
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4.  High levels of HIV-1 in plasma during all stages of infection determined by competitive PCR.

Authors:  M Piatak; M S Saag; L C Yang; S J Clark; J C Kappes; K C Luk; B H Hahn; G M Shaw; J D Lifson
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5.  Variable infectiousness in HIV transmission models.

Authors:  S P Blythe; R M Anderson
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6.  Patterns of virus burden and T cell phenotype are established early and are correlated with the rate of disease progression in human immunodeficiency virus type 1-infected persons.

Authors:  M T Wong; M J Dolan; E Kozlow; R Doe; G P Melcher; D S Burke; R N Boswell; M Vahey
Journal:  J Infect Dis       Date:  1996-04       Impact factor: 5.226

7.  Virologic characterization of primary human immunodeficiency virus type 1 infection in a health care worker following needlestick injury.

Authors:  R D Pratt; J F Shapiro; N McKinney; S Kwok; S A Spector
Journal:  J Infect Dis       Date:  1995-09       Impact factor: 5.226

8.  A preliminary study of the transmission dynamics of the human immunodeficiency virus (HIV), the causative agent of AIDS.

Authors:  R M Anderson; G F Medley; R M May; A M Johnson
Journal:  IMA J Math Appl Med Biol       Date:  1986

9.  Natural history of HIV-1 cell-free viremia.

Authors:  D R Henrard; J F Phillips; L R Muenz; W A Blattner; D Wiesner; M E Eyster; J J Goedert
Journal:  JAMA       Date:  1995-08-16       Impact factor: 56.272

10.  The Evolutionary Dynamics of Stochastic Epidemic Model with Nonlinear Incidence Rate.

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Journal:  Bull Math Biol       Date:  2015-09-14       Impact factor: 1.758

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