Stationary Distribution and Extinction of a Stochastic Viral Infection Model
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-22
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We present a kind of stochastic viral infection model with or without a loss term in the free virus equation.
We obtain critical condition to ensure the existence of the unique stationary distribution by constructing Lyapunov functions.
We also obtain the sufficient conditions for the extinction of the virus by the comparison theorem of stochastic differential equation and law of large numbers.
We give a unified method to systematically analyze such three-dimensional stochastic viral infection model.
Furthermore, numerical simulations are carried out to examine the effect of white noises on model behavior.
We investigate the fact that the small magnitudes of white noises can sustain the irregular recurrence of healthy target cells and virions, while the big ones may contribute to viral clearance.
American Psychological Association (APA)
Wang, Yan& Jiang, Daqing. 2017. Stationary Distribution and Extinction of a Stochastic Viral Infection Model. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1151609
Modern Language Association (MLA)
Wang, Yan& Jiang, Daqing. Stationary Distribution and Extinction of a Stochastic Viral Infection Model. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-13.
https://search.emarefa.net/detail/BIM-1151609
American Medical Association (AMA)
Wang, Yan& Jiang, Daqing. Stationary Distribution and Extinction of a Stochastic Viral Infection Model. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1151609
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151609