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The Stochastic Stability of Internal HIV Models with Gaussian White Noise and Gaussian Colored Noise
Joint Authors
Wang, Xiying
Wang, Xiaomei
Li, Yuanxiao
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-19
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this paper, the stochastic stability of internal HIV models driven by Gaussian white noise and Gaussian colored noise is analyzed.
First, the stability of deterministic models is investigated.
By analyzing the characteristic values of endemic equilibrium, we could obtain that internal HIV models reach a steady state under the influence of RTI and PI drugs.
Then we discuss the stochastic stability of internal HIV models driven by Gaussian white noise and Gaussian colored noise, based on probability density functions.
The functional methods are carried out to derive the approximate Fokker-Planck equation of stochastic internal HIV systems and further obtain the marginal probability density functions.
Finally, numerical results show that the noise intensities have a great influence on uninfected cell, infected cell, and virus particles, for predicting the stability of stochastic dynamic systems subjected to Gaussian white noise and Gaussian colored noise.
American Psychological Association (APA)
Wang, Xiying& Li, Yuanxiao& Wang, Xiaomei. 2019. The Stochastic Stability of Internal HIV Models with Gaussian White Noise and Gaussian Colored Noise. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1146515
Modern Language Association (MLA)
Wang, Xiying…[et al.]. The Stochastic Stability of Internal HIV Models with Gaussian White Noise and Gaussian Colored Noise. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1146515
American Medical Association (AMA)
Wang, Xiying& Li, Yuanxiao& Wang, Xiaomei. The Stochastic Stability of Internal HIV Models with Gaussian White Noise and Gaussian Colored Noise. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1146515
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146515