Open AccessThe Stochastic Stability of Internal HIV Models with Gaussian White Noise and Gaussian Colored Noise
Author(s) -
Xiying Wang,
Yuanxiao Li,
Xiaomei Wang
Publication year - 2019
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2019/6951389
Subject(s) - white noise , gaussian noise , colors of noise , additive white gaussian noise , gaussian , statistical physics , noise (video) , stability (learning theory) , mathematics , colored , stochastic resonance , physics , statistics , computer science , algorithm , artificial intelligence , materials science , quantum mechanics , machine learning , composite material , image (mathematics)
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.