Analysis of a stochastic HIV-1 infection model with degenerate diffusion
type: Item
instance of: scholarly article
title: Analysis of a stochastic HIV-1 infection model with degenerate diffusion
zbMATH Open document ID: 1428.92106
author: Tao Feng
author: Zhipeng Qiu
author: Libin Rong
author: Xinzhu Meng
published in: Applied Mathematics and Computation
publication date: 2019-11-26T00:00:00Z
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 7136817
zbMATH Keywords: stochastic stability
zbMATH Keywords: HIV-1 infection model
zbMATH Keywords: ergodicity
zbMATH Keywords: polynomial convergence rate
zbMATH Keywords: cell-to-cell spread
zbMATH Keywords: invariant measure
MaRDI profile type: Publication
full work available at URL: j.amc.2018.12.007
OpenAlex ID: W2906574471
cites work: Mathematical analysis of delay differential equation models of HIV-1 infection
cites work: Mathematical Analysis of Age‐Structured HIV‐1 Dynamics with Combination Antiretroviral Therapy
cites work: A new way of investigating the asymptotic behaviour of a stochastic SIS system with multiplicative noise
cites work: Mathematical analysis of a virus dynamics model with general incidence rate and cure rate
cites work: Mathematical analysis of the global dynamics of a model for HIV infection of CD4\(^{+}\) T cells
cites work: Statistical physics of vaccination
cites work: Global analysis of a stochastic TB model with vaccination and treatment
cites work: Global dynamics of deterministic and stochastic epidemic systems with nonmonotone incidence rate
cites work: Global analysis and numerical simulations of a novel stochastic eco-epidemiological model with time delay
cites work: A model for treatment strategy in the chemotherapy of AIDS
cites work: Mathematical Analysis of HIV-1 Dynamics in Vivo
cites work: A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay
cites work: A stochastic model for internal HIV dynamics
cites work: A stochastic vector-borne epidemic model: quasi-stationarity and extinction
cites work: Classification of asymptotic behavior in a stochastic SIR model
cites work: Asymptotic properties of a stochastic SIR epidemic model with Beddington-DeAngelis incidence rate
cites work: Stochastic asymptotic stability of SIR model with variable diffusion rates
cites work: A stochastic SIRS epidemic model with nonlinear incidence rate
cites work: Stochastic stability and instability of an epidemic model with relapse
cites work: Coexistence and exclusion of stochastic competitive Lotka-Volterra models
cites work: The long time behavior of DI SIR epidemic model with stochastic perturbation
cites work: Dynamics analysis and numerical simulations of a stochastic non-autonomous predator-prey system with impulsive effects
cites work: Survival and stationary distribution analysis of a stochastic competitive model of three species in a polluted environment
cites work: Stochastic population dynamics driven by Lévy noise
cites work: The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence
cites work: Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis
cites work: Asymptotic behaviors of a cell-to-cell HIV-1 infection model perturbed by white noise
cites work: Q5429735
cites work: Q4463714
cites work: Polynomial convergence rates of Markov chains
cites work: Markov chains and stochastic stability
cites work: Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations
cites work: Conditions for permanence and ergodicity of certain stochastic predator-prey models
cites work: Portmanteau theorem for unbounded measures
cites work: Q2930843
cites work: Recurrence and invariant measures for degenerate diffusions
cites work: Stability of Markovian processes II: continuous-time processes and sampled chains
cites work: An algorithmic introduction to numerical simulation of stochastic differential equations
Wikidata QID: Q128727927
DOI: 10.1016/J.AMC.2018.12.007
Recommended article: Stochastic Analog of the Dynamic Model of HIV-1 Infection Described by Delay Differential Equations
Recommended article: Mathematical analysis of HIV/AIDS stochastic dynamic models
Recommended article: Analysis of a stochastic HIV model with cell-to-cell transmission and Ornstein–Uhlenbeck process
Recommended article: Asymptotic behavior of a stochastic HIV model with Beddington-DeAngelis functional response
Recommended article: Stationary distribution and extinction of a stochastic HIV-1 model with Beddington-DeAngelis infection rate
Recommended article: Dynamical behavior and density function analysis of a stochastic HIV/AIDS model with general incidence rate
Recommended article: Dynamics of a stochastic HIV-1 infection model with logistic growth
Recommended article: Discrete stochastic model of HIV infection spread within a heterogeneous population
Recommended article: Asymptotic behavior of a stochastic delayed HIV-1 infection model with nonlinear incidence
Recommended article: Stochastic dynamics of an HIV/AIDS epidemic model with treatment
description: scientific article; zbMATH DE number 7136817