Virus infection model under nonlinear perturbation: ergodic stationary distribution and extinction

DOI10.1016/j.jfranklin.2022.03.035zbMath1504.92159OpenAlexW4224284284WikidataQ114160030 ScholiaQ114160030MaRDI QIDQ2109198

Zhenfeng Shi, Ning-Zhong Shi, Daqing Jiang, Ahmed Alsaedi

Publication date: 20 December 2022

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2022.03.035

zbMATH Keywords

stochastic Lyapunov functionsnonlinear perturbation on virus infection

Mathematics Subject Classification ID

Epidemiology (92D30) Perturbations of ordinary differential equations (34D10)

Related Items

Stochastic modeling of SIS epidemics with logarithmic Ornstein-Uhlenbeck process and generalized nonlinear incidence ⋮ Stationary distribution and probability density for a stochastic SISP respiratory disease model with Ornstein-Uhlenbeck process

Cites Work

• Unnamed Item
• HIV-1 infection and low steady state viral loads
• The threshold of a stochastic SIS epidemic model with vaccination
• Stability analysis in delayed within-host viral dynamics with both viral and cellular infections
• Stochastic models for virus and immune system dynamics
• Extinction and stationary distribution of an impulsive stochastic chemostat model with nonlinear perturbation
• Global properties of a class of HIV models
• A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay
• Mathematical model of immune response to hepatitis B
• Environmental Brownian noise suppresses explosions in population dynamics.
• Global properties of a class of virus infection models with multitarget cells
• Dynamics of an avian influenza model with half-saturated incidence
• The threshold of a deterministic and a stochastic SIQS epidemic model with varying total population size
• Stationary distribution and extinction of a multi-stage HIV model with nonlinear stochastic perturbation
• Ergodic property, extinction and density function of a stochastic SIR epidemic model with nonlinear incidence and general stochastic perturbations
• Asymptotic properties of a stochastic chemostat model with two distributed delays and nonlinear perturbation
• Stochastic model of an influenza epidemic with drug resistance
• Phytoplankton-zooplankton interaction under environmental stochasticity: survival, extinction and stability
• Stationary distribution of an HIV model with general nonlinear incidence rate and stochastic perturbations
• Stationary distribution and extinction of a stochastic SIR model with nonlinear perturbation
• Necessary and sufficient condition for comparison theorem of 1-dimensional stochastic differential equations
• The impact of hospital resources and environmental perturbations to the dynamics of SIRS model
• Virus dynamic behavior of a stochastic HIV/AIDS infection model including two kinds of target cell infections and CTL immune responses
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Global Stability for a Virus Dynamics Model with Nonlinear Incidence of Infection and Removal
• An Asymptotic Solution to a Two-Dimensional Exit Problem Arising in Population Dynamics
• Asymptotic Properties of Hybrid Diffusion Systems
• Virus Dynamics: A Global Analysis
• Threshold behavior in a stochastic HTLV‐I infection model with CTL immune response and regime switching
• Dynamical Analysis of Multipathways and Multidelays of General Virus Dynamics Model
• Bifurcation analysis of a multidelayed HIV model in presence of immune response and understanding of in‐host viral dynamics