Analysis of a stochastic within-host model of dengue infection with immune response and Ornstein-Uhlenbeck process

DOI10.1007/s00332-023-10004-4OpenAlexW4390495581MaRDI QIDQ6185867

Daqing Jiang, Qun Liu

Publication date: 30 January 2024

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-023-10004-4

zbMATH Keywords

probability densityOrnstein-Uhlenbeck processextinctionstationary distributionimmune responsedengue model

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations and systems with randomness (34F05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Long-time behavior of a stochastic SIR model
• Environmental variability and mean-reverting processes
• Vegetation pattern shift as a result of rising atmospheric CO\(_{2}\) in arid ecosystems
• Stochastic eco-epidemiological model of dengue disease transmission by Aedes aegypti mosquito
• Stationary distribution and extinction of a stochastic dengue epidemic model
• Stability of a dengue epidemic model with independent stochastic perturbations
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Dynamical behavior of a stochastic SIQR epidemic model with Ornstein-Uhlenbeck process and standard incidence rate after dimensionality reduction
• A periodic dengue model with diapause effect and control measures
• Threshold dynamics and probability density function of a stochastic avian influenza epidemic model with nonlinear incidence rate and psychological effect
• Global dynamics and asymptotic profiles for a degenerate dengue fever model in heterogeneous environment
• Ergodic stationary distribution of stochastic epidemic model for HBV with double saturated incidence rates and vaccination
• Vaccination and vector control effect on dengue virus transmission dynamics: modelling and simulation
• Stationary distribution and probability density function of a stochastic SIRSI epidemic model with saturation incidence rate and logistic growth
• Stationary distribution of a stochastic within-host dengue infection model with immune response and regime switching
• Lyapunov stability analysis and optimization measures for a dengue disease transmission model
• Threshold behavior in a stochastic algal growth model with stoichiometric constraints and seasonal variation
• Environmental variability in a stochastic epidemic model
• A with-in host dengue infection model with immune response
• Competitive exclusion in a general multi-species chemostat model with stochastic perturbations
• Effects of global warming on pattern dynamics of vegetation: Wuwei in China as a case
• Transmission dynamics of multi-strain dengue virus with cross-immunity
• A stochastic chemostat model with mean-reverting Ornstein-Uhlenbeck process and Monod-Haldane response function
• Personal protective strategies for dengue disease: simulations in two coexisting virus serotypes scenarios
• Virus dynamic behavior of a stochastic HIV/AIDS infection model including two kinds of target cell infections and CTL immune responses
• Threshold dynamics and density function of a stochastic epidemic model with media coverage and mean-reverting Ornstein-Uhlenbeck process
• Sufficient and necessary conditions of near-optimal controls for a diffusion dengue model with Lévy noise
• A stochastic SICA model for HIV/AIDS transmission
• Dynamical behaviors of a stochastic HTLV-I infection model with general infection form and Ornstein-Uhlenbeck process
• A novel mathematical analysis and threshold reinforcement of a stochastic dengue epidemic model with Lévy jumps
• Stationary distribution and extinction of a stochastic HLIV model with viral production and Ornstein-Uhlenbeck process
• Conditions for permanence and ergodicity of certain stochastic predator–prey models
• A strong law of large numbers for local martingales
• Asymptomatic carriers in transmission dynamics of dengue with control interventions
• Analysis of a stochastic HIV model with cell-to-cell transmission and Ornstein–Uhlenbeck process
• A viral co-infection model with general infection rate in deterministic and stochastic environments

This page was built for publication: Analysis of a stochastic within-host model of dengue infection with immune response and Ornstein-Uhlenbeck process