Dynamics of a stochastic multigroup S-DI-A model for the transmission of HIV

DOI10.1080/00036811.2020.1758310zbMath1492.92099OpenAlexW3021987097MaRDI QIDQ5065531

Qun Liu, Daqing Jiang

Publication date: 22 March 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1758310

zbMATH Keywords

ergodicitystationary distributiongeneral incidence ratemultigroup HIV model

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Cites Work

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• Global stability for an HIV/AIDS epidemic model with different latent stages and treatment
• The asymptotic behavior of stochastically perturbed DI SIR epidemic models with saturated incidences
• Analysis of an HIV/AIDS treatment model with a nonlinear incidence
• The differential infectivity and staged progression models for the transmission of HIV
• Almost sure exponential stability of neutral stochastic differential difference equations
• An intuitive formulation for the reproductive number for the spread of diseases in heterogeneous populations
• Stochastic dynamics of HIV models with switching parameters and pulse control
• Dynamical behavior of stochastic multigroup S-DI-A epidemic models for the transmission of HIV
• Environmental Brownian noise suppresses explosions in population dynamics.
• Modeling the impact of random screening and contact tracing in reducing the spread of HIV.
• Asymptotic behavior of a stochastic delayed HIV-1 infection model with nonlinear incidence
• Modelling a stochastic HIV model with logistic target cell growth and nonlinear immune response function
• Stationary distribution of a stochastic staged progression HIV model with imperfect vaccination
• Modelling and stability of HIV/AIDS epidemic model with treatment
• The threshold for a stochastic HIV-1 infection model with Beddington-DeAngelis incidence rate
• Stationary distribution of an HIV model with general nonlinear incidence rate and stochastic perturbations
• The threshold of a stochastic SIRS epidemic model with saturated incidence
• Global stability for a delayed HIV-1 infection model with nonlinear incidence of infection
• A stochastic model for internal HIV dynamics
• Exclusion and persistence in deterministic and stochastic chemostat models
• The long time behavior of DI SIR epidemic model with stochastic perturbation
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Asymptotic Properties of Hybrid Diffusion Systems

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