Dynamical behavior of a stochastic multigroup staged-progression HIV model with saturated incidence rate and higher-order perturbations

DOI10.1142/S1793524521500510zbMath1478.92207OpenAlexW3152711671MaRDI QIDQ5015308

Qun Liu, Daqing Jiang

Publication date: 7 December 2021

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524521500510

zbMATH Keywords

extinctionstaged progressionsaturated incidence ratestationary distribution and ergodicitymultigroup HIV model

Mathematics Subject Classification ID

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

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Cites Work

• Unnamed Item
• 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
• Stochastic stability of differential equations. With contributions by G. N. Milstein and M. B. Nevelson
• An exact global solution for the classical SIRS epidemic model
• Global dynamics of a class of SEIRS epidemic models in a periodic environment
• A generalization of the Kermack-McKendrick deterministic epidemic model
• The differential infectivity and staged progression models for the transmission of HIV
• A stochastic model for the HIV epidemic in homosexual populations involving age and race
• An intuitive formulation for the reproductive number for the spread of diseases in heterogeneous populations
• Stability analysis of a fractional order model for the HIV/AIDS epidemic in a patchy environment
• 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.
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• Modeling the impact of random screening and contact tracing in reducing the spread of HIV.
• Qualitative analyses of SIS epidemic model with vaccination and varying total population size
• 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 of a stochastic SIRS epidemic model with saturated incidence
• Asymptotic behavior and stability of a stochastic model for AIDS transmission
• Stationary distribution and extinction of a stochastic SIR model with nonlinear perturbation
• A stochastic model for internal HIV dynamics
• Necessary and sufficient condition for comparison theorem of 1-dimensional stochastic differential equations
• The long time behavior of DI SIR epidemic model with stochastic perturbation
• The Mathematics of Infectious Diseases
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Global stability of an SEIS epidemic model with recruitment and a varying total population size