Extinction and persistence of a stochastic SICA epidemic model with standard incidence rate for HIV transmission

DOI10.1186/s13662-021-03392-yzbMath1494.92154OpenAlexW3163978342MaRDI QIDQ2166994

Yanyan Li

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03392-y

zbMATH Keywords

extinctionstochastic perturbationpersistence in meanSICA epidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Ordinary differential equations and systems with randomness (34F05)

Related Items (3)

Model-free based control of a HIV/AIDS prevention model ⋮ A stochastic SICA model for HIV/AIDS transmission ⋮ Dynamical behavior and density function analysis of a stochastic HIV/AIDS model with general incidence rate

Cites Work

• Unnamed Item
• A TB-HIV/AIDS coinfection model and optimal control treatment
• Dynamics of the deterministic and stochastic SIQS epidemic model with non-linear incidence
• Existence and exponential stability of piecewise mean-square almost periodic solutions for impulsive stochastic Nicholson's blowflies model on time scales
• Optimal harvesting of a stochastic mutualism model with Lévy jumps
• Mathematical analysis of the transmission dynamics of HIV/TB coinfection in the presence of treatment
• Analysis of the deterministic and stochastic SIRS epidemic models with nonlinear incidence
• Threshold of a stochastic SIR epidemic model with Lévy jumps
• A stochastic SICA epidemic model for HIV transmission
• Finite-time nonfragile synchronization of stochastic complex dynamical networks with semi-Markov switching outer coupling
• Dynamic behavior of a stochastic SIQS epidemic model with Lévy jumps
• Almost periodic oscillations for delay impulsive stochastic Nicholson's blowflies timescale model
• Dynamics of a stochastic multi-strain SIS epidemic model driven by Lévy noise
• Dynamics of stochastically perturbed SIS epidemic model with vaccination
• Examination of a simple model of condom usage and individual withdrawal for the HIV epidemic
• Almost periodic solution for a new type of neutral impulsive stochastic Lasota-Wazewska timescale model
• Positivity property of second-order flux-splitting schemes for the compressible Euler equations
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• A Stochastic Differential Equation SIS Epidemic Model
• A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters
• The threshold of a stochastic SIQS epidemic model

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