Ergodic property, extinction and density function of a stochastic SIR epidemic model with nonlinear incidence and general stochastic perturbations

DOI10.1016/j.chaos.2021.111338zbMath1498.92287OpenAlexW3196808795WikidataQ114198949 ScholiaQ114198949MaRDI QIDQ2169625

Baoquan Zhou, Daqing Jiang, Bingtao Han

Publication date: 29 August 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2021.111338

zbMATH Keywords

extinctiondensity functionstochastic SIR epidemic modelnonlinear incidence rateergodic stationary distributiongeneral stochastic perturbation

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of stochastic analysis (to PDEs, etc.) (60H30) Fokker-Planck equations (35Q84)

Related Items

A stochastic analysis of a SIQR epidemic model with short and long-term prophylaxis, New method to obtain the acute sill of an ecological model with complex polynomial perturbation, Stationary distribution and extinction of a stochastic HLIV model with viral production and Ornstein-Uhlenbeck process, Stationary distribution and probability density for a stochastic SISP respiratory disease model with Ornstein-Uhlenbeck process, An optimal control approach for public health interventions on an epidemic-viral model in deterministic and stochastic environments, Analysis of stochastic SIRC model with cross immunity based on Ornstein-Uhlenbeck process, Virus infection model under nonlinear perturbation: ergodic stationary distribution and extinction

Cites Work

• Unnamed Item
• Long-time behavior of a stochastic SIR model
• The threshold of a stochastic SIS epidemic model with vaccination
• A stochastic epidemic model incorporating media coverage
• The threshold of stochastic SIS epidemic model with saturated incidence rate
• On pulse vaccine strategy in a periodic stochastic SIR epidemic model
• A stochastic SIRS epidemic model with infectious force under intervention strategies
• Effects of predation on host-pathogen dynamics in SIR models
• The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence
• Noise-induced transitions. Theory and applications in physics, chemistry, and biology
• Global stability of an SIR epidemic model with constant infectious period
• Handbook of stochastic methods for physics, chemistry and the natural sciences
• A comparison theorem for solutions of stochastic differential equations and its applications
• A generalization of the Kermack-McKendrick deterministic epidemic model
• Almost sure exponential stability of neutral stochastic differential difference equations
• The threshold of a stochastic delayed SIR epidemic model with vaccination
• Stability analysis of stochastic delay differential equations with Lévy noise
• Viral dynamics of an HIV model with latent infection incorporating antiretroviral therapy
• Threshold behaviour of a stochastic SIR model
• Global threshold dynamics of a stochastic epidemic model incorporating media coverage
• A stochastic SIRS epidemic model with nonlinear incidence rate
• Periodic solution and stationary distribution of stochastic predator-prey models with higher-order perturbation
• The extinction and persistence of the stochastic hepatitis B epidemic model
• Environmental Brownian noise suppresses explosions in population dynamics.
• Role of the noise on the transient dynamics of an ecosystem of interacting species
• Dynamics of positive solutions to SIR and SEIR epidemic models with saturated incidence rates
• The fluctuation impact of human mobility on the influenza transmission
• Dynamics of an avian influenza model with half-saturated incidence
• Extinction and stationary distribution of a competition system with distributed delays and higher order coupled noises
• Analysis of a stochastic distributed delay epidemic model with relapse and Gamma distribution kernel
• Dynamics and density function analysis of a stochastic SVI epidemic model with half saturated incidence rate
• A stochastic differential equation SIS epidemic model incorporating Ornstein-Uhlenbeck process
• Stationary distribution of a regime-switching predator-prey model with anti-predator behaviour and higher-order perturbations
• Stationary distribution of an HIV model with general nonlinear incidence rate and stochastic perturbations
• Environmental variability in a stochastic epidemic model
• Stationary distribution and extinction of a stochastic SIR model with nonlinear perturbation
• The Mathematics of Infectious Diseases
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Effects of Lévy noise on the dynamics of sine-Gordon solitons in long Josephson junctions
• An Asymptotic Solution to a Two-Dimensional Exit Problem Arising in Population Dynamics
• VOLATILITY EFFECTS ON THE ESCAPE TIME IN FINANCIAL MARKET MODELS
• Threshold behavior in a stochastic HTLV‐I infection model with CTL immune response and regime switching
• Global behaviour of an SIR epidemic model with time delay