A stochastic SIS epidemic model with saturating contact rate
From MaRDI portal
Publication:2162069
DOI10.1016/j.physa.2019.121504OpenAlexW2946520798MaRDI QIDQ2162069
Youlin Huang, Shuwen Zhang, Chunjin Wei, Guijie Lan
Publication date: 5 August 2022
Published in: Physica A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physa.2019.121504
asymptotic stabilityextinctionstationary solutionstochastic SIS epidemic modelsaturating contact rate
Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Statistical mechanics, structure of matter (82-XX)
Related Items
Dynamics and numerical approximations for a fractional-order SIS epidemic model with saturating contact rate ⋮ Modeling and analysis of SIR epidemic dynamics in immunization and cross-infection environments: Insights from a stochastic model ⋮ Bifurcation analysis of a respiratory disease model about air pollution direct and indirect effects ⋮ Ergodicity of a nonlinear stochastic SIRS epidemic model with regime-switching diffusions ⋮ Permanence and extinction of a stochastic SIS epidemic model with three independent Brownian motions ⋮ Dynamical analysis of a stochastic SIRS epidemic model with saturating contact rate
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Threshold behavior in a stochastic SIS epidemic model with standard incidence
- A stochastic SIRS epidemic model with infectious force under intervention strategies
- A generalization of the Kermack-McKendrick deterministic epidemic model
- Global dynamics of an SEIR epidemic model with saturating contact rate
- Stationary distribution and extinction of a stochastic dengue epidemic model
- Average break-even concentration in a simple chemostat model with telegraph noise
- The effects of toxin-producing phytoplankton and environmental fluctuations on the planktonic blooms
- Dynamical behavior of stochastic multigroup S-DI-A epidemic models for the transmission of HIV
- Dynamics of a nonautonomous stochastic SIS epidemic model with double epidemic hypothesis
- Analysis of a delayed vaccinated SIR epidemic model with temporary immunity and Lévy jumps
- Dynamics of a stochastic regime-switching predator-prey model with harvesting and distributed delays
- Application of stochastic inequalities to global analysis of a nonlinear stochastic SIRS epidemic model with saturated treatment function
- Asymptotic behavior of a regime-switching SIR epidemic model with degenerate diffusion
- Global threshold dynamics of a stochastic epidemic model incorporating media coverage
- Spatiotemporal transmission dynamics for influenza disease in a heterogenous environment
- Stationary distribution and ergodicity of a stochastic hybrid competition model with Lévy jumps
- A stochastic SIRS epidemic model with nonlinear incidence rate
- Stochastic periodic solution of a susceptible-infective epidemic model in a polluted environment under environmental fluctuation
- Dynamics of a stochastic multigroup SIQR epidemic model with standard incidence rates
- Threshold behavior in a stochastic SIQR epidemic model with standard incidence and regime switching
- The saturating contact rate in marriage- and epidemic models
- Dynamical behavior of an epidemic model with a nonlinear incidence rate
- Stability of a budworm growth model with random perturbations
- Global analysis and numerical simulations of a novel stochastic eco-epidemiological model with time delay
- Impact of the fear effect in a prey-predator model incorporating a prey refuge
- A stochastic SIS epidemic model with vaccination
- Persistence and distribution of a stochastic susceptible-infected-removed epidemic model with varying population size
- Stochastic analysis of a novel nonautonomous periodic SIRI epidemic system with random disturbances
- Stochastic persistence and stationary distribution in an SIS epidemic model with media coverage
- Extinction and periodic solutions for an impulsive SIR model with incidence rate stochastically perturbed
- Periodic solution and ergodic stationary distribution of two stochastic SIQS epidemic systems
- Stationary distribution of a stochastic SIQR epidemic model with saturated incidence and degenerate diffusion
- A stochastic differential equation SIS epidemic model incorporating Ornstein-Uhlenbeck process
- Long time behaviors of single-species population models with psychological effect and impulsive toxicant in polluted environments
- Optimal harvesting policy of logistic population model in a randomly fluctuating environment
- Dynamical behavior of a stochastic multigroup SIR epidemic model
- Persistence and ergodicity of a stochastic single species model with Allee effect under regime switching
- Mathematical analysis of an SIS model with imperfect vaccination and backward bifurcation
- Environmental variability in a stochastic epidemic model
- Stationary distribution and extinction of a stochastic SIR model with nonlinear perturbation
- Threshold dynamics and ergodicity of an SIRS epidemic model with Markovian switching
- Periodic behavior in a FIV model with seasonality as well as environment fluctuations
- Vaccination models and optimal control strategies to dengue
- The Mathematics of Infectious Diseases
- An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
- A Stochastic Differential Equation SIS Epidemic Model
- Periodic solution of a stochastic SIRS epidemic model with seasonal variation
- Stationary distribution and extinction of a stochastic SIRI epidemic model with relapse
- The asymptotic behavior of a stochastic multigroup SIS model