Threshold dynamics and density function of a stochastic epidemic model with media coverage and mean-reverting Ornstein-Uhlenbeck process
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Publication:2670409
DOI10.1016/j.matcom.2022.01.014OpenAlexW4210515970WikidataQ113293522 ScholiaQ113293522MaRDI QIDQ2670409
Tasawar Hayat, Baoquan Zhou, Bingtao Han, Daqing Jiang
Publication date: 11 March 2022
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2022.01.014
Fokker-Planck equationOrnstein-Uhlenbeck processdensity functionergodic stationary distributionextinction exponentially
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Cites Work
- Unnamed Item
- Long-time behavior of a stochastic SIR model
- Asymptotic behavior of a three species eco-epidemiological model perturbed by white noise
- A stochastic SIRS epidemic model with infectious force under intervention strategies
- Effect of media-induced social distancing on disease transmission in a two patch setting
- The effect of constant and pulse vaccination on SIS epidemic models incorporating media coverage
- Dynamics of an SEQIHRS epidemic model with media coverage, quarantine and isolation in a community with pre-existing immunity
- Survival and stationary distribution analysis of a stochastic competitive model of three species in a polluted environment
- Global dynamics of an epidemic model with a ratio-dependent nonlinear incidence rate
- Handbook of stochastic methods for physics, chemistry and the natural sciences
- Qualitative analyses of communicable disease models
- Threshold behaviour of a stochastic SIR model
- Threshold dynamics and ergodicity of an SIRS epidemic model with semi-Markov switching
- A stochastic SIRS epidemic model with nonlinear incidence rate
- Asymptotic properties of a stochastic SIR epidemic model with Beddington-DeAngelis incidence rate
- A stochastic SIRI epidemic model with relapse and media coverage
- Environmental Brownian noise suppresses explosions in population dynamics.
- Dynamical behavior of an epidemic model with a nonlinear incidence rate
- Global analysis and numerical simulations of a novel stochastic eco-epidemiological model with time delay
- The impact of virus carrier screening and actively seeking treatment on dynamical behavior of a stochastic HIV/AIDS infection model
- 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 numerical simulation of fractional order mathematical modeling of COVID-19 disease in case of Wuhan China
- Stationary distribution and probability density function of a stochastic SVIS epidemic model with standard incidence and vaccination strategies
- Dynamical behavior of a stochastic SVIR epidemic model with vaccination
- A stochastic differential equation SIS epidemic model incorporating Ornstein-Uhlenbeck process
- Ergodic stationary distribution of a stochastic SIRS epidemic model incorporating media coverage and saturated incidence rate
- A stochastic SIS model driven by random diffusion of air pollutants
- Periodic solutions of a stochastic food-limited mutualism model
- Ergodic stationary distribution and extinction of a stochastic SIRS epidemic model with logistic growth and nonlinear incidence
- Global threshold dynamics of an infection age-structured SIR epidemic model with diffusion under the Dirichlet boundary condition
- Early warning and basin stability in a stochastic vegetation-water dynamical system
- Stability and bifurcation analysis of an epidemic model with the effect of media
- The effectiveness of contact tracing in mitigating COVID-19 outbreak: a model-based analysis in the context of India
- Stationary solution, extinction and density function for a high-dimensional stochastic SEI epidemic model with general distributed delay
- An SIRS epidemic model incorporating media coverage with time delay
- Analysis of a stochastic hybrid population model with Allee effect
- Environmental variability in a stochastic epidemic model
- Ergodic property of a Lotka-Volterra predator-prey model with white noise higher order perturbation under regime switching
- The threshold of a stochastic SIRS epidemic model with saturated incidence
- Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate
- Conditions for permanence and ergodicity of certain SIR epidemic models
- Global properties of infectious disease models with nonlinear incidence
- Media/psychological impact on multiple outbreaks of emerging infectious diseases
- Effects of global warming on pattern dynamics of vegetation: Wuwei in China as a case
- A stochastic chemostat model with mean-reverting Ornstein-Uhlenbeck process and Monod-Haldane response function
- Virus dynamic behavior of a stochastic HIV/AIDS infection model including two kinds of target cell infections and CTL immune responses
- An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
- Conditions for permanence and ergodicity of certain stochastic predator–prey models
- Global Stability of a Nonlinear Viral Infection Model with Infinitely Distributed Intracellular Delays and CTL Immune Responses
- Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
- A strong law of large numbers for local martingales