Dynamics analysis of stochastic epidemic models with standard incidence
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Publication:1716417
DOI10.1186/s13662-019-1972-0zbMath1458.37108OpenAlexW2920889573WikidataQ128532236 ScholiaQ128532236MaRDI QIDQ1716417
Feifei Bian, Mengnan Chi, Wencai Zhao, Jinlei Liu
Publication date: 4 February 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-019-1972-0
periodic solutionextinctionstandard incidencestochastic SIRS epidemic modelstationary distribution and ergodicity
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)
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Cites Work
- Unnamed Item
- Lyapunov-type conditions and stochastic differential equations driven by \(G\)-Brownian motion
- Global dynamics of a virus dynamical model with cell-to-cell transmission and cure rate
- Stationary distribution of stochastic population systems under regime switching
- Stationary distribution of stochastic SIS epidemic model with vaccination under regime switching
- Stochastic linear quadratic optimal control with constraint for discrete-time systems
- Stability of stochastic differential equations with Markovian switching
- Nontrivial periodic solution of a stochastic non-autonomous SISV epidemic model
- Stationary distribution and extinction of a stochastic SIRS epidemic model with standard incidence
- Optimal harvesting control and dynamics of two-species stochastic model with delays
- Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis
- Modeling cell-to-cell spread of HIV-1 with nonlocal infections
- 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
- Dynamics analysis and numerical simulations of a stochastic non-autonomous predator-prey system with impulsive effects
- Dynamics of a nonautonomous stochastic SIS epidemic model with double epidemic hypothesis
- Dynamical analysis of a class of prey-predator model with Beddington-DeAngelis functional response, stochastic perturbation, and impulsive toxicant input
- Threshold dynamics of a stochastic \(S I R\) model with vertical transmission and vaccination
- Application of stochastic inequalities to global analysis of a nonlinear stochastic SIRS epidemic model with saturated treatment function
- Dynamical analysis of multi-nutrient and single microorganism chemostat model in a polluted environment
- Extinction and persistence of a stochastic SIRS epidemic model with saturated incidence rate and transfer from infectious to susceptible
- Persistence and extinction of a stochastic single-specie model under regime switching in a polluted environment
- Extinction and persistence in mean of a novel delay impulsive stochastic infected predator-prey system with jumps
- Dynamical analysis of SIR epidemic model with nonlinear pulse vaccination and lifelong immunity
- A new way of investigating the asymptotic behaviour of a stochastic SIS system with multiplicative noise
- Analysis and numerical simulations of a stochastic SEIQR epidemic system with quarantine-adjusted incidence and imperfect vaccination
- Threshold behavior in a stochastic SIQR epidemic model with standard incidence and regime switching
- \(H_\infty\) control for stochastic systems with Poisson jumps
- Spatio-temporal dynamics near the steady state of a planktonic system
- Global analysis and numerical simulations of a novel stochastic eco-epidemiological model with time delay
- The stationary distribution and ergodicity of a stochastic phytoplankton allelopathy model under regime switching
- Persistence and ergodicity of a stochastic single species model with Allee effect under regime switching
- Periodic solution and ergodic stationary distribution of SEIS dynamical systems with active and latent patients
- Nontrivial periodic solution of a stochastic epidemic model with seasonal variation
- Stochastic inequalities and applications to dynamics analysis of a novel SIVS epidemic model with jumps
- A STAGE-STRUCTURED PREDATOR-PREY SI MODEL WITH DISEASE IN THE PREY AND IMPULSIVE EFFECTS
- Stability of stochastic SIRS epidemic models with saturated incidence rates and delay
- A non-autonomous multi-strain SIS epidemic model
- A strong law of large numbers for local martingales
- Dynamical Analysis of a Phytoplankton–Zooplankton System with Harvesting Term and Holling III Functional Response
- SIRS Epidemic Model and Simulations Using Different Types of Seasonal Contact Rate
- GLOBAL ANALYSIS FOR A DELAYED SIV MODEL WITH DIRECT AND ENVIRONMENTAL TRANSMISSIONS
- DYNAMICS OF A STOCHASTIC SIR MODEL WITH BOTH HORIZONTAL AND VERTICAL TRANSMISSION
