Asymptotic behavior of a regime-switching SIR epidemic model with degenerate diffusion
From MaRDI portal
Publication:1711651
DOI10.1186/s13662-018-1505-2zbMath1445.92274OpenAlexW2790764607MaRDI QIDQ1711651
Minghe Pei, Yuguo Lin, Manli Jin
Publication date: 18 January 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-018-1505-2
Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Markov semigroups and applications to diffusion processes (47D07) Diffusion processes (60J60)
Related Items
Stationary distribution of a stochastic SIQR epidemic model with saturated incidence and degenerate diffusion ⋮ Ergodicity of a regime-switching epidemic model with degenerate diffusion ⋮ A stochastic SIS epidemic model with saturating contact rate ⋮ A stochastic differential equation SIS model on network under Markovian switching ⋮ The threshold of a stochastic SIRS epidemic model with general incidence rate under regime-switching ⋮ Stationary distribution and periodic solution of stochastic toxin-producing phytoplankton-zooplankton systems ⋮ On Weak Asymptotic Periodicity ⋮ Dynamics of an SIR epidemic model with varying population sizes and regime switching in a two patch setting ⋮ A stochastic SIRS epidemic model with non-monotone incidence rate under regime-switching ⋮ Dynamical behavior of stochastic SIRS model with two different incidence rates and Markovian switching
Cites Work
- Stationary distribution of stochastic SIS epidemic model with vaccination under regime switching
- The threshold of a stochastic susceptible-infective epidemic model under regime switching
- On hybrid competitive Lotka-Volterra ecosystems
- Dynamics of a multigroup SIR epidemic model with stochastic perturbation
- Population dynamical behavior of a two-predator one-prey stochastic model with time delay
- Population dynamical behavior of Lotka-Volterra system under regime switching
- Stationary distributions of a stochastic SIR model with saturated incidence and its asymptotic stability
- Chaos, fractals, and noise: Stochastic aspects of dynamics.
- Stability of Markov semigroups and applications to parabolic systems
- Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching
- Coexistence and extinction for stochastic Kolmogorov systems
- Dynamics of a stochastic regime-switching predator-prey model with harvesting and distributed delays
- Stochastic SIRS model under regime switching
- Stochastic population dynamics under regime switching
- Stability of regime-switching diffusions
- Threshold dynamics and ergodicity of an SIRS epidemic model with Markovian switching
- On the stability of jump-diffusions with Markovian switching
- Asymptotic properties of switching diffusion epidemic model with varying population size
- Long-time behaviour of a stochastic prey--predator model.
- Classification of Asymptotic Behavior in a Stochastic SIR Model
- A Stochastic Differential Equation SIS Epidemic Model
- OUP accepted manuscript
