A stochastic switched SIRS epidemic model with nonlinear incidence and vaccination: Stationary distribution and extinction
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Publication:5110336
DOI10.1142/S1793524520500205zbMath1443.92190OpenAlexW3004150910MaRDI QIDQ5110336
Xin He, Xin Zhao, Zhipeng Qiu, Tao Feng
Publication date: 18 May 2020
Published in: International Journal of Biomathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793524520500205
Epidemiology (92D30) Applications of stochastic analysis (to PDEs, etc.) (60H30) Medical epidemiology (92C60)
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Cites Work
- Unnamed Item
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- Stationary distribution of stochastic population systems under regime switching
- Stationary distribution of stochastic SIS epidemic model with vaccination under regime switching
- Complete global stability for an SIRS epidemic model with generalized non-linear incidence and vaccination
- The SIS epidemic model with Markovian switching
- Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis
- A stochastic SIRS epidemic model with infectious force under intervention strategies
- Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response
- Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching
- Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate
- Asymptotic behavior of global positive solution to a stochastic SIR model
- Global stability for delay SIR and SEIR epidemic models with nonlinear incidence rate
- Dynamics of a stochastic regime-switching predator-prey model with modified Leslie-Gower Holling-type II schemes and prey harvesting
- Survival and stationary distribution analysis of a stochastic competitive model of three species in a polluted environment
- Dynamical behavior of epidemiological models with nonlinear incidence rates
- A generalization of the Kermack-McKendrick deterministic epidemic model
- Stability analysis for differential infectivity epidemic models
- Stability of stochastic differential equations with Markovian switching
- Global dynamics of an infinite dimensional epidemic model with nonlocal state structures
- Dynamics of a stochastic regime-switching predator-prey model with harvesting and distributed delays
- The threshold infection level for \textit{Wolbachia} invasion in random environments
- Extinction and persistence of a stochastic SIRS epidemic model with saturated incidence rate and transfer from infectious to susceptible
- Dynamics of a stochastic SIS epidemic model with nonlinear incidence rates
- A new way of investigating the asymptotic behaviour of a stochastic SIS system with multiplicative noise
- Asymptotic properties of a stochastic SIR epidemic model with Beddington-DeAngelis incidence rate
- Caspase-1-mediated pyroptosis of the predominance for driving \(\mathrm{CD}4^+\) T cells death: a nonlocal spatial mathematical model
- Global dynamics and travelling wave solutions for a class of non-cooperative reaction-diffusion systems with nonlocal infections
- Global analysis of SIS epidemic models with variable total population size
- Environmental Brownian noise suppresses explosions in population dynamics.
- Global stability for the SEIR model in epidemiology
- Mathematical analysis of a virus dynamics model with general incidence rate and cure rate
- Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence
- Analysis of a stochastic HIV-1 infection model with degenerate diffusion
- Stationary distribution of a stochastic within-host dengue infection model with immune response and regime switching
- Complicated endemics of an SIRS model with a generalized incidence under preventive vaccination and treatment controls
- Global analysis of a stochastic TB model with vaccination and treatment
- Periodic solution and ergodic stationary distribution of stochastic SIRI epidemic systems with nonlinear perturbations
- Dynamics of a stochastic hepatitis C virus system with host immunity
- A malaria transmission model with temperature-dependent incubation period
- Stochastic population dynamics under regime switching
- Stability of regime-switching diffusions
- A stochastic vector-borne epidemic model: quasi-stationarity and extinction
- Threshold dynamics and ergodicity of an SIRS epidemic model with Markovian switching
- Use of age-stage structural models to seek optimal \textit{Wolbachia}-infected male mosquito releases for mosquito-borne disease control
- Conditions for permanence and ergodicity of certain SIR epidemic models
- The ergodic property and positive recurrence of a multi-group Lotka-Volterra mutualistic system with regime switching
- A stochastic model for internal HIV dynamics
- The Mathematics of Infectious Diseases
- Global Dynamics of an SEIR Epidemic Model with Vertical Transmission
- Asymptotic Properties of Hybrid Diffusion Systems
- The Influence of External Real and White Noise on the L<scp>OTKA</scp>‐V<scp>OLTERRA</scp> Model
- Stochastic Differential Equations with Markovian Switching
- Permanence and Extinction of Regime-Switching Predator-Prey Models
- ANALYSIS OF A STOCHASTIC RECOVERY-RELAPSE EPIDEMIC MODEL WITH PERIODIC PARAMETERS AND MEDIA COVERAGE
