Stationary distribution and extinction of a stochastic SEIR epidemic model with standard incidence
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Publication:2145195
DOI10.1016/j.physa.2017.02.028zbMath1495.92090OpenAlexW2552702493MaRDI QIDQ2145195
Bashir Ahmad, Daqing Jiang, Qun Liu, Ning-Zhong Shi, Tasawar Hayat
Publication date: 17 June 2022
Published in: Physica A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physa.2017.02.028
Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The threshold of a stochastic SIS epidemic model with vaccination
- Analysis of a stochastic tri-trophic food-chain model with harvesting
- Dynamics of a two-prey one-predator system in random environments
- Threshold behavior in a stochastic SIS epidemic model with standard incidence
- The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence
- A stochastic model of AIDS and condom use
- The evolutionary dynamics of stochastic epidemic model with nonlinear incidence rate
- Pulse vaccination of an SEIR epidemic model with time delay
- Reproduction numbers and thresholds in stochastic epidemic models. I: Homogeneous populations
- A comparison theorem for solutions of stochastic differential equations and its applications
- Stochastic models of some endemic infections
- Environmental Brownian noise suppresses explosions in population dynamics.
- Stationary distribution of a stochastic SIS epidemic model with vaccination
- Global stability for the SEIR model in epidemiology
- Stochastic epidemics: Major outbreaks and the duration of the endemic period
- Stochastic population growth in spatially heterogeneous environments
- Dynamics of positive solutions to SIR and SEIR epidemic models with saturated incidence rates
- Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations
- Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence
- A stochastic model for internal HIV dynamics
- Exclusion and persistence in deterministic and stochastic chemostat models
- The long time behavior of DI SIR epidemic model with stochastic perturbation
- Some properties of a simple stochastic epidemic model of SIR type
- Epidemic modelling: aspects where stochasticity matters
- Global Dynamics of an SEIR Epidemic Model with Vertical Transmission
- A Stochastic Differential Equation SIS Epidemic Model
- An Introduction to Stochastic Epidemic Models
- Contributions to the mathematical theory of epidemics. II. —The problem of endemicity
- Stochastic Spatial Models
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