The limit behavior of SEIRS model in spatial grid
DOI10.1142/S0219493722400081zbMath1504.35581OpenAlexW4220864440MaRDI QIDQ5083417
Shuaipeng Liu, Yeyu Xiao, Hong-Jun Gao
Publication date: 20 June 2022
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219493722400081
Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Random operators and equations (aspects of stochastic analysis) (60H25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Methods of ordinary differential equations applied to PDEs (35A24)
Cites Work
- Unnamed Item
- Law of large numbers in an epidemic model
- Global stability of a multi-group SIS epidemic model for population migration
- On the nonlinear stability of an epidemic SEIR reaction-diffusion model
- Epidemic spreading of an SEIRS model in scale-free networks
- An SIS patch model with variable transmission coefficients
- Analysis of an SEIRS epidemic model with two delays
- Mathematical model of Ebola transmission dynamics with relapse and reinfection
- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
- Numerical modelling of an SIR epidemic model with diffusion
- Complete global stability for an SIR epidemic model with delay - distributed or discrete
- Law of large numbers and central limit theorem for linear chemical reactions with diffusion
- Comparison of stochastic and deterministic models of a linear chemical reaction with diffusion
- Law of large numbers in the supremum norm for a chemical reaction with diffusion
- A simple model for tropical malaria epidemics
- An SIRS epidemic model
- An SEIRS epidemic model with stochastic transmission
- Stochastic epidemic SEIRS models with a constant latency period
- Global behavior of an SEIRS epidemic model with time delays
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- A SIR model on a refining spatial grid. I: Law of large numbers
- Global asymptotic properties of an SEIRS model with multiple infectious stages
- A spatial SEIRS reaction-diffusion model in heterogeneous environment
- Parameter identification for a stochastic \textit{SEIRS} epidemic model: case study influenza
- SEIRS epidemic model with delay for transmission of malicious objects in computer network
- Nonautonomous SEIRS and Thron models for epidemiology and cell biology
- Deterministic limit of the stochastic model of chemical reactions with diffusion
- An Application of the Logistic Distribution to the Analysis of a Measles Epidemic
- Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
- Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model
This page was built for publication: The limit behavior of SEIRS model in spatial grid