Dynamics of an ultra-discrete SIR epidemic model with time delay
From MaRDI portal
Publication:1714891
DOI10.3934/mbe.2018029zbMath1406.92617OpenAlexW2776612626WikidataQ58131280 ScholiaQ58131280MaRDI QIDQ1714891
Emiko Ishiwata, Yukihiko Nakata, Masaki Sekiguchi
Publication date: 1 February 2019
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mbe.2018029
Related Items (3)
Deflection analysis of long-span girder bridges under vehicle bridge interaction using cellular automaton based traffic microsimulation ⋮ Unnamed Item ⋮ Analysis of two discrete forms of the classic continuous SIR epidemiological model
Cites Work
- Unnamed Item
- Spatial pattern of discrete and ultradiscrete Gray-Scott model
- Modeling epidemics using cellular automata
- Nonstandard numerical methods for a mathematical model for influenza disease
- Global dynamics of a discretized SIRS epidemic model with time delay
- Global behavior and permanence of SIRS epidemic model with time delay
- A general discrete time model of population dynamics in the presence of an infection
- Complete global stability for an SIR epidemic model with delay - distributed or discrete
- Introduction to functional differential equations
- Some discrete-time SI, SIR, and SIS epidemic models
- Global stability of an SIR epidemic model with time delays
- Epidemic dynamics: discrete-time and cellular automaton models
- Discretizations of nonlinear differential equations using explicit nonstandard methods
- Global asymptotic stability of an \(SIR\) epidemic model with distributed time delay.
- Global stability for a class of discrete SIR epidemic models
- A discrete time version for models of population dynamics in the presence of an infection
- Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates
- PERMANENCE OF SOME DISCRETE EPIDEMIC MODELS
- Statistical mechanics of cellular automata
- On spurious asymptotic numerical solutions of explicit Runge-Kutta methods
- A Positivity-preserving Mickens-type Discretization of an Epidemic Model
- Piecewise-Defined Difference Equations: Open Problem
- Analytical properties of ultradiscrete Burgers equation and rule-184 cellular automaton
This page was built for publication: Dynamics of an ultra-discrete SIR epidemic model with time delay