Stationary states and spatial patterning in the cellular automaton \textit{SEIS} epidemiology model

DOI10.1016/j.physa.2018.06.001OpenAlexW2805099719WikidataQ129718390 ScholiaQ129718390MaRDI QIDQ2153183

Hryhoriy Ilnytskyi, Piotr Pikuta, Jaroslav M. Ilnytskyi

Publication date: 1 July 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2018.06.001

zbMATH Keywords

cellular automataepidemiology

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical aspects of cellular automata (37B15) Medical epidemiology (92C60) Statistical mechanics, structure of matter (82-XX)

Related Items (5)

Endemic state equivalence between non-Markovian SEIS and Markovian SIS model in complex networks ⋮ Turing patterns of an si epidemic model with cross-diffusion on complex networks ⋮ Two-dimensional rotation-symmetric number-conserving cellular automata ⋮ Unnamed Item ⋮ Spreading processes in post-epidemic environments

Cites Work

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• Exact analytical solutions of the susceptible-infected-recovered (SIR) epidemic model and of the SIR model with equal death and birth rates
• Global stability of the endemic equilibrium of multigroup SIR models with nonlinear incidence
• Analysis of a spatially extended nonlinear SEIS epidemic model with distinct incidence for exposed and infectives
• Mathematical epidemiology.
• Global stability analysis for SEIS models with \(n\) latent classes
• Stationary states and spatial patterning in an \(S I S\) epidemiology model with implicit mobility
• Global stability of an SEI epidemic model with general contact rate
• Stability analysis in a class of discrete SIRS epidemic models
• An application of queuing theory to SIS and SEIS epidemic models
• The Kermack--McKendrick epidemic model revisited
• Global stability analysis of a delayed susceptible–infected–susceptible epidemic model
• Lyapunov functions and global properties for SEIR and SEIS epidemic models
• Computational Science – ICCS 2005

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