Automata network SIR models for the spread of infectious diseases in populations of moving individuals

DOI10.1088/0305-4470/25/9/018zbMath0752.92024OpenAlexW2049182233MaRDI QIDQ4020976

Nino Boccara, Kyeong Hee Cheong

Publication date: 17 January 1993

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/25/9/018

zbMATH Keywords

discrete dynamical systemsspatial correlationsmean-field approximationrecoveryasymptotic behavioursremovalspread of infectious diseasestwo-population modelsdegree of mixingAutomata network SIR models

Mathematics Subject Classification ID

Epidemiology (92D30) Circuits, networks (94C99) Applications of graph theory to circuits and networks (94C15)

Related Items (20)

Stationary states and spatial patterning in an \(S I S\) epidemiology model with implicit mobility ⋮ A branching random-walk model of disease outbreaks and the percolation backbone ⋮ Propagation of fronts in cellular automata ⋮ Spatiotemporal dynamics of the epidemic transmission in a predator-prey system ⋮ Epidemic thresholds and vaccination in a lattice model of disease spread ⋮ Dimer automata and cellular automata ⋮ Control attenuation and temporary immunity in a cellular automata SEIR epidemic model ⋮ Modeling public opinion polarization in group behavior by integrating SIRS-based information diffusion process ⋮ Discrete stochastic modeling for epidemics in networks ⋮ EFFECTS OF MOTION ON EPIDEMIC SPREADING ⋮ Estimation of the parameters of an infectious disease model using neural networks ⋮ A new class of automata networks ⋮ Migration in cellular automata ⋮ Dynamical phases in a cellular automaton model for epidemic propagation ⋮ Population dispersion and equilibrium infection frequency in a spatial epidemic ⋮ A CELLULAR AUTOMATON MODELING THE STRUGGLE TO CONTROL THE MEDIA ⋮ LATTICE THREE-SPECIES MODELS OF THE SPATIAL SPREAD OF RABIES AMONG FOXES ⋮ Dynamics in a lattice epidemic model ⋮ Dynamical small-world behavior in an epidemical model of mobile individuals ⋮ Analytical solution of the SIR-model for the temporal evolution of epidemics: part B. Semi-time case

This page was built for publication: Automata network SIR models for the spread of infectious diseases in populations of moving individuals