The Speed of Epidemic Waves in a One-Dimensional Lattice of SIR Models

DOI10.1051/mmnp:2008069zbMath1337.92217OpenAlexW2127596070MaRDI QIDQ2786673

Michael B. Gravenor, I. A. Sazonov, M. Ya. Kel'bert

Publication date: 23 February 2016

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp:2008069

zbMATH Keywords

travelling wavesdynamic systemsspatial epidemic models

Mathematics Subject Classification ID

Epidemiology (92D30)

Related Items (10)

A Leslie-Gower Holling-type II ecoepidemic model ⋮ A two-stage model for the SIR outbreak: accounting for the discrete and stochastic nature of the epidemic at the initial contamination stage ⋮ Modelling Stochastic and Deterministic Behaviours in Virus Infection Dynamics ⋮ On an epidemiological model with nonlinear infection incidence: local and global perspective ⋮ Individual-based optimal weight adaptation for heterogeneous epidemic spreading networks ⋮ Traveling wave solutions of a nonlocal delayed SIR model without outbreak threshold ⋮ Monitoring and prediction of an epidemic outbreak using syndromic observations ⋮ Ecoepidemic models with disease incubation and selective hunting ⋮ Existence of traveling wave solutions of a deterministic vector-host epidemic model with direct transmission ⋮ Random migration processes between two stochastic epidemic centers

Cites Work

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• Dependence of epidemic and population velocities on basic parameters
• The importance of being discrete (and spatial)
• On the Lambert \(w\) function
• Spatial Ecology via Reaction‐Diffusion Equations
• TRAVELING WAVES FOR A SIMPLE DIFFUSIVE EPIDEMIC MODEL
• Probability and Statistics by Example

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