Interplay of node connectivity and epidemic rates in the dynamics of epidemic networks

DOI10.1080/10236190902766835zbMath1159.92035OpenAlexW2116115649MaRDI QIDQ3624417

Tanya V. Kostova

Publication date: 30 April 2009

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://www.osti.gov/biblio/1343012

zbMATH Keywords

dynamical systemnetwork dynamicsepidemic controlreproduction number

Mathematics Subject Classification ID

Epidemiology (92D30) Application models in control theory (93C95) Additive difference equations (39A10)

Related Items (6)

Conditional quenched mean-field approach for recurrent-state epidemic dynamics in complex networks ⋮ Epidemic spreading over quenched networks with local behavioral response ⋮ Approximating individual risk of infection in a Markov chain epidemic network model with a deterministic system ⋮ Spread of epidemic-like failures in telecommunication networks ⋮ Leading eigenvalues of adjacency matrices of star-like graphs with fixed numbers of vertices and edges ⋮ Pair quenched mean-field approach to epidemic spreading in multiplex networks

Cites Work

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• Stability of the endemic equilibrium in epidemic models with subpopulations
• Applications of Perron-Frobenius theory to population dynamics
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Bounds for the Perron root of a nonnegative matrix involving the properties of its graph

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