Epidemic Outbreaks in Networks with Equitable or Almost-Equitable Partitions

DOI10.1137/140995829zbMath1325.05172arXiv1412.6157OpenAlexW3125246284MaRDI QIDQ3452590

Delio Mugnolo, Stefano Bonaccorsi, Francesco de Pellegrini, Stefania Ottaviano

Publication date: 13 November 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.6157

zbMATH Keywords

graph spectrahierarchical networkssusceptible-infected-susceptible modelequitable and almost equitable partitions

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of graph theory (05C90) Small world graphs, complex networks (graph-theoretic aspects) (05C82) Nonlinear ordinary differential equations and systems (34A34) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Global stability of solutions to ordinary differential equations (34D23)

Related Items

Epidemics on networks with heterogeneous population and stochastic infection rates ⋮ Invariant Synchrony Subspaces of Sets of Matrices ⋮ Global stability of multi‐group SAIRS epidemic models ⋮ Sequences of lower and upper bounds for the spectral radius of a nonnegative matrix ⋮ Nonlinear network dynamics with consensus-dissensus bifurcation ⋮ Clustering for epidemics on networks: A geometric approach ⋮ Accuracy criterion for mean field approximations of Markov processes on hypergraphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(N\)-intertwined SIS epidemic network model
• Feasibility conditions for the existence of walk-regular graphs
• A deterministic model for gonorrhea in a nonhomogeneous population
• Epidemics with two levels of mixing
• Stochastic models of some endemic infections
• Epidemic modeling in metapopulation systems with heterogeneous coupling pattern: theory and simulations
• Metapopulation theory for fragmented landscapes
• Network epidemic models with two levels of mixing
• A description of the long-term behaviour of absorbing continuous-time Markov chains using a centre manifold
• Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model

This page was built for publication: Epidemic Outbreaks in Networks with Equitable or Almost-Equitable Partitions