Coarse-grained bifurcation analysis and detection of criticalities of an individual-based epidemiological network model with infection control

DOI10.1016/j.apm.2009.06.005zbMath1185.37198OpenAlexW2026213762MaRDI QIDQ967836

Constantinos I. Siettos, Andreas I. Reppas, Andreas C. Tsoumanis

Publication date: 2 May 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2009.06.005

zbMATH Keywords

controlepidemiologybifurcation analysisindividual-based modelsmulti-scale computations

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of graph theory (05C90) Dynamical systems in biology (37N25)

Related Items (3)

A Filippov system describing media effects on the spread of infectious diseases ⋮ Equation-free multiscale computational analysis of individual-based epidemic dynamics on networks ⋮ The effects of community interactions and quarantine on a complex network

Uses Software

• KELLEY

Cites Work

• Elements of applied bifurcation theory.
• Bifurcations in an epidemic model with constant removal rate of the infectives
• SVIR epidemic models with vaccination strategies
• Effects of quarantine in six endemic models for infectious diseases
• Modelling epidemics with variable contact rates
• Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis
• Bifurcations of an epidemic model with non-linear incidence and infection-dependent removal rate
• The Structure and Function of Complex Networks
• Effective bifurcation analysis: a time-stepper-based approach
• Paths in graphs
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