Transcritical bifurcation yielding global stability for network processes

DOI10.1016/j.na.2020.111808zbMath1441.34070OpenAlexW3008294577MaRDI QIDQ1988428

Ágnes Bodó, Peter L. Simon

Publication date: 23 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2020.111808

zbMATH Keywords

global asymptotic stability

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Global stability of solutions to ordinary differential equations (34D23)

Related Items (2)

Liapunov functions for neural network models ⋮ Bifurcations in Nagumo equations on graphs and Fiedler vectors

Cites Work

• Mathematics of epidemics on networks. From exact to approximate models
• The \(N\)-intertwined SIS epidemic network model
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• A deterministic model for gonorrhea in a nonhomogeneous population
• Dynamical models of tuberculosis and their applications
• Exponential number of stationary solutions for Nagumo equations on graphs
• The Brouwer fixed point theorem applied to rumour transmission
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