Stability and bifurcation of disease spreading in complex networks

DOI10.1080/00207720412331285869zbMath1061.92056OpenAlexW2172216208MaRDI QIDQ4678220

Xiang Li, Chunguang Li, Guan-Rong Chen

Publication date: 23 May 2005

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207720412331285869

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Circuits, networks (94C99) Stability theory for ordinary differential equations (34D99)

Related Items (8)

Hopf bifurcation control for delayed complex networks ⋮ The influence of time delay on epidemic spreading under limited resources ⋮ Dynamic optimal control at Hopf bifurcation of a Newman-Watts model of small-world networks via a new \(PD^{\frac{1}{n}}\) scheme ⋮ Epidemic prevalence on random mobile dynamical networks: individual heterogeneity and correlation ⋮ Stability, bifurcation prediction and optimal control of a delayed integer-order small-world network based on the fractional-order PD control policy of variable order ⋮ Dynamical behaviors of Hopfield neural network with multilevel activation functions ⋮ Stability and Hopf bifurcation of controlled complex networks model with two delays ⋮ On the stability of epidemic spreading in small-world networks: how prompt the recovery should be?

Cites Work

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• Complexity and synchronization of the World Trade Web
• Spreading and shortest paths in systems with sparse long-range connections
• Statistical mechanics of complex networks
• The Structure and Function of Complex Networks
• Collective dynamics of ‘small-world’ networks
• Models of the small world.
• Fractals in small-world networks with time-delay

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