Bifurcation of Multiple Limit Cycles in an Epidemic Model on Adaptive Networks

DOI10.1142/S0218127419500962zbMath1425.34068WikidataQ127484811 ScholiaQ127484811MaRDI QIDQ5229119

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Publication date: 14 August 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

limit cycleHopf bifurcationnormal formepidemic modeladaptive network

Mathematics Subject Classification ID

Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (2)

Stability, bifurcation and chaos of a discrete-time pair approximation epidemic model on adaptive networks ⋮ Dynamics of Wild and Sterile Mosquito Population Models with Delayed Releasing

Cites Work

• Normal forms, Melnikov functions and bifurcations of limit cycles
• Complex dynamics of epidemic models on adaptive networks
• An explicit recursive formula for computing the normal forms associated with semisimple cases
• AN EXPLICIT RECURSIVE FORMULA FOR COMPUTING THE NORMAL FORM AND CENTER MANIFOLD OF GENERAL n-DIMENSIONAL DIFFERENTIAL SYSTEMS ASSOCIATED WITH HOPF BIFURCATION
• COMPUTATION OF NORMAL FORMS VIA A PERTURBATION TECHNIQUE
• The Structure and Function of Complex Networks
• Exploring complex networks
• Unnamed Item

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