Equivalent embeddings of the dynamics on an invariant manifold

DOI10.1016/j.jmaa.2005.12.054zbMath1086.37015OpenAlexW2056512962MaRDI QIDQ820017

C. Connell McCluskey

Publication date: 6 April 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.12.054

zbMATH Keywords

global stabilityinvariant manifoldepidemiological modelcompound matrixautonomous ordinary differential equations

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Dynamics induced by flows and semiflows (37C10) Global stability of solutions to ordinary differential equations (34D23) Invariant manifold theory for dynamical systems (37D10)

Cites Work

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• On Bendixson's criterion
• Dynamics of differential equations on invariant manifolds
• A model of HIV/AIDS with staged progression and amelioration
• Phase asymptotic semiflows, Poincaré's condition, and the existence of stable limit cycles
• Compound matrices and ordinary differential equations
• A Geometric Approach to Global-Stability Problems

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