Slow‐fast dynamics in a model of population and resource growth

DOI10.1080/08898489609525427zbMath0879.92028OpenAlexW2160973180WikidataQ40953196 ScholiaQ40953196MaRDI QIDQ4358031

Alexandra Milik, Alexia Prskawetz

Publication date: 28 January 1998

Published in: Mathematical Population Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/08898489609525427

zbMATH Keywords

singular perturbationssustainabilityslow-fast dynamicsMalthusian population growth

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ecology (92D40) Applications of dynamical systems (37N99)

Uses Software

• Mathematica

Cites Work

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• The canard unchained or how fast/slow dynamical systems bifurcate
• Transversal heteroclinic and homoclinic orbits in singular perturbation problems
• Asymptotic methods for relaxation oscillations and applications
• Geometric singular perturbation theory for ordinary differential equations
• Differential equations with small parameters and relaxation oscillations. Translation from the Russian by F. M. C. Goodspeed
• Limit cycles in slow-fast forest-pest models
• Endogenous population growth and the exploitation of renewable resources