Persistent unstable equilibria and the grace period in dynamic models of environmental change

DOI10.1080/02681119808806252zbMath1135.34327OpenAlexW2046045085MaRDI QIDQ4258130

Alessandra Gragnani, Alexia Prskawetz, Alexandra Milik, Warren C. Sanderson

Publication date: 1 September 1999

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119808806252

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Uses Software

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Cites Work

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• Persistent unstable equilibria and closed orbits of a singularly perturbed equation
• Limit cycles in slow-fast forest-pest models
• Regulating activities with catastrophic environmental effects
• Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps

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