Canard solutions and travelling waves in the spruce budworm population model

DOI10.1016/j.amc.2006.05.115zbMath1104.92058OpenAlexW2011732539MaRDI QIDQ865549

Lucie Purmová, Lubor Buřič, Alois Klíč

Publication date: 19 February 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.115

zbMATH Keywords

eikonal equationslow-fast systemspruce budworm

Mathematics Subject Classification ID

Related Items (9)

Multi-mode attractors and spatio-temporal canards ⋮ Canards and mixed-mode oscillations in a forest pest model ⋮ Entire solutions of the spruce budworm model ⋮ Local Theory for Spatio-Temporal Canards and Delayed Bifurcations ⋮ Mixed-Mode Oscillations Due to a Singular Hopf Bifurcation in a Forest Pest Model ⋮ Dynamic analysis of a model for spruce budworm populations with delay ⋮ Ducks in space: from nonlinear absolute instability to noise-sustained structures in a pattern-forming system ⋮ Bifurcation analysis of a spruce budworm model with diffusion and physiological structures ⋮ A Fast-Slow Dynamical System Model of Addiction: Predicting Relapse Frequency

Cites Work

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• Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff
• Spatial patterning of the spruce budworm
• One-way blocks in excitable media
• Mathematical biology. Vol. 1: An introduction.
• Chaotic Behaviour of Deterministic Dissipative Systems
• New type of travelling wave solutions
• Relaxation oscillations including a standard chase on French ducks
• Integral manifolds, canards and black swans

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