Relaxation oscillations in spruce-budworm interactions

DOI10.1016/j.nonrwa.2010.06.017zbMath1225.34057OpenAlexW2036732882WikidataQ57142244 ScholiaQ57142244MaRDI QIDQ611244

Jon Olav Vik, Anne Rasmussen, John A. Wyller

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.06.017

zbMATH Keywords

population dynamicsrelaxation oscillationssingular perturbation theory

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic expansions of solutions to ordinary differential equations (34E05) Multiple scale methods for ordinary differential equations (34E13) Relaxation oscillations for ordinary differential equations (34C26)

Related Items (18)

Numerical analysis of block-by-block method for a class of fractional relaxation-oscillation equations ⋮ Multiple spreading phenomena for a free boundary problem of a reaction-diffusion equation with a certain class of bistable nonlinearity ⋮ Bifurcation mechanism of bursting oscillations in parametrically excited dynamical system ⋮ Relaxation oscillations in predator-prey model with distributed delay ⋮ Analysis of a budworm growth model with jump-diffusion ⋮ Multitype bistability and long transients in a delayed spruce budworm population model ⋮ Multi-scale orthogonal basis method for nonlinear fractional equations with fractional integral boundary value conditions ⋮ A new accurate method for solving fractional relaxation-oscillation with Hilfer derivatives ⋮ Entire solutions of the spruce budworm model ⋮ Dynamic analysis of a model for spruce budworm populations with delay ⋮ Bifurcation analysis of a spruce budworm model with diffusion and physiological structures ⋮ Stability of a budworm growth model with random perturbations ⋮ STABILITY AND HOPF BIFURCATION ANALYSIS ON A SPRUCE-BUDWORM MODEL WITH DELAY ⋮ Relaxation oscillations in a spruce-budworm interaction model with Holling's type II functional response ⋮ Slow-fast dynamics of Hopfield spruce-budworm model with memory effects ⋮ Fast–Slow Dynamics and Bifurcation Mechanism in a Novel Chaotic System ⋮ A computational algorithm for simulating fractional order relaxation-oscillation equation ⋮ Spruce Budworm and the Forest

Uses Software

• XPPAUT

Cites Work

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• Solving multidimensional bioeconomic problems with singular-perturbation reduction methods: application to managing pest resistance to pesticidal crops
• Simulating, Analyzing, and Animating Dynamical Systems
• Exemples concrets d'étude asymptotique d'oscillations de relaxation

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