Nonlinear behavior of a parametrically forced temperature-dependent model for mite predator-prey interaction

DOI10.1016/0960-0779(92)90001-4zbMath0746.92020OpenAlexW1992224741WikidataQ115598969 ScholiaQ115598969MaRDI QIDQ1193670

John B. Collings

Publication date: 27 September 1992

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(92)90001-4

zbMATH Keywords

Lyapunov exponentstransient chaoschaotic attractorsintermittencyresiliencymultiple attractorsperiodic attractorsnonlinear behaviorenvironmental temperaturequasiperiodic attractorsbifurcation code AUTO-86population perturbationstemperature-dependent mite interaction on fruit trees

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Ecology (92D40) Qualitative theory for ordinary differential equations (34C99)

Uses Software

• AUTO
• AUTO-86

Cites Work

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• Outbreaks and oscillations in a temperature-dependent model for a mite predator-prey interaction
• The computer-aided bifurcation analysis of predator-prey models
• Determining Lyapunov exponents from a time series
• Nonlinear hydrodynamic modeling: A mathematical introduction
• Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees
• Scenarios Leading to Chaos in a Forced Lotka-Volterra Model
• Crises, sudden changes in chaotic attractors, and transient chaos

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