Metastability, hysteresis and outbreaks in a temperature-dependent model for a mite predator-prey interaction

DOI10.1016/0895-7177(90)90013-DzbMath0706.92024WikidataQ115598994 ScholiaQ115598994MaRDI QIDQ918900

John B. Collings, David J. Wollkind

Publication date: 1990

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

ordinary differential equationsmetastabilitysubcritical instabilityoutbreakcommunity equilibrium pointshigh prey levellow prey levelmite predator-prey population interactionmultiple stable solutionspest species

Mathematics Subject Classification ID

Ecology (92D40)

Related Items

Hysteresis and Stability

Uses Software

• AUTO
• AUTO-86

Cites Work

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• The computer-aided bifurcation analysis of predator-prey models
• Multiple stable equilibria in a predator-prey system
• Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees
• Modeling and Simulation in Agricultural Pest Management
• Stability and Hopf Bifurcation in a Predator–Prey System with Several Parameters