Outbreaks and oscillations in a temperature-dependent model for a mite predator-prey interaction

DOI10.1016/0040-5809(90)90009-KzbMath0722.92019OpenAlexW1987882057WikidataQ115599575 ScholiaQ115599575MaRDI QIDQ757292

Michael E. Moody, John B. Collings, David J. Wollkind

Publication date: 1990

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-5809(90)90009-k

zbMATH Keywords

stabilityconvergencelimit cyclesbifurcationtemperature-dependent modelMay mite prey-predator modelone-parameter system of two ordinary differential equations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ecology (92D40)

Related Items

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

Uses Software

• AUTO
• AUTO-86

Cites Work

• 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
• Nonlinear Instability in Dissipative Finite Difference Schemes
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item