Pest control by generalist parasitoids: a bifurcation theory approach

DOI10.3934/dcdss.2020163zbMath1471.92394OpenAlexW2993787754WikidataQ126580786 ScholiaQ126580786MaRDI QIDQ2230314

Gunog Seo, Gail S. K. Wolkowicz

Publication date: 17 September 2021

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020163

zbMATH Keywords

homoclinic orbitsBautin bifurcationcyclic-fold bifurcationBogdanov-Takens bifurcationscodimension three bifurcationpest control by generalist predators

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Pest management (92D45)

Related Items

The nilpotent bifurcations in a model for generalist predatory mite and pest leafhopper with stage structure ⋮ Global analysis in Bazykin's model with Holling II functional response and predator competition ⋮ Periodic traveling waves with large speed ⋮ Complex dynamics of a predator–prey model with opportunistic predator and weak Allee effect in prey ⋮ Dynamics complexity of generalist predatory mite and the leafhopper pest in tea plantations ⋮ Complex oscillatory patterns in a three-timescale model of a generalist predator and a specialist predator competing for a common prey ⋮ Bifurcation analysis in a host-generalist parasitoid model with Holling II functional response ⋮ Biological control in a simple ecological model via subcritical Hopf and Bogdanov-Takens bifurcations

Uses Software

• Maple
• Matlab
• XPPAUT

Cites Work

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• Global stability of predator-prey interactions
• Sensitivity of the dynamics of the general Rosenzweig-Macarthur model to the mathematical form of the functional response: a bifurcation theory approach
• Simulating, Analyzing, and Animating Dynamical Systems
• THE EXTENT OF ASYMPTOTIC STABILITY
• Control of invasive hosts by generalist parasitoids
• Elements of applied bifurcation theory