Three-Dimensional Bifurcation Analysis of a Predator-Prey Model with Uncertain Formulation

DOI10.1137/18M1189257zbMath1414.34031OpenAlexW2919605649WikidataQ115525594 ScholiaQ115525594MaRDI QIDQ4627156

David Nerini, Clement Aldebert, Mathias Gauduchon, Jean-Christophe Poggiale, Bob W. Kooi

Publication date: 7 March 2019

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1189257

zbMATH Keywords

functional responsebifurcation analysispopulation modelsstructural sensitivitycodimension-three Bogdanov-Takens bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Normal forms for dynamical systems (37G05) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (6)

Global analysis in Bazykin's model with Holling II functional response and predator competition ⋮ Stochastic analysis of a predator-prey model with modified Leslie-Gower and Holling type II schemes ⋮ Stability and dynamical bifurcation of a stochastic regime-switching predator-prey model ⋮ Threshold dynamics of stochastic H7N9 model with Markov switching and hybrid strategy ⋮ An Organizing Center of Codimension Four in a Predator-Prey Model with Generalist Predator: From Tristability and Quadristability to Transients in a Nonlinear Environmental Change ⋮ Bifurcation analysis of the predator-prey model with the Allee effect in the predator

Uses Software

• MATCONT
• AUTO
• CL_MATCONT

Cites Work

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