Multiple bifurcations in a predator--prey system with monotonic functional response

DOI10.1016/j.amc.2005.03.010zbMath1102.34031OpenAlexW1997589556WikidataQ115598638 ScholiaQ115598638MaRDI QIDQ2489405

Lin-Lin Wang, Wang-Tong Li, Yong-Hong Fan

Publication date: 28 April 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.03.010

zbMATH Keywords

saddle-node bifurcationBogdanov-Takens bifurcationqualitative analysispredator-prey-system

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (11)

Complex dynamic behavior of a discrete-time predator-prey system of Holling-III type ⋮ Bifurcations of a ratio-dependent Holling-Tanner system with refuge and constant harvesting ⋮ Bifurcation analysis of a modified Holling-Tanner predator-prey model with time delay ⋮ Bifurcations and simulations of two predator-prey models with nonlinear harvesting ⋮ On a prey-predator reaction-diffusion system with Holling type III functional response ⋮ Modeling and bifurcation research of a worm propagation dynamical system with time delay ⋮ Hopf bifurcation in an Internet worm propagation model with time delay in quarantine ⋮ Hopf bifurcation and stability of periodic solutions in a delayed eco-epidemiological system ⋮ Bogdanov-Takens and triple zero bifurcations of a delayed modified Leslie-Gower predator prey system ⋮ Bogdanov-Takens bifurcation of a delayed ratio-dependent Holling-Tanner predator prey system ⋮ Time-delayed and stochastic effects in a predator–prey model with ratio dependence and Holling type III functional response

Cites Work

• A model predator-prey system with functional response
• Elements of applied bifurcation theory.
• Existence and global stability of positive periodic solutions of a predator-prey system with delays
• Periodic solutions and permanence for a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response.
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
• Multiple bifurcation in a delayed predator-prey system with nonmonotonic functional response
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