Bogdanov-Takens bifurcation for a diffusive predator-prey system with nonlocal effect and prey refuge
DOI10.1007/s00033-022-01934-2OpenAlexW4313656381WikidataQ121913757 ScholiaQ121913757MaRDI QIDQ2679223
Publication date: 19 January 2023
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-022-01934-2
Hopf bifurcationnormal formBogdanov-Takens bifurcationprey refugenonlocal effectTuring bifurcationTuring-Turing bifurcation
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Integro-partial differential equations (35R09) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
- Unnamed Item
- Unnamed Item
- A Leslie-Gower predator-prey model with disease in prey incorporating a prey refuge
- Dynamical analysis of a prey-predator model with Beddington-DeAngelis type function response incorporating a prey refuge
- Local vs. non-local interactions in population dynamics
- Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
- Stability analysis of a prey--predator model with Holling type III response function incorporating a prey refuge
- The role of transmissible diseases in the Holling-Tanner predator-prey model
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees
- Analysis of a prey-predator model with non-local interaction in the prey population
- Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge
- Global stability and pattern formation in a nonlocal diffusive Lotka-Volterra competition model
- Stability analysis of a prey-predator model incorporating a prey refuge
- Bogdanov-Takens bifurcation in an oscillator with negative damping and delayed position feedback
- Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
- Impact of the fear effect in a prey-predator model incorporating a prey refuge
- Turing patterns in a diffusive Holling-Tanner predator-prey model with an alternative food source for the predator
- Turing-Hopf bifurcation in the reaction-diffusion equations and its applications
- Instabilities and spatiotemporal patterns behind predator invasions with nonlocal prey competition
- Delay-induced Bogdanov-Takens bifurcation in a Leslie-Gower predator-prey model with nonmonotonic functional response
- Dynamical analysis of a delayed ratio-dependent Holling-Tanner predator-prey model
- The properties of a stochastic model for the predator-prey type of interaction between two species
- An unfolding of the Takens-Bogdanov singularity
- Selection and stability of wave trains behind predator invasions in a model with non-local prey competition
- Prey-predator model with a nonlocal consumption of prey
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Pattern formation of a diffusive predator‐prey model with herd behavior and nonlocal prey competition
- A Holling–Tanner Predator–Prey Model with Strong Allee Effect
- SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
This page was built for publication: Bogdanov-Takens bifurcation for a diffusive predator-prey system with nonlocal effect and prey refuge
