Spatial Patterns of a Predator–Prey Model with Beddington–DeAngelis Functional Response
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Publication:5237509
DOI10.1142/S0218127419501451zbMath1432.35208OpenAlexW2980884268WikidataQ115523639 ScholiaQ115523639MaRDI QIDQ5237509
Publication date: 18 October 2019
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127419501451
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Pattern formations in context of PDEs (35B36)
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Pattern formation in a diffusive predator-prey system with cross-diffusion effects, Spatiotemporal patterns of a diffusive prey-predator model with spatial memory and pregnancy period in an intimidatory environment
Cites Work
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- Dynamics of a diffusive predator-prey system with a nonlinear growth rate for the predator
- Spatial degeneracy vs functional response
- Hopf bifurcation and Turing instability in spatial homogeneous and inhomogeneous predator-prey models
- Qualitative analysis of predator-prey models with Beddington-De Angelis functional response and diffusion
- Global bifurcation analysis and pattern formation in homogeneous diffusive predator-prey systems
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: strong interaction case
- Global analysis of the predator--prey system with Beddington-DeAngelis functional response.
- Uniqueness of limit cycles of the predator-prey system with Beddington-DeAngelis functional response.
- Positive steady-state solutions of the Noyes--Field model for Belousov--Zhabotinskii reaction.
- Combined effects of the spatial heterogeneity and the functional response
- Bifurcation of positive solutions for a three-species food chain model with diffusion
- Stationary patterns of a diffusive predator-prey model with Crowley-Martin functional response
- Uniqueness and global stability of positive stationary solution for a predator-prey system
- Persistence and bifurcation of degenerate solutions
- Strong Allee effect in a diffusive predator-prey system with a protection zone
- Stability and Turing instability in a diffusive predator-prey system with beddington-deangelis functional response
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
- Multiplicity and uniqueness of positive solutions for a predator-prey model with B-D functional response
- Bifurcation and Stability in a Delayed Predator–Prey Model with Mixed Functional Responses
- Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
- Positive steady states of the Holling–Tanner prey–predator model with diffusion
- Turing Instability and Bifurcation in a Diffusion Predator–Prey Model with Beddington–DeAngelis Functional Response
- On a Nonlocal Reaction-Diffusion Problem Arising from the Modeling of Phytoplankton Growth
- Stationary Pattern of a Ratio-Dependent Food Chain Model with Diffusion
- On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
