Bifurcation Analysis of a Diffusive Predator–Prey Model with Bazykin Functional Response
From MaRDI portal
Publication:5236672
DOI10.1142/S0218127419501360zbMath1432.35210OpenAlexW2976605251WikidataQ115523648 ScholiaQ115523648MaRDI QIDQ5236672
Publication date: 10 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/s0218127419501360
Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Second-order parabolic systems (35K40) Pattern formations in context of PDEs (35B36)
Cites Work
- Unnamed Item
- Unnamed Item
- Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey
- Flow-distributed spikes for Schnakenberg kinetics
- Turing pattern of the Oregonator model
- Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
- Pattern formation of a coupled two-cell Brusselator model
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Global asymptotical behavior of the Lengyel-Epstein reaction-diffusion system
- Large amplitude stationary solutions to a chemotaxis system
- Diffusion and ecological problems: Modern perspectives.
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Global bifurcation and structure of Turing patterns in the 1-D Lengyel-Epstein model
- Stability analysis of Turing patterns generated by the Schnakenberg model
- Stability and instability in the Gray-Scott model: The case of equal diffusivities
- Non-constant positive steady states of the Sel'kov model.
- Diffusion, self-diffusion and cross-diffusion
- Diffusive instabilities in a one-dimensional temperature-dependent model system for a mite predator-prey interaction on fruit trees: dispersal motility and aggregative preytaxis effects
- Pattern formation in the Gray-Scott model
- Positive steady-state solutions of the Sel'kov model
- Positive solutions of a diffusive Leslie-Gower predator-prey model with Bazykin functional response
- Qualitative analysis of steady states to the Sel'kov model
- Mesa-type patterns in the one-dimensional Brusselator and their stability
- Global Dynamics of the Oregonator System
- On stationary patterns of a reaction–diffusion model with autocatalysis and saturation law
- Turing Pattern Formation in the Brusselator Model with Superdiffusion
- Pattern Generation in Space and Aspect
- Pattern formation in the one-dimensional Gray - Scott model
- Spatial Ecology via Reaction‐Diffusion Equations
- A priori bounds and global existence of solutions of the steady-state Sel'kov model
- The chemical basis of morphogenesis
- The Existence and Stability of Asymmetric Spike Patterns for the Schnakenberg Model
- Turing patterns in the Lengyel-Epstein system for the CIMA reaction
- Pattern formations in two-dimensional Gray-Scott model: Existence of single-spot solutions and their stability
