Qualitative analysis for a biological depletion model

DOI10.1016/J.AMC.2021.126102OpenAlexW3133834437MaRDI QIDQ2242737

Yan'e Wang, Yao Shi, Jian-hua Wu

Publication date: 10 November 2021

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

Full work available at URL: https://doi.org/10.1016/j.amc.2021.126102

zbMATH Keywords

asymptotic stabilitybifurcationnumerical simulationdepletion model

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Systems biology, networks (92C42) Mathematical modeling or simulation for problems pertaining to biology (92-10)

Cites Work

• Unnamed Item
• Hopf bifurcation and steady-state bifurcation for an autocatalysis reaction-diffusion model
• Stability of positive constant steady states and their bifurcation in a biological depletion model
• Hopf bifurcation and Turing instability analysis for the Gierer-Meinhardt model of the depletion type
• The existence and stability of spike equilibria in the one-dimensional Gray -- Scott model on a finite domain
• On pattern formation in the Gray-Scott model
• Global attractors of the Gray-Scott equations
• On global bifurcation for quasilinear elliptic systems on bounded domains
• Point-condensation for a reaction-diffusion system
• Global bifurcation and structure of Turing patterns in the 1-D Lengyel-Epstein model
• Non-constant positive steady states of the Sel'kov model.
• Existence and stability of multiple-spot solutions for the Gray-Scott model in \(\mathbb{R}^2\)
• Multiple bifurcations and spatiotemporal patterns for a coupled two-cell Brusselator model
• Pattern formation in the Gray-Scott model
• Some global results for nonlinear eigenvalue problems
• Bifurcation from simple eigenvalues
• Pattern formation in the Brusselator system
• Steady-State Bifurcation for a Biological Depletion Model
• Non-constant steady-state solutions for Brusselator type systems
• Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
• Global Structure of Bifurcating Solutions of Some Reaction-Diffusion Systems
• Global bifurcation in the Brusselator system
• Bounds for the Steady-State Sel'kov Model for Arbitrarypin Any Number of Dimensions
• Steady-state solutions for Gierer-Meinhardt type systems with Dirichlet boundary condition
• 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

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