Qualitative analysis on positive steady-states for an autocatalytic reaction model in thermodynamics

DOI10.3934/DCDS.2017206zbMath1371.35084OpenAlexW2623925235MaRDI QIDQ2357559

Yunfeng Jia, Yi Li, Jian-hua Wu

Publication date: 14 June 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017206

zbMATH Keywords

positive steady-state solutionsautocatalytic reaction model

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Boundary value problems for second-order elliptic systems (35J57)

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Cites Work

• Unnamed Item
• Unnamed Item
• Steady states and dynamics of an autocatalytic chemical reaction model with decay
• Quadratic autocatalysis with non-linear decay
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Pattern formation in three-dimensional reaction-diffusion systems
• Non-constant positive steady states of the Sel'kov model.
• Diffusion, self-diffusion and cross-diffusion
• Global bifurcation of coexistence state for the competition model in the chemostat
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Autocatalytic sets and biological specificity
• Some global results for nonlinear eigenvalue problems
• Stability of Traveling Front Solutions with Algebraic Spatial Decay for Some Autocatalytic Chemical Reaction Systems
• A note on the properties of a family of travelling-wave solutions arising in cubic autocatalysis
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Elliptic Partial Differential Equations of Second Order
• Oscillating wave fronts in isothermal chemical systems with arbitrary powers of autocatalysis
• A priori bounds and global existence of solutions of the steady-state Sel'kov model
• Exact Homoclinic and Heteroclinic Solutions of the Gray--Scott Model for Autocatalysis
• The chemical basis of morphogenesis
• Bounds for the Steady-State Sel'kov Model for Arbitrarypin Any Number of Dimensions
• Qualitative analysis of an autocatalytic chemical reaction model with decay
• Turing patterns in the Lengyel-Epstein system for the CIMA reaction

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