The existence of steady states for a bimolecular model with autocatalysis and saturation law

DOI10.1007/S00033-018-1024-8zbMath1401.35191OpenAlexW2890503301WikidataQ114852542 ScholiaQ114852542MaRDI QIDQ1990650

Hongling Jiang, Zhaoying Wei, Hai-Xia Li, Yan-Ling Li, Wen-Bin Yang

Publication date: 25 October 2018

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-018-1024-8

zbMATH Keywords

bifurcationdegree theoryexistence and nonexistenceautocatalysis and saturation lawpositive steady statebimolecular model

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57)

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Cites Work

• Unnamed Item
• Unnamed Item
• On spatiotemporal pattern formation in a diffusive bimolecular model
• Existence and asymptotic behavior of solutions for a predator-prey system with a nonlinear growth rate
• Spatiotemporal pattern formation and multiple bifurcations in a diffusive bimolecular model
• Loops and branches of coexistence states in a Lotka--Volterra competition model
• Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: strong interaction case
• Analysis on bifurcation solutions of an atherosclerosis model
• Diffusion, self-diffusion and cross-diffusion
• Effect of cross-diffusion on the stationary problem of a predator-prey system with a protection zone
• Analysis on existence of bifurcation solutions for a predator-prey model with herd behavior
• Qualitative analysis on positive steady-states for an autocatalytic reaction model in thermodynamics
• On stationary patterns of a reaction–diffusion model with autocatalysis and saturation law
• Singular perturbations approach to the limit cycle and global patterns in a nonlinear diffusion-reaction problem with autocatalysis and saturation law
• Elliptic Partial Differential Equations of Second Order
• Bounds for the Steady-State Sel'kov Model for Arbitrarypin Any Number of Dimensions

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