The existence of steady states for a bimolecular model with autocatalysis and saturation law
type: Item
instance of: scholarly article
title: The existence of steady states for a bimolecular model with autocatalysis and saturation law
zbMATH Open document ID: 1401.35191
author: Zhaoying Wei
author: Hongling Jiang
author: Wenbin Yang
author: Haixia Li
author: Yanling Li
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2018-10-25T00:00:00Z
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 6965745
zbMATH Keywords: bimolecular model
zbMATH Keywords: autocatalysis and saturation law
zbMATH Keywords: positive steady state
zbMATH Keywords: existence and nonexistence
zbMATH Keywords: bifurcation
zbMATH Keywords: degree theory
Wikidata QID: Q114852542
MaRDI profile type: Publication
full work available at URL: s00033-018-1024-8
OpenAlex ID: W2890503301
cites work: Singular perturbations approach to the limit cycle and global patterns in a nonlinear diffusion-reaction problem with autocatalysis and saturation law
cites work: On stationary patterns of a reaction–diffusion model with autocatalysis and saturation law
cites work: Spatiotemporal pattern formation and multiple bifurcations in a diffusive bimolecular model
cites work: On spatiotemporal pattern formation in a diffusive bimolecular model
cites work: Q3130975
cites work: Bounds for the Steady-State Sel'kov Model for Arbitrarypin Any Number of Dimensions
cites work: Elliptic Partial Differential Equations of Second Order
cites work: Q4354424
cites work: Qualitative analysis on positive steady-states for an autocatalytic reaction model in thermodynamics
cites work: Diffusion, self-diffusion and cross-diffusion
cites work: Effect of cross-diffusion on the stationary problem of a predator-prey system with a protection zone
cites work: Analysis on existence of bifurcation solutions for a predator-prey model with herd behavior
cites work: Existence and asymptotic behavior of solutions for a predator-prey system with a nonlinear growth rate
cites work: Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: strong interaction case
cites work: Analysis on bifurcation solutions of an atherosclerosis model
cites work: Loops and branches of coexistence states in a Lotka--Volterra competition model
DOI: 10.1007/S00033-018-1024-8
description: scientific article; zbMATH DE number 6965745