Stationary Solutions of a Volume-Filling Chemotaxis Model with Logistic Growth and Their Stability
From MaRDI portal
Publication:2910861
DOI10.1137/110843964zbMath1259.35031OpenAlexW2046495918MaRDI QIDQ2910861
Zhi-An Wang, Manjun Ma, Chunhua Ou
Publication date: 12 September 2012
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10397/6035
Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Cell movement (chemotaxis, etc.) (92C17) Boundary value problems for second-order elliptic systems (35J57) Pattern formations in context of PDEs (35B36)
Related Items
Traveling wave solutions to the density-suppressed motility model, Bifurcation and stability analysis of steady states to a Brusselator model, Existence and metastability of non-constant steady states in a Keller-Segel model with density-suppressed motility, Pattern formation for a two-dimensional reaction-diffusion model with chemotaxis, Patterns in a generalized volume-filling chemotaxis model with cell proliferation, Spatiotemporal pattern formation of a diffusive bimolecular model with autocatalysis and saturation law, Qualitative analysis of stationary Keller-Segel chemotaxis models with logistic growth, Global classical solvability and stabilization in a reaction-diffusion intraguild predation model with chemotaxis, Pattern formation of a diffusive predator-prey model with strong allee effect and nonconstant death rate, Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility, Demyelination patterns in a mathematical model of multiple sclerosis, Nonconstant positive solutions to the ratio-dependent predator-prey system with prey-taxis in one dimension, Global existence and spatiotemporal pattern formation of a nutrient-microorganism model with nutrient-taxis in the sediment, Radial spiky steady states of a flux‐limited Keller–Segel model: Existence, asymptotics, and stability, Stationary patterns and their selection mechanism of urban crime models with heterogeneous near-repeat victimization effect, Structure and stability of steady state bifurcation in a cannibalism model with cross-diffusion, Stability and metastability in a chemotaxis model, Nonconstant steady states in a predator-prey system with density-dependent motility, Local exact controllability to positive trajectory for parabolic system of chemotaxis, Spatiotemporal Patterns Induced by Cross-Diffusion in a Three-Species Food Chain Model, Nonlinear instability for a volume-filling chemotaxis model with logistic growth, Non-existence of stationary pattern of a chemotaxis model with logistic growth, Stationary and non-stationary patterns of the density-suppressed motility model, Global Bifurcation of Stationary Solutions for a Volume-Filling Chemotaxis Model with Logistic Growth, Treatment-induced shrinking of tumour aggregates: a nonlinear volume-filling chemotactic approach, Stability and Hopf Bifurcation in a Reaction–Diffusion Model with Chemotaxis and Nonlocal Delay Effect, Global well-posedness, pattern formation and spiky stationary solutions in a Beddington-DeAngelis competition system, Chemotaxis-driven pattern formation for a reaction-diffusion-chemotaxis model with volume-filling effect, Wavefront invasion for a volume-filling chemotaxis model with logistic growth, Existence and stability of nonconstant positive steady states of morphogenesis models, The Keller-Segel system with logistic growth and signal-dependent motility, Pattern formation for a volume-filling chemotaxis model with logistic growth, Pattern Formation in Keller–Segel Chemotaxis Models with Logistic Growth, Global existence and steady states of a two competing species Keller-Segel chemotaxis model, Global boundedness and stability for a chemotaxis model of Boló's concentric sclerosis, Pattern Formation and Transition to Chaos in a Chemotaxis Model of Acute Inflammation, Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source, Non-constant steady states for the Lengyel-Epstein system with the CIMA reaction
