A new approach toward stabilization in a two-species chemotaxis model with logistic source
type: Item
instance of: scholarly article
title: A new approach toward stabilization in a two-species chemotaxis model with logistic source
zbMATH Open document ID: 1409.92024
author: Ke Lin
author: Hua Zhong
author: Chunlai Mu
publication date: 2019-03-25T00:00:00Z
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 7041027
zbMATH Keywords: chemotaxis
zbMATH Keywords: logistic source
zbMATH Keywords: boundedness
zbMATH Keywords: asymptotic stability
MaRDI profile type: Publication
full work available at URL: j.camwa.2017.10.007
OpenAlex ID: W2766474649
cites work: Initiation of slime mold aggregation viewed as an instability
cites work: Q4824324
cites work: Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
cites work: Q4381941
cites work: On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
cites work: Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
cites work: Q4398321
cites work: Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
cites work: Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
cites work: Exponential attractor for a chemotaxis-growth system of equations
cites work: Convergence rate estimates of solutions in a higher dimensional chemotaxis system with logistic source
cites work: Spatial pattern formation in a chemotaxis-diffusion-growth model
cites work: How strong a logistic damping can prevent blow-up for the minimal Keller-Segel chemotaxis system?
cites work: A Chemotaxis System with Logistic Source
cites work: Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
cites work: Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
cites work: Global dynamics in a fully parabolic chemotaxis system with logistic source
cites work: Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source
cites work: Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
cites work: Persistence of mass in a chemotaxis system with logistic source
cites work: Chemotaxis can prevent thresholds on population density
cites work: How far can chemotactic cross-diffusion enforce exceeding carrying capacities?
cites work: Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems
cites work: Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
cites work: Boundedness and blow-up for a chemotaxis system with generalized volume-filling effect and logistic source
cites work: A blow-up result for a quasilinear chemotaxis system with logistic source in higher dimensions
cites work: Q4274312
cites work: A user's guide to PDE models for chemotaxis
cites work: Multi-components chemotactic system in the absence of conflicts
cites work: Threshold condition for global existence and blow-up to a radially symmetric drift-diffusion system
cites work: Remarks on the blowup and global existence for a two species chemotactic Keller–Segel system in2
cites work: Blowup in higher dimensional two species chemotactic systems
cites work: Blowup and self-similar solutions for two-component drift-diffusion systems
cites work: Simultaneous finite time blow-up in a two-species model for chemotaxis
cites work: Q451124
cites work: Finite-time blow-up in higher dimensional fully-parabolic chemotaxis system for two species
cites work: Boundedness in a two-species chemotaxis system
cites work: Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
cites work: Boundedness and asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity
cites work: Convergence of global and bounded solutions of a two-species chemotaxis model with a logistic source
cites work: On a Two Species Chemotaxis Model with Slow Chemical Diffusion
cites work: Asymptotic stability of a two species chemotaxis system with non-diffusive chemoattractant
cites work: Global existence and asymptotic stability of solutions to a two-species chemotaxis system with any chemical diffusion
cites work: Time-periodic and stable patterns of a two-competing-species Keller-Segel chemotaxis model: effect of cellular growth
cites work: Global existence and steady states of a two competing species Keller-Segel chemotaxis model
cites work: Qualitative analysis of a Lotka-Volterra competition system with advection
cites work: Global existence and asymptotic properties of the solution to a two-species chemotaxis system
cites work: Global bounded solutions and their asymptotic properties under small initial data condition in a two-dimensional chemotaxis system for two species
cites work: Boundedness in a full parabolic two-species chemotaxis system
cites work: Stabilization in a two-species chemotaxis system with a logistic source
cites work: On the weakly competitive case in a two-species chemotaxis model
cites work: Competitive exclusion in a two-species chemotaxis model
cites work: On a parabolic-elliptic system with chemotaxis and logistic type growth
cites work: On a comparison method to reaction-diffusion systems and its applications to chemotaxis
cites work: Decay to Uniform States in Ecological Interactions
cites work: Asymptotic behavior of a competition—diffusion system in population dynamics
cites work: Diffusion, self-diffusion and cross-diffusion
cites work: Q3438091
cites work: Stability of solutions of chemotaxis equations in reinforced random walks
DOI: 10.1016/J.CAMWA.2017.10.007
published in: Computers & Mathematics with Applications