Global existence and asymptotic stability in a predator-prey chemotaxis model
type: Item
instance of: scholarly article
title: Global existence and asymptotic stability in a predator-prey chemotaxis model
zbMATH Open document ID: 1436.35228
author: Shengmao Fu
author: Liangying Miao
published in: Nonlinear Analysis. Real World Applications
publication date: 2020-04-15T00:00:00Z
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7189392
zbMATH Keywords: predator-prey
zbMATH Keywords: chemotaxis
zbMATH Keywords: boundedness
zbMATH Keywords: stability
zbMATH Keywords: convergence rates
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2019.103079
OpenAlex ID: W3003722632
cites work: Initiation of slime mold aggregation viewed as an instability
cites work: Model for chemotaxis
cites work: From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
cites work: From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
cites work: Q4824324
cites work: Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
cites work: Blow-up in a chemotaxis model without symmetry assumptions
cites work: Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
cites work: A Chemotaxis System with Logistic Source
cites work: Exponential attractor for a chemotaxis-growth system of equations
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: Simultaneous finite time blow-up in a two-species model for chemotaxis
cites work: Steady states of models of microbial growth and competition with chemotaxis
cites work: Coexistence with Chemotaxis
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: Global existence and steady states of a two competing species Keller-Segel chemotaxis model
cites work: Time-periodic and stable patterns of a two-competing-species Keller-Segel chemotaxis model: effect of cellular growth
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 fully parabolic chemotaxis system with Lotka-Volterra competitive kinetics
cites work: Global solutions in a high-dimensional two-species chemotaxis model with Lotka-Volterra competitive kinetics
cites work: Boundedness in a two-species chemotaxis system
cites work: Global existence and asymptotic behavior of solutions to a predator-prey chemotaxis system with two chemicals
cites work: Global weak solutions in a PDE-ODE system modeling multiscale cancer cell invasion
cites work: Q3438091
cites work: Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
cites work: Stabilization in a chemotaxis model for tumor invasion
cites work: Q5562267
cites work: Q4354424
cites work: A diffusive logistic equation with a free boundary and sign-changing coefficient in time-periodic environment
cites work: The diffusive Beddington‐DeAngelis predator‐prey model with nonlinear prey‐taxis and free boundary
cites work: Uniform boundedness and stability of global solutions in a strongly coupled three-species cooperating model
cites work: Global existence and stability of solution of a reaction-diffusion model for cancer invasion
cites work: Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals
cites work: Q3262986
DOI: 10.1016/J.NONRWA.2019.103079
description: scientific article; zbMATH DE number 7189392