Global attractors in a two-species chemotaxis system with two chemicals and logistic sources

DOI10.1016/j.jmaa.2021.125861zbMath1480.35057OpenAlexW3216024424MaRDI QIDQ2062599

Xiao He, Sining Zheng, Miaoqing Tian

Publication date: 27 December 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125861

zbMATH Keywords

boundednessglobal attractorlarge time behaviorattraction-repulsion

Mathematics Subject Classification ID

Attractors (35B41) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (1)

Global existence of solutions in two-species chemotaxis system with two chemicals with sub-logistic sources in 2d

Cites Work

• Unnamed Item
• Unnamed Item
• Global boundedness in quasilinear attraction-repulsion chemotaxis system with logistic source
• Chemotaxis can prevent thresholds on population density
• Boundedness in a three-dimensional chemotaxis-haptotaxis model
• Generalizing the Keller-Segel model: Lyapunov functionals, steady state analysis, and blow-up results for multi-species chemotaxis models in the presence of attraction and repulsion between competitive interacting species
• How far can chemotactic cross-diffusion enforce exceeding carrying capacities?
• Global existence and asymptotic properties of the solution to a two-species chemotaxis system
• Persistence of mass in a chemotaxis system with logistic source
• Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals
• Chemotaxis with logistic source: very weak global solutions and their boundedness properties
• Elliptic partial differential equations of second order
• Spatial pattern formation in a chemotaxis-diffusion-growth model
• A new result for boundedness and stabilization in a two-species chemotaxis system with two chemicals
• Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
• Asymptotic stability of a two species chemotaxis system with non-diffusive chemoattractant
• An attraction-repulsion chemotaxis system with nonlinear productions
• Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
• Boundedness vs. blow-up in a chemotaxis system
• Convergence rate estimates of solutions in a higher dimensional chemotaxis system with logistic source
• Stabilization in a two-species chemotaxis system with a logistic source
• Global solutions in a fully parabolic chemotaxis system with singular sensitivity
• Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
• Heat kernels and maximal l^p—l^qestimates for parabolic evolution equations
• Criteria on global boundedness versus finite time blow-up to a two-species chemotaxis system with two chemicals
• COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS
• Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
• A Chemotaxis System with Logistic Source

This page was built for publication: Global attractors in a two-species chemotaxis system with two chemicals and logistic sources