Boundedness in a two-species chemotaxis system with nonlinear resource consumption

Initial-boundary value problems for higher-order parabolic equations (35K35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)

Cites Work

Unnamed Item
Global existence to a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant
Global solutions to a chemotaxis model with consumption of chemoattractant
Convergence of global and bounded solutions of a two-species chemotaxis model with a logistic source
Boundedness and asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity
Global boundedness in a two-competing-species chemotaxis system with two chemicals
Boundedness in a chemotaxis model with oxygen consumption by bacteria
Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
Initiation of slime mold aggregation viewed as an instability
Global existence and boundedness in a higher-dimensional quasilinear chemotaxis system
Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
Boundedness and asymptotic stability of solutions to a two-species chemotaxis system with consumption of chemoattractant
Global existence and asymptotic behavior in a two-species chemotaxis system with logistic source
A new result for boundedness and stabilization in a two-species chemotaxis system with two chemicals
Global boundedness of solutions to the two-dimensional forager-exploiter model with logistic source
Boundedness and stabilization in the chemotaxis consumption model with signal-dependent motility
Asymptotic behavior in a forager-exploiter model with nonlinear resource consumption with/without general logistic sources
Global existence and stabilization in a forager-exploiter model with general logistic sources
Improvement of conditions for asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity
Boundedness in a high-dimensional forager-exploiter model with nonlinear resource consumption by two species
Boundedness and stabilization in a two-species chemotaxis system with signal absorption
Global existence for a class of chemotaxis-consumption systems with signal-dependent motility and generalized logistic source
Global existence and boundedness of a forager-exploiter system with nonlinear diffusions
Boundedness in a parabolic-parabolic chemotaxis system with nonlinear diffusion
Boundedness of classical solutions for a chemotaxis model with consumption of chemoattractant
Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
On the global existence of solutions to an aggregation model
Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant
Boundedness vs. blow-up in a chemotaxis system
Stabilization in a chemotaxis model for tumor invasion
Boundedness criteria for a class of indirect (and direct) chemotaxis-consumption models in high dimensions
Boundedness in a two-species chemotaxis system
Stabilization in a two-species chemotaxis system with a logistic source
Stabilization and convergence rate in a chemotaxis system with consumption of chemoattractant
Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities
Global existence and asymptotic behavior to a chemotaxis system with consumption of chemoattractant in higher dimensions
Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
On the weakly competitive case in a two-species chemotaxis model
Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food
Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties
Global bounded solution of the higher-dimensional forager–exploiter model with/without growth sources
Global solvability and asymptotic behavior in a two-species chemotaxis system with Lotka–Volterra competitive kinetics
Boundedness in a quasilinear two-species chemotaxis system with consumption of chemoattractant
Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions
Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms
Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
Global boundedness and stabilization in a forager-exploiter model with logistic growth and nonlinear resource consumption