Boundedness of classical solutions for a chemotaxis model with consumption of chemoattractant
Sign Up to like & getrecommendations! Published in 2017 at "Comptes Rendus Mathematique"
DOI: 10.1016/j.crma.2017.04.009
Abstract: Abstract In this paper, we study the chemotaxis system: { u t = ∇ ⋅ ( ξ ∇ u − χ u ∇ v ) , x ∈ Ω , t > 0 , v… read more here.
Keywords: consumption chemoattractant; solutions chemotaxis; classical solutions; chemotaxis model ... See more keywords
Boundedness and global solvability to a chemotaxis model with nonlinear diffusion
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.06.034
Abstract: Abstract In this paper, we study a chemotaxis model with nonlinear diffusion Δ u m ( m > 1 ). We consider this problem in a bounded domain Ω ⊂ R 3 with zero-flux boundary… read more here.
Keywords: model nonlinear; boundedness global; chemotaxis model; nonlinear diffusion ... See more keywords
Optimal decay rates for a chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate
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DOI: 10.1016/j.jde.2019.08.050
Abstract: Abstract We consider a Keller-Segel type chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate. It is a 2 × 2 reaction-diffusion system describing the interaction of cells and a chemical signal. We… read more here.
Keywords: sensitivity density; growth logarithmic; logistic growth; chemotaxis model ... See more keywords
Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility
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DOI: 10.1016/j.jde.2021.07.029
Abstract: Abstract Global existence is established for classical solutions to a chemotaxis model with signal-dependent motility for a general class of motility functions γ which may in particular decay in an arbitrary way at infinity. Assuming… read more here.
Keywords: model signal; motility; signal dependent; chemotaxis model ... See more keywords
Pattern formation for a volume-filling chemotaxis model with logistic growth
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DOI: 10.1016/j.jmaa.2016.11.040
Abstract: Abstract This paper is devoted to investigating the pattern formation of a volume-filling chemotaxis model with logistic cell growth. We first apply the local stability analysis to establish sufficient conditions of destabilization for the uniform… read more here.
Keywords: pattern formation; filling chemotaxis; formation volume; case ... See more keywords