Stabilization in a high‐dimensional chemotaxis system involving arbitrary superlinear degradation
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DOI: 10.1002/mma.7503
Abstract: The chemotaxis‐consumption system with generalized logistic source ut=Δu−∇·(uS(x,u,v)·∇v)+λu−μuα,x∈Ω,t>0,vt=Δv−uv,x∈Ω,t>0, is considered under homogeneous Neumann boundary conditions in a bounded smooth domain Ω⊂ℝn(n≥1) with suitably regular positive initial data. Here λ, μ > 0, α > 1 and S∈C2(Ω¯×[0,∞)2;ℝn×n) is a given… read more here.
Keywords: chemotaxis system; system; stabilization high; chemotaxis ... See more keywords
Spiky Steady States of a Chemotaxis System with Singular Sensitivity
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-017-9621-3
Abstract: This paper is concerned with the steady state problem of a chemotaxis model with singular sensitivity function in a one dimensional spatial domain. Using the chemotactic coefficient $$\chi $$χ as the bifurcation parameter, we perform… read more here.
Keywords: states chemotaxis; singular sensitivity; steady states; chemotaxis system ... See more keywords
Boundedness in a full parabolic two-species chemotaxis system
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DOI: 10.1016/j.crma.2016.10.024
Abstract: Abstract This paper is concerned with the two-species chemotaxis system { u t = △ u − ∇ ⋅ ( u χ 1 ( w ) ∇ w ) + μ 1 u ( 1… read more here.
Keywords: boundedness full; system; chemotaxis system; species chemotaxis ... See more keywords
A new result on existence of global bounded classical solution to a attraction-repulsion chemotaxis system with logistic source
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DOI: 10.1016/j.jde.2021.06.040
Abstract: Abstract This paper concerns the existence of bounded classical solutions to the attraction-repulsion chemotaxis system with logistic source (⋆) { u t = Δ u − χ ∇ ⋅ ( u ∇ v ) +… read more here.
Keywords: attraction repulsion; repulsion chemotaxis; chemotaxis system; bounded classical ... See more keywords
An attraction-repulsion chemotaxis system with nonlinear productions
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123703
Abstract: Abstract This paper studies the semilinear attraction-repulsion chemotaxis system with nonlinear productions and logistic source: u t = Δ u − χ ∇ ⋅ ( u ∇ v ) + ξ ∇ ⋅ ( u… read more here.
Keywords: nonlinear productions; repulsion chemotaxis; attraction repulsion; chemotaxis system ... See more keywords
A chemotaxis system with signal-dependent motility, indirect signal production and generalized logistic source: Global existence and asymptotic stabilization
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124108
Abstract: Abstract This work considers a chemotaxis system with signal-dependent motility in a smooth bounded domain Ω ⊂ R n . If λ ∈ R , μ > 0 and l > max { n… read more here.
Keywords: system; signal dependent; chemotaxis system; system signal ... See more keywords
Finite-time blow-up in the three-dimensional fully parabolic attraction-dominated attraction-repulsion chemotaxis system
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125409
Abstract: Abstract We show that the attraction-repulsion chemotaxis system { u t = Δ u − χ ∇ ⋅ ( u ∇ v 1 ) + ξ ∇ ⋅ ( u ∇ v 2 ) ∂… read more here.
Keywords: finite time; attraction repulsion; repulsion chemotaxis; chemotaxis system ... See more keywords
Global existence of bounded solutions for a quasilinear chemotaxis system with logistic source
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2018.09.020
Abstract: Abstract In this paper, we deal with the chemotaxis system with logistic source under homogeneous Neumann boundary conditions in a bounded convex domain with smooth boundary. Under appropriate regularity assumptions on the initial data, by… read more here.
Keywords: logistic source; system; chemotaxis system; system logistic ... See more keywords
The switch complex ArlCDE connects the chemotaxis system and the archaellum
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DOI: 10.1111/mmi.14527
Abstract: Cells require a sensory system and a motility structure to achieve directed movement. Bacteria and archaea possess rotating filamentous motility structures that work in concert with the sensory chemotaxis system. This allows microorganisms to move… read more here.
Keywords: system; chemotaxis system; switch complex; system archaellum ... See more keywords
Boundedness in a quasilinear two-species chemotaxis system with consumption of chemoattractant
Sign Up to like & getrecommendations! Published in 2019 at "Electronic Journal of Qualitative Theory of Differential Equations"
DOI: 10.14232/ejqtde.2019.1.31
Abstract: This paper deals with a two-species chemotaxis system ut = ∇ · (D1(u)∇u)−∇ · (uχ1(w)∇w) + μ1u(1− u− a1v), x ∈ Ω, t > 0, vt = ∇ · (D2(v)∇v)−∇ · (vχ2(w)∇w) + μ2v(1−… read more here.
Keywords: system; quasilinear two; boundedness quasilinear; chemotaxis system ... See more keywords
Improvement of conditions for boundedness in a fully parabolic chemotaxis system with nonlinear signal production
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DOI: 10.5802/crmath.148
Abstract: This paper deals with the chemotaxis system with nonlinear signal secretion { ut =∇· (D(u)∇u −S(u)∇v), x ∈Ω, t > 0, vt =∆v − v + g (u), x ∈Ω, t > 0, under homogeneous… read more here.
Keywords: improvement conditions; nonlinear signal; chemotaxis system; system nonlinear ... See more keywords