Large time behavior to a chemotaxis–consumption model with singular sensitivity and logistic source
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DOI: 10.1002/mma.6971
Abstract: This paper studies the chemotaxis–consumption model with singular sensitivity and logistic source ut=△u−χ∇·f(u)v∇v+κu−μu2x∈Ω,t>0,vt=ϵ△v−g(u)v,x∈Ω,t>0, under homogenous Neumann boundary condition in a smooth bounded domain Ω⊂ℝn(n≥2) , with positive parameters χ, ϵ, μ, and f(u) ≃ uα, g(u) ≃ uβ for α∈ℝ and… read more here.
Keywords: sensitivity logistic; consumption model; model singular; singular sensitivity ... See more keywords
Global dynamics for an attraction-repulsion chemotaxis model with logistic source
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DOI: 10.1016/j.jde.2019.10.027
Abstract: Abstract In this paper, we investigate attraction-repulsion chemotaxis system with logistic source under homogeneous Neumann boundary conditions in a bounded domain with smooth boundary. Under appropriate regularity assumptions on the initial data, by some L… read more here.
Keywords: repulsion chemotaxis; attraction repulsion; logistic source;
Boundedness and asymptotic behavior to a chemotaxis-fluid system with singular sensitivity and logistic source
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DOI: 10.1016/j.jmaa.2019.123748
Abstract: Abstract In this paper, we consider the following chemotaxis-fluid model with singular sensitivity and logistic source { n t + u ⋅ ∇ n = Δ n − χ ∇ ⋅ ( n c ∇… read more here.
Keywords: chemotaxis fluid; sensitivity logistic; singular sensitivity; logistic source ... See more keywords
Global existence of bounded solutions for a quasilinear chemotaxis system with logistic source
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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