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 existence to a chemotaxis-consumption model with nonlinear diffusion and singular sensitivity
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DOI: 10.1080/00036811.2018.1478083
Abstract: ABSTRACT This paper deals with the chemotaxis-consumption model with singular sensitivity and nonlinear diffusion under the homogenous Neumann boundary condition in a smooth-bounded domain , with positive parameters and , , for , m>1 and… read more here.
Keywords: consumption model; singular sensitivity; nonlinear diffusion; chemotaxis consumption ... See more keywords
Boundedness in a two-species chemotaxis-consumption system with nonlinear diffusion and sensitivity
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DOI: 10.1080/00036811.2020.1721478
Abstract: This paper deals with the following two-species chemotaxis system ut=∇⋅(D1(u)∇u)−∇⋅(S1(u)∇w)+μ1u(1−u−a1v),x∈Ω, t>0,vt=∇⋅(D2(v)∇v)−∇⋅(S2(v)∇w)+μ2v(1−a2u−v),x∈Ω, t>0,wt=Δw−(u+v)w,x∈Ω, t>0 with homoge... read more here.
Keywords: boundedness two; chemotaxis consumption; consumption system; species chemotaxis ... See more keywords