【摘 要】
：
We study global solutions of a class of chemotaxis systems {ut =(▽)·φ(μ(▽)μ)χ ▽ ·(ψ(μ)▽υ)+au-bur,χ ∈ Ω,t > 0,υt = Δυ-υ+u,x∈ Ω,t > 0,in
【机 构】
：
Beijing Inst.of Tech.
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We study global solutions of a class of chemotaxis systems {ut =(▽)·φ(μ(▽)μ)χ ▽ ·(ψ(μ)▽υ)+au-bur,χ ∈ Ω,t > 0,υt = Δυ-υ+u,x∈ Ω,t > 0,in a bounded convex domain Ω Rn(N ≥ 1)with smooth boundary(a)Ω,φ(u)=(u+1)-α,ψ(u)= u(u+1)β-1,parameters r > 1,a ≥ 0,b,x > 0 and α,β∈ R.There are three nonlinear mechanisms included in the model: the nonlinear diffusion,aggregation and logistic absorption.
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