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Boundedness in a two-species chemotaxis-consumption system with nonlinear diffusion and sensitivity

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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... Click to show full 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...

Keywords: boundedness two; chemotaxis consumption; consumption system; species chemotaxis; two species

Journal Title: Applicable Analysis
Year Published: 2020

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