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Numerical analysis of a three-species chemotaxis model - MaRDI portal

Numerical analysis of a three-species chemotaxis model (Q2192547)

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Numerical analysis of a three-species chemotaxis model
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    Numerical analysis of a three-species chemotaxis model (English)
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    17 August 2020
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    The authors consider a chemotaxis system with reaction terms describing evolution of three species: a prey, a predator and a super-predator, coupled with three elliptic equations for diffusion of chemicals. A finite volume numerical scheme is proposed, and convergence of approximating solutions is shown. Discrete Sobolev type embedding inequalities and a space-time \(L^1\) type compactness argument are used.
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    finite volume method
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    chemotaxis model for three species
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    reaction-diffusion
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