Global Solutions in the Species Competitive Chemotaxis System with Inequal Diffusion Rates

This paper is devoted to studying the two-species competitive chemotaxis system with signal-dependent chemotactic sensitivities and inequal diffusion rates u1t=Δu1-∇·u1χ1v∇v+μ1u11-u1-a1u2, x∈Ω,  t>0, u2t=Δu2-∇·u2χ2v∇v+μ2u21-a2u1-u2, x∈Ω,  t>0, vt=τΔv-γv+u1+u2, x∈Ω,  t>0, under homogeneous N...

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Bibliographic Details
Main Author: Huaihuo Cao
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2016/5015246