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Existence of global solutions for a cooperative cross-diffusion model with saturation

YANG Fang (Dept.Math.,Baoji Univ.Arts & Sci.,Baoji 721013,Shaanxi,China)  
Aim The global solutions for a two-species Shigesada-Kawasaki-Teramoto cooperative model with saturated item with homogeneous Neumann boundary value condition are discussed.Methods Gagliardo-Nirenberg type inequqlities and the method of energy estimate are used.Results A sufficient condition for the existence,uniqueness and uniform boundedness of global solutions is gained.Conclusion The condition means weak cooperativity of u and v.
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