Boundedness Of Solution In A Two-species And One-chemoattractant Keller-segel Model With Logistic Source

This paper is concerned with the global solution of a two-species and one-chemoattractant Keller-Segel model with logistic source. Under appropriate assump-tions, we prove that this model with any sufciently smooth initial data possesses aunique global-in-time classical solution which is bounded in Ω×(0,∞).