Blow-up of a general Keller-Segel system with source and damping terms (Q2822186)

In this paper fully parabolic Keller-Segel type system in a three dimensional spatial domain is studied. The authors suppose that there exist non-negative and blow-up solutions of the system under consideration of a finite time \( t^{*} \). Then they obtain the explicit lower bound \( T \) for \( t^{*} \) under suitable conditions on the coefficients, the source and dumping terms, and the spatial domain. The model which is studied in the paper - so called Keller-Segel model arises in chemotactic collapse phenomena.