Special Session 30: 

Global solvability in an attraction-repulsion chemotaxis system with logistic source

Yutaro Chiyo
Tokyo University of Science
Japan
Co-Author(s):    Masaaki Mizukami, Tomomi Yokota
Abstract:
This talk deals with a fully parabolic attraction-repulsion chemotaxis system with signal-dependent sensitivity and logistic source. In the case that two sensitivity functions are constants, it is known that the attraction-repulsion chemotaxis system possesses a global classical solution. However, the system with two sensitivity functions has not been studied. The purpose of this talk is to establish global existence and boundedness of classical solutions to a fully parabolic attraction-repulsion chemotaxis system with signal-dependent sensitivity and logistic source.