Stabilization in a two-species fully parabolic chemotaxis system under
small initial conditions
This paper deals with a chemotaxis system with two chemicals in a
smoothly bounded domain. It is proven that the solutions of the system
are global and bounded as well as exponentially converge to the constant
steady-state solutions under small initial conditions. The present work
extends the results that in Tao and Winkler (2015) as well as Liu and
Dai (2022) to fully parabolic chemotaxis system.