ABSTRACT
This paper studies a fully parabolic chemotaxis system with competitive kinetics and fractional diffusion of order
on two dimensional periodic torus
. It is proved that (Equation1
(1)
(1) ) has a unique global bounded solution for all appropriately regular nonnegative initial data
and
. Moreover, if
and
(
or
) are large enough, we can reach the following conclusions by constructing appropriate energy functional:
(i)
uniformly in
as
.
(ii)
uniformly in
as
.
(iii)
uniformly in
as
.
Disclosure statement
No potential conflict of interest was reported by the author(s).