Global boundedness and asymptotic behavior of solutions for a quasilinear chemotaxis model of multiple sclerosis with nonlinear signal secretion

<p style='text-indent:20px;'>The paper deals with the quasilinear parabolic-parabolic-ODE and parabolic-elliptic-ODE chemotaxis system with nonlinear signal secretion for multiple sclerosis and Boló's concentric sclerosis, respectively. Under appropriate assumptions on parameter, we study the global boundedness and asymptotic behavior of classical solutions to the problem. Our results improve or extend some results in [<xref ref-type="bibr" rid="b13">13</xref>] and [<xref ref-type="bibr" rid="b12">12</xref>].</p>