Global existence and decay estimates for the classical solution of fractional attraction-repulsion chemotaxis system
A chemotaxis model consisting of a parabolic equation with fractional diffusion and two elliptic equations for the concentrations of chemicals is studied in the whole space \(\mathbb R^n\), \(n\ge 2\). Two results on the global existence, boundedness and decay in time of solutions are proved: either when repulsion prevails over attraction or for sufficiently small initial data (and nonconstant chemotactic sensitivities).
scientific article; zbMATH DE number 7488953
scientific article