Global Classical Solutions for a Chemotaxis System of Attraction–Repulsion With Singular Sensitivity

ABSTRACT This paper examines the singular sensitive parabolic attraction–repulsion chemotaxis system with two chemicals subjected to the Neumann boundary condition. Two chemical substances impact the species involved in this biological process. Both signals come from the same species, but a higher concentration of one attracts the species while a lesser concentration repels it. Using the energy estimate approach, we explore the global existence of classical solutions of the proposed model in a spatial domain with a dimension greater than one.