  This article deals with a class of chemotaxis systems describing mechanisms
from mathematical biology. In the specific, for a rather general class of
attraction-repulsion models, with nonlinear productions, diffusion,
sensitivities and logistic term, we are interested in deriving interplays on
the parameters involved in the problem capable to ensure globality and
boundedness of related solutions.
  This project is precisely contextualized in the frame of a series of results
dealing with local and nonlocal, and linear and nonlinear, attraction-repulsion
chemotaxis systems. For these problems, rooms of improvements are still open;
in this sense, this research exactly enhances and extends already known
analyses in the literature. More specifically, a direct comparison with [Jiao,
Jadlovsk\'a, Li, Nonlinear Anal. Real World Appl., 2023; Ren, Liu, Math. Models
Methods Appl. Sci., 2020; Chiyo, Yokota, Z. Angew. Math. Phys., 2022; Columbu,
Frassu, Viglialoro, Appl. Anal., 2023] is carried out.
