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This paper deals with unbounded solutions to a class of chemotaxis systems.In particular, for a rather general attraction-repulsion model, with nonlinearproductions, diffusion, sensitivities and logistic term, we detect Lebesguespaces where given unbounded solutions blow-up also in the corresponding normsof those spaces; subsequently, estimates for the blow-up time are established.Finally, for a simplified version of the model, some blow-up criteria areproved.

Properties of given and detected unbounded solutions to a class of chemotaxis models