Boundedness in a chemotaxis system with nonlinear signal production

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Dissipative Gradient Nonlinearities Prevent δ$\delta$ ‐Formations in Local and Nonlocal Attraction–Repulsion Chemotaxis Models (2024, unknown): “On the contrary, for chemotaxis models with nonlinear segregation, such as the ones under our focus, uniform-in-time boundedness of all solutions to problem (4) with the choice P ( v, u ) , is shown in [31].”
A critical blow-up exponent in a chemotaxis system with nonlinear signal production (2018, background): “3) under the assumption that f satisfies f(u) ≤ Ku for all u ≥ 1 with some κ < 2 n ([32]).”