For a quasilinear chemotaxis-consumption system with logistic source and gradient damping, the authors derive sufficient conditions on exponents and coefficients under which every classical solution is global and uniformly bounded.
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Boundedness in a nonlinear chemotaxis-consumption model with gradient terms
For a quasilinear chemotaxis-consumption system with logistic source and gradient damping, the authors derive sufficient conditions on exponents and coefficients under which every classical solution is global and uniformly bounded.