| Abstract: |
| It is well known that critical exponents distinguishing between existence and blow-up have been established for the Keller-Segel chemotaxis system with flux limitation and with nonlinear signal production respectively. On this basis, we have obtained a critical parameter differentiating global existence from finite-time blow-up when this model combined with flux limitation and nonlinear signal production. This is an extension of previous results, and the monotonicity of the first solution component is the key gradient having this result. |
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