Abstract
In this paper, we consider the following chemotaxis model with ratio-dependent logistic reaction term
It is shown that the solution to the problem exists globally if b + β ≥ 0 and will blow up or quench if b + β < 0 by means of function transformation and comparison method. Various asymptotic behavior related to different coefficients and initial data is also discussed.
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Supported by the National Natural Science Foundation of China (No.11371161).
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Li, Jf., Chen, H. & Liu, Wa. Blow-up, quenching, aggregation and collapse in a chemotaxis model with reproduction term. Acta Math. Appl. Sin. Engl. Ser. 30, 617–626 (2014). https://doi.org/10.1007/s10255-014-0406-8
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DOI: https://doi.org/10.1007/s10255-014-0406-8