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Dissipative gradient nonlinearities prevent $\delta$-formations in local and nonlocal attraction-repulsion chemotaxis models

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arxiv 2405.03586 v1 pith:Q5GCAWUI submitted 2024-05-06 math.AP

Tongxing Li , Daniel Acosta Soba , Alessandro Columbu , Giuseppe Viglialoro This is my paper · ORCID
classification math.AP
keywords chemotaxisgradientmodelsnonlinearitiessomeadditionallyattractionattraction-repulsion
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We study some attraction repulsion chemotaxis models, characterized by nonlinearities laws for the diffusion of the cell density, and for the chemosensitivities and the production rates of the chemoattractant and the chemorepellent. Additionally, a source also involving some expression of the gradient of the species is incorporated.

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  1. Boundedness in a nonlinear chemotaxis-consumption model with gradient terms

    math.AP 2025-01 conditional novelty 6.0 of 10

    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 unif...

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