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arXiv · 2110.12164

Improvements and generalizations of results concerning attraction-repulsion chemotaxis models

Silvia Frassu·Tongxing Li·Giuseppe Viglialoro
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Abstract

We enter the details of two recent articles concerning as many chemotaxis models, one nonlinear and the other linear, and both with produced chemoattractant and saturated chemorepellent. These works, when properly analyzed, leave open room for some improvement of their results. We generalize the outcomes of the mentioned articles, establish other statements and put all the claims together; in particular, we select the sharpest ones and schematize them. Moreover, we complement our research also when logistic sources are considered in the overall study.

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Silvia Frassu, Tongxing Li, Giuseppe Viglialoro. 2021-10-23. Improvements and generalizations of results concerning attraction-repulsion chemotaxis models. https://doi.org/10.1002/mma.8437

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