220 citations · 387 across the 32 of their papers we have counts for
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Global boundedness of a two-species attraction-attraction chemotaxis model with bilinear boundary influx
Gurusamy Arumugam, Silvia Frassu, Kwancheol Shin +1
Since its introduction, the Keller--Segel model has become a cornerstone in the mathematical theory of chemotaxis and it has generated extensive analytical activity. Most studies c…
Uniform boundedness for the two-dimensional Keller-Segel system with Gompertz growth
Nohayla Alaoui, Mohamed Halloumi, Giuseppe Viglialoro
It is known that in two dimensions the classical Keller-Segel model can lead to cell aggregation. This behavior can be controlled by adding a logistic growth term with quadratic de…
Nonlocal logistics and nonlinear productions in an attraction-repulsion chemotaxis model: analysis of the global well-posedness
Rafael Díaz Fuentes, María Victoria Redondo Neble, Giuseppe Viglialoro
This paper investigates a {three-component} chemotaxis system involving both attraction and repulsion effects, as well as a nonlocal logistic-type source term. Mathematically, if $…