220 citations · 387 across the 32 of their papers we have counts for
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Boundedness through nonlocal dampening effects in a fully parabolic chemotaxis model with sub and superquadratic growth
Yutaro Chiyo, Fatma Ga mze D Düzgün, Silvia Frassu +1
This work deals with a chemotaxis model where an external source involving a sub and superquadratic growth effect contrasted by nonlocal dampening reaction influences the motion of…
A Keller-Segel type taxis model with ecological interpretation and boundedness due to gradient nonlinearities
Sachiko Ishida, Johannes Lankeit, Giuseppe Viglialoro
We introduce a novel gradient-based damping term into a Keller-Segel type taxis model with motivation from ecology and consider the following system equipped with homogeneous Neuma…
Properties of given and detected unbounded solutions to a class of chemotaxis models
Alessandro Columbu, Silvia Frassu, Giuseppe Viglialoro
This paper deals with unbounded solutions to a class of chemotaxis systems. In particular, for a rather general attraction-repulsion model, with nonlinear productions, diffusion, s…