Competing effects of attraction vs. repulsion in chemotaxis

294 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Pattern Formation of the Attraction-Repulsion Keller-Segel System (2013, background): “The first cross-diffusive term in the first equation implies that the cell movement is directed up the chemo-attractant concentration, whereas the second cross-diffusive term indicates that cells move down the chemo-repellent concentration.”
Boundedness, blowup and critical mass phenomenon in competing chemotaxis (2016, methodology): “[22] H.Y. Jin, Z.A. Wang, A dual-gradient system modeling the spontaneous aggregation of Microglia in Alzheimer’s disease, preprint, 2015.”
Boundedness vs.blow-up in a two-species chemotaxis system with two chemicals (2015, background): “A combination of attractive and repulsive chemotaxis was considered mathematically in [34] in the framework of a model for a single species simultaneously secreting two different signals, and it was shown there that depending on the relative strength of both taxis types, blow-up may occur or be supp”
Dissipative Gradient Nonlinearities Prevent δ$\delta$ ‐Formations in Local and Nonlocal Attraction–Repulsion Chemotaxis Models (2024, unknown): “Focusing on evolutive equations for the chemoattractant and chemorepellent, specifically [47] establishes that in two-dimensional domains with sufficiently smooth initial data, globally bounded solutions persist over time whenever Regarding blow-up results, we are only aware of [29], where…”