Theoretical analysis demonstrates prevention of delta-formations in attraction-repulsion chemotaxis models, highlighting stabilizing mechanisms against cellular blow-up.
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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Li et al. (2024) studied this question.
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