A nonlinear attraction-repulsion Keller-Segel model with double sublinear absorptions: criteria toward boundedness

TL;DR

This paper extends existing Keller-Segel models by incorporating nonlinear effects and logistic perturbations, providing new criteria for the boundedness of solutions in attraction-repulsion systems with double saturation.

Contribution

It introduces a generalized nonlinear Keller-Segel model with double saturation and establishes boundedness criteria under these more complex conditions.

Findings

Derived new boundedness criteria for nonlinear attraction-repulsion Keller-Segel systems.

Extended previous linear models to include nonlinear effects and logistic perturbations.

Provided theoretical conditions ensuring solution boundedness in complex chemotaxis models.

Abstract

This paper generalizes and extends to the case of nonlinear effects and logistic perturbations some results recently developed in the literature where, for the linear counterpart and in absence of logistics, criteria toward boundedness for an attraction-repulsion Keller-Segel system with double saturation are derived.