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Global dynamics for an attraction-repulsion chemotaxis model with logistic source

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0 Published in 2020 at "Journal of Differential Equations"

DOI: 10.1016/j.jde.2019.10.027

Abstract: Abstract In this paper, we investigate attraction-repulsion chemotaxis system with logistic source under homogeneous Neumann boundary conditions in a bounded domain with smooth boundary. Under appropriate regularity assumptions on the initial data, by some L… read more here.

Keywords: repulsion chemotaxis; attraction repulsion; logistic source;

A new result on existence of global bounded classical solution to a attraction-repulsion chemotaxis system with logistic source

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0 Published in 2021 at "Journal of Differential Equations"

DOI: 10.1016/j.jde.2021.06.040

Abstract: Abstract This paper concerns the existence of bounded classical solutions to the attraction-repulsion chemotaxis system with logistic source (⋆) { u t = Δ u − χ ∇ ⋅ ( u ∇ v ) +… read more here.

Keywords: attraction repulsion; repulsion chemotaxis; chemotaxis system; bounded classical ... See more keywords

An attraction-repulsion chemotaxis system with nonlinear productions

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0 Published in 2020 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2019.123703

Abstract: Abstract This paper studies the semilinear attraction-repulsion chemotaxis system with nonlinear productions and logistic source: u t = Δ u − χ ∇ ⋅ ( u ∇ v ) + ξ ∇ ⋅ ( u… read more here.

Keywords: nonlinear productions; repulsion chemotaxis; attraction repulsion; chemotaxis system ... See more keywords

Finite-time blow-up in the three-dimensional fully parabolic attraction-dominated attraction-repulsion chemotaxis system

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0 Published in 2021 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2021.125409

Abstract: Abstract We show that the attraction-repulsion chemotaxis system { u t = Δ u − χ ∇ ⋅ ( u ∇ v 1 ) + ξ ∇ ⋅ ( u ∇ v 2 ) ∂… read more here.

Keywords: finite time; attraction repulsion; repulsion chemotaxis; chemotaxis system ... See more keywords

Global Weak Solution in a p-Laplacian Attraction-Repulsion Chemotaxis System with Nonlinear Sensitivity and Signal Production

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0 Published in 2025 at "Axioms"

DOI: 10.3390/axioms14080642

Abstract: This paper is devoted to a p-Laplacian attraction–repulsion chemotaxis system with nonlinear sensitivity and signal production. We obtain the global existence and boundedness of weak solutions by means of energy estimates, the Aubin–Lions lemma, and… read more here.

Keywords: nonlinear sensitivity; repulsion chemotaxis; chemotaxis system; laplacian attraction ... See more keywords