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