A quasilinear parabolic–elliptic chemotaxis-growth system with nonlinear secretion
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DOI: 10.1080/00036811.2018.1489955
Abstract: ABSTRACT This paper deals with the parabolic–elliptic chemotaxis-growth system with nonlinear secretion under homogeneous Neumann boundary conditions in a bounded domain with smooth boundary, where , a>0, b>0, r>1, and is a smooth function satisfying… read more here.
Keywords: system; parabolic elliptic; growth system; system nonlinear ... See more keywords
Global asymptotic stability in a parabolic–elliptic chemotaxis system with competitive kinetics and loop
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DOI: 10.1080/00036811.2020.1783536
Abstract: This paper deals with the initial-boundary value problem for the two-species chemotaxis-competition system with two signals ∂ t u 1 = Δ u 1 − χ 11 ∇ ⋅ ( u 1 ∇ v 1… read more here.
Keywords: system; parabolic elliptic; elliptic chemotaxis; asymptotic stability ... See more keywords