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Boundedness and exponential stabilization in a degenerate migration-consumption system with logistic damping

Huang, Ai et al.
arXiv (All) · Papers
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We study the no-flux problem for a taxis-type migration-consumption system with logistic damping in a bounded planar domain, where the motility function \(ϕ\) vanishes at zero and degenerates algebraically of order \(α\ge1\). We prove uniform boundedness in \(L^\infty(Ω)\times W^{1,\infty}(Ω)\) for
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