Global boundedness and asymptotic behavior of the chemotaxis system for alopecia areata with singular sensitivity (Q6568879)
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scientific article; zbMATH DE number 7878052
| Language | Label | Description | Also known as |
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| English | Global boundedness and asymptotic behavior of the chemotaxis system for alopecia areata with singular sensitivity |
scientific article; zbMATH DE number 7878052 |
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Global boundedness and asymptotic behavior of the chemotaxis system for alopecia areata with singular sensitivity (English)
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8 July 2024
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In this paper, the authors studied a three-component chemotaxis system for alopecia areata with singular sensitivity under the homogeneous Neumann boundary conditions in a smoothly bounded two-dimensional domain. Under some suitable assumptions, they proved that this system admits a globally bounded classical solution, which converges to the constant steady state.\N\NThe proof of the main results utilizes various tools from prior literature on simpler systems, but it also contains several original ideas that have been meticulously developed, particularly in the arguments. Moreover, the analysis is very solid.
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chemotaxis
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singular sensitivity
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boundedness
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asymptotic behavior
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