Qualitative behavior of solutions for a chemotaxis-haptotaxis system with gradient-dependent flux-limitation (Q6549360)
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scientific article; zbMATH DE number 7859167
| Language | Label | Description | Also known as |
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| English | Qualitative behavior of solutions for a chemotaxis-haptotaxis system with gradient-dependent flux-limitation |
scientific article; zbMATH DE number 7859167 |
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Qualitative behavior of solutions for a chemotaxis-haptotaxis system with gradient-dependent flux-limitation (English)
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3 June 2024
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A model of chemotaxis with haptotaxis consisting of three coupled equations (parabolic, elliptic and ordinary) for \((u,v,w)\) is considered in bounded domains of \(\mathbb R^n\). A flux limitation mechanism is modeled by a gradient dependent term. Under suitable conditions existence of global-in-time solutions and exponential decay of \(w\) are shown while positive \(u\) and \(v\) persist in some sense.
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