Logistic damping effect in chemotaxis models with density-suppressed motility

Wenbin Lyu; Zhi-An Wang

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arXiv · 2111.11669

Logistic damping effect in chemotaxis models with density-suppressed motility

Wenbin Lyu·Zhi-An Wang

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Abstract

This paper is concerned with a parabolic-elliptic chemotaxis model with density-suppressed motility and general logistic source in an $n$-dimensional smooth bounded domain with Neumann boundary conditions. Under the minimal conditions for the density-suppressed motility function, we explore how strong the logistic damping can warrant the global boundedness of solutions, and further establish the asymptotic behavior of solutions on top of the conditions.

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Wenbin Lyu, Zhi-An Wang. 2021-11-23. Logistic damping effect in chemotaxis models with density-suppressed motility. https://arxiv.org/abs/2111.11669

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