Logistic damping effect in chemotaxis models with density-suppressed motility

By Wenbin Lyu, Zhian Wang. Advances in Nonlinear Analysis, 2021

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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.

Subfields: Cell Biology, Computational Theory and Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/bcc58f8a654967e3e6409bbe23cb988119705e97