Logistic damping effect in chemotaxis models with density-suppressed motility

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.

Keywords

• chemotaxis
• density-suppressed motility
• logistic source
• global boundedness
• asymptotic behavior
• 35a01
• 35b35
• 35b45
• 35b51
• 35q92