Logistic damping effect in chemotaxis models with density-suppressed motility
Wenbin Lyu, Zhi‐An Wang
Abstract
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.
Topics & Concepts
ChemotaxisBounded functionMotilityNeumann boundary conditionLogistic functionBoundary (topology)Mathematical analysisMathematicsDomain (mathematical analysis)ViscoelasticityFunction (biology)Logistic regressionPhysicsMedicineInternal medicineBiologyThermodynamicsStatisticsCell biologyReceptorMathematical Biology Tumor GrowthAdvanced Mathematical Modeling in EngineeringCellular Mechanics and Interactions