Mathematical analysis and stability of a chemotaxis model with logistic term.

摘要

In this paper we study a non-linear system of dierential equations arising in chemotaxis. The system consists of a PDE that describes the evolution of a population and an ODE which models the concentration of a chemical substance. We study the number of steady states under suitable assumptions, theudexistence of one global solution to the evolution problem in terms of weak solutions and the stability of the steady states.