We consider a parabolic-elliptic system of partial differential equations modelling the chemotaxis. We assume that the concentration of the organisms cannot exceed a limit value A. Consequently, a free boundary can exist separating a region where A = A from the region where A < A. In this paper we generalize the results of our privious study of the one-dimensional free boundary problem to the two-and three-dimensional radial symmetric cases.
|Original language||English GB|
|Journal||Advances in Mathematical Sciences and Applications|
|State||Published - 2002|