Bibliography

1

M.W. Hirsch and S. Smale, Differential Equations, Dynamical Systems, and Linear Algebra, Academic Press, Inc., New York, N.Y., 1974.

2

M. Iida, T. Muramatsu, H. Ninomiya and E. Yanagida, Diffusion-induced extinction of a superior species in a competition system , Japan J. Indust. Appl. Math. 15 (1998), no. 2, 233-252.

3

C. S. Kahane, On the asymptotic behavior of solutions of parabolic equations under homogeneous Neumann boundary conditions, Funkcial. Ekvac., 32 (1989), 191-213.

4

Y. Kan-on and E. Yanagida, Existence of non-constant stable equilibria in competition-diffusion equations, Hiroshima Math. J., 23 (1993), 193-221.

5

H. Ninomiya, Separatrices of competition-diffusion equations, J. Math. Kyoto Univ., 35 (1995), no. 3, 539-567.

6

A. Okubo, Diffusion and Ecological Problems : Mathematical Models, Springer-Verlag, Berlin/New York, 1980.

7

M. H. Protter and H. F. Weinberger, Maximum Principles in Differential Equations, Prentice-Hall Inc., Englewood Cliffs, 1967.

8

H. F. Weinberger, Invariant sets for weakly coupled parabolic and elliptic systems, Rend. Math., 8 (1975), 295-310.

Seong-A Shim

University of Minnesota
Minneapolis
MN, 55455 USA

E-mail : shim@math.umn.edu