References
- Ahmad , S and Lazer , A.C . 1988 . Asymptotic Behavior of Solutions of Periodic Competition Diffusion Systems . Sonderforschungsbereich , 72 : 783
- Chipot , M and Hale , J . 1983 . Stable equilibria with variable diffusion, in Nonlinear Partial Differential Equations . Contemporary Mathematics , 17 : 209 – 213 .
- Hess , P . 1987 . Spatial homogeneity of stable solutions of some periodic parabolic problems with Neumann boundary conditions . J. Diff. Eqs , 68 : 320 – 331 .
- Kishimoto , K and Weinberger , H.F . 1985 . The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domain . J. Differential Equations , 58 : 15 – 21 .
- Kolesov , Ju.S . 1966 . A test for the existence of periodic solutions to parabolic equations . Soviet Math. Dokl , 7 : 1318 – 1320 .
- Lazer , A . 1982 . Some remarks on periodic solutions of parabolic differential equations. Dynamical Systems II , 227 – 346 . New York : Academic Press .
- Leung , A . 1980 . Equilibria and stabilities for competing-species reaction-diffusion equations with Dirichlet boundary data . J. Math. Anal. Appl , 73 : 204 – 218 .
- Leung , A . 1981 . Stabilities for equilibria of competing-species reaction-diffusion equations with homogeneous Dirichlet condition . Funkcialaj Ekvacioj , 24 : 201 – 210 .
- Leung , A . 1982 . Monotone schemes for semilinear elliptic systems related to ecology . Math. Meth. in the Appl. Sci , 4 : 272 – 285 .
- Ortega , L.S . 1983 . A Sturmian theorem for parabolic operators with periodic coefficients and applications , Ph.D thesis. Dept. of Math. Univ. of Cincinnati .
- Pao , C.V . 1981 . Co-existence and stability of a competition-diffusion system in population dynamics . J. Math. Anal. Appl , 83 : 54 – 76 .
- Tsai , L.Y . 1977 . Periodic solutions of nonlinear parabolic differential equations . Bulletin Inst. Math. Academia Sinica , 5 : 219 – 247 .
- Zhou , L and Pao , C.V . 1982 . Asympototic behaviour of a competition-diffusion system in population dynamics . J. Nonlinear Analysis , 6 : 1163 – 84 .
- Leung , A . 1989 . Systems of Nonlinear Partial Differential Equations. Application to Biology and Engineering. Mathematics and its Applications , Dordrecht/ Boston/London : Kluwer Academic Publishers .