| [1] Cantrell R S, Conser C. Spatial Ecology via Reaction-Diffusion Equations. New York:John Wiley and Sons, 2003
[2] Dockery J, Hutson V, Mischaikow K, Pernarowski M. The evolution of slow dispersal rates:a reaction-diffusion model. J Math Biol, 1998, 37(1):61-83
[3] He X Q, Ni W M. The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system I:heterogeneity vs. homogeneity. J Differential Equations, 2013, 254(2):528-546
[4] He X Q, Ni W M. The effects of diffusion and spatial variation in LotKa-Volterra competition-diffusion system II:the general case. J Differential Equations, 2013, 254(10):4088-4108
[5] Hess P. Periodic-Parabolic Boundary Value Problems and Positivity. New York:Pitman, 1991
[6] Hutson V, Lou Y, Mischaikow K. Spatial heterogeneity of resources versus Lotka-Volterra dynamics. J Differential Equations, 2002, 185(1):97-136
[7] Hutson V, Lou Y, Mischaikow K. Convergence in competition models with small diffusion coefficients. J Differential Equations, 2005, 211(1):135-161
[8] Hutson V, Lou Y, Mischaikow K, Polacik P. Competing species near a degenerate limit. SIAM J Math Anal, 2003, 35(2):453-491
[9] Kato T. Superconvexity of the spectral radius, and convexity of the spectral bound and the type. Math Z, 1982, 180(2):265-273
[10] Lam K Y, Ni W M. Uniqueness and complete dynamics in heterogeneous competition-diffusion systems. SIAM J Appl Math, 2012, 72(6):1695-1712
[11] Liang S, Lou Y. On the dependence of population size upon random dispersal rate. Discrete Contin Dyn Syst Ser B, 2012, 17(8):2771-2788
[12] Lou Y. On the effects of migration and spatial heterogeneity on single and multiple species. J Differential Equations, 2006, 223(2):400-426
[13] Lou Y, Martínez S, Polacik P. Loops and branches of coexistence states in a Lotka-Voltrra competition model. J Differential Equations, 2006, 230(2):720-742
[14] Lou Y, Ni W M. Diffusion, self-diffusion and cross-diffusion. J Differential Equations, 1996, 131(1):79-131
[15] Lou Y, Ni W M. Diffusion vs cross-diffusion:an elliptic approach. J Differential Equations, 1999, 154(1):157-190 |