论文信息 - Coexistence problem for two competing species models with density-dependent diffusion

Coexistence problem for two competing species models with density-dependent diffusion

We study the pattern formation of the Gause-Lotka-Volterra system of competition and nonlinear diffusion. This problem is related to segregation patterns between two competing species. It is shown that coexistence is possible by the effect of cross-population pressure in the situation where the inter-specific competition is stronger than the intra-specific one.

[1] P. J. Hughesdon,et al. The Struggle for Existence , 1927, Nature.

[2] A picture of the global bifurcation diagram in ecological interacting and diffusing systems , 1982 .

[3] Masahisa Tabata,et al. Multiple Solutions of Two-Point Boundary Value Problems of Neumann Type with a Small Parameter , 1980 .

[4] 西浦廉政,et al. Global structure of bifurcating solutions of some reaction-diffusion systems , 1982 .

[5] N. Shigesada,et al. Spatial segregation of interacting species. , 1979, Journal of theoretical biology.

[6] S. Levin. Dispersion and Population Interactions , 1974, The American Naturalist.

[7] Global Bifurcation Diagram in Nonlinear Diffusion Systems , 1983 .

[8] Hiroshi Matano,et al. Pattern Formation in Competition-Diffusion Systems in Nonconvex Domains , 1983 .

[9] Paul C. Fife,et al. Semilinear elliptic boundary value problems with small parameters , 1973 .

[10] Kazuo Kishimoto,et al. Instability of non-constant equilibrium solutions of a system of competition-diffusion equations , 1981 .

[11] Masayasu Mimura,et al. Spatial segregation in competitive interaction-diffusion equations , 1980 .