论文信息 - Diffusion-mediated persistence in two-species competition Lotka-Volterra model.

Diffusion-mediated persistence in two-species competition Lotka-Volterra model.

We consider a system composed of two Lotka-Volterra patches connected by diffusion. Each patch has two competitors. Conditions for persistence of the system are given. It is proved that the system can be made persistent under appropriate diffusion coefficients ensuring the instability of boundary equilibria, even if each species is not persistent within each patch. The choice of the coefficients depends closely on the patch dynamics without diffusion.

Y Takeuchi

[1] H. I. Freedman,et al. Mathematical Models of Population Interactions with Dispersal. I: Stability of Two Habitats with and without a Predator , 1977 .

[2] G. T. Vickers,et al. A criterion for permanent coexistence of species, with an application to a two-prey one-predator system , 1983 .

[3] H. I. Freedman,et al. Persistence in models of three interacting predator-prey populations , 1984 .

[4] H. I. Freedman,et al. Global stability and predator dynamics in a model of prey dispersal in a patchy environment , 1989 .

[5] V. Hutson. Predator mediated coexistence with a switching predator , 1984 .

[6] H. I. Freedman. Deterministic mathematical models in population ecology , 1982 .

[7] G. Kirlinger,et al. Permanence in Lotka-Volterra equations: Linked prey-predator systems , 1986 .

[8] J. Cowan,et al. Some mathematical questions in biology , 1974 .

[9] Eugene Seneta,et al. Non‐Negative Matrices , 1975 .

[10] H. I. Freedman,et al. Predator survival versus extinction as a function of dispersal in a predator–prey model with patchy environment , 1989 .

[11] H. I. Freedman,et al. Persistence in a model of three competitive populations , 1985 .

[12] Norihiko Adachi,et al. Existence and bifurcation of stable equilibrium in two-prey, one-predator communities , 1983 .