Positive solutions to general elliptic competition models


We give necessary and sufficient conditions for the coexistence of strictly positive solutions for the system - δu = u [f(u)- g(v)] -δv=v[b(v)-a(u)], m Ω (u, v)∂Ω = (0, 0). This system is the general model for the steady state of a competitive interacting system. The coexistence is closely related to the spectral properties of certain differential operators of Schriidinger type. Many previously known results of this type follow easily from our results. © 1991, Khayyam Publishing. All rights reserved.

Publication Title

Differential and Integral Equations

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