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Equilibria and stabilities for competing-species reaction-diffusion equations with Dirichlet boundary data. (English) Zbl 0427.35011

MSC:
35B35 Stability in context of PDEs
35B40 Asymptotic behavior of solutions to PDEs
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
92D40 Ecology
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