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Zbl 0754.35065
López-Gómez, Julián
Positive periodic solutions of Lotka-Volterra reaction-diffusion systems. (English)
[J] Differ. Integral Equ. 5, No.1, 55-72 (1992). ISSN 0893-4983

(From the author's abstract:) A general existence result of positive solutions in both components for the Lotka-Volterra R-D systems with time periodic and spatially dependent coefficients is given. Predator-prey, competing and cooperating interactions are included in the abstract framework. The fixed point index is used to prove the main result. Optimal coexistence results for the associated elliptic model subject to homogeneous Dirichlet boundary conditions and allowing the various coefficients in the model to be spatial dependent are also obtained.
[M.Chicco (Genova)]

MSC 2000:: *35K57 Reaction-diffusion equations
35B10 Periodic solutions of PDE
35K50 Systems of parabolic equations, boundary value problems
35K60 (Nonlinear) BVP for (non)linear parabolic equations

Keywords: predator-prey; competing; cooperating interactions; fixed point index; homogeneous Dirichlet boundary conditions

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