Positive periodic solutions of Lotka-Volterra reaction-diffusion systems
type: Item
instance of: scholarly article
title: Positive periodic solutions of Lotka-Volterra reaction-diffusion systems
zbMATH Open document ID: 0754.35065
published in: Differential and Integral Equations
publication date: 1993-01-16T00:00:00Z
review text: (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.
reviewed by: Maurizio Chicco
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35K50
Mathematics Subject Classification ID: 35K60
zbMATH DE Number: 90475
zbMATH Keywords: predator-prey
zbMATH Keywords: competing
zbMATH Keywords: cooperating interactions
zbMATH Keywords: fixed point index
zbMATH Keywords: homogeneous Dirichlet boundary conditions
author: Julián López-Gómez
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 90475