Coexistence in a simple food chain with diffusion
type: Item
instance of: scholarly article
title: Coexistence in a simple food chain with diffusion
zbMATH Open document ID: 0763.92010
DOI: 10.1007/BF00173262
author: Rosa Pardo
author: Julián López-Gómez
published in: Journal of Mathematical Biology
publication date: 1992-09-27T00:00:00Z
review text: The global existence of classical positive solutions of a system of diffusion equations coupled in a linear tridiagonal manner by a source term and subject to linear mixed boundary conditions is shown. The coexistent states of the elliptic problem subject to homogeneous boundary conditions are investigated. Results are discussed in the context of a simple food chain --- plant, herbivore and carnivore populations.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 63997
zbMATH Keywords: plant
zbMATH Keywords: global existence of classical positive solutions
zbMATH Keywords: diffusion equations
zbMATH Keywords: linear mixed boundary conditions
zbMATH Keywords: coexistent states
zbMATH Keywords: elliptic problem
zbMATH Keywords: homogeneous boundary conditions
zbMATH Keywords: simple food chain
zbMATH Keywords: herbivore
zbMATH Keywords: carnivore populations
reviewed by: Nikolai L. Vulchanov
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00173262
OpenAlex ID: W8243206
description: scientific article; zbMATH DE number 63997