A predator-prey system with \(L^{1}\) data
type: Item
instance of: scholarly article
title: A predator-prey system with \(L^{1}\) data
zbMATH Open document ID: 1012.35038
DOI: 10.1016/S0022-247X(02)00556-5
author: Yanyan Li
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-04-09T00:00:00Z
review text: The authors consider a system of semilinear differential equations of parabolic type modeling a predator-prey system in heterogeneous habitats. Preys are assumed to follow a logistic growth in the absence of predation, and predators are assumed to feed on preys with a Holding type II functional response to prey density. The interactions between predators are modelized by the statement of a food pyramid condition. It is proved existence of at least one weak solution supposing no-flux boundary conditions and \(L^1\) data.
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 35K50
zbMATH DE Number: 1895768
zbMATH Keywords: semilinear parabolic equations
zbMATH Keywords: heterogeneous habitats
zbMATH Keywords: weak solutions
zbMATH Keywords: logistic growth
zbMATH Keywords: food pyramid condition
zbMATH Keywords: no-flux boundary conditions
Wikidata QID: Q115565770
reviewed by: Lubomira Softova
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1895768