Positive global solutions for a general model of size-dependent population dynamics
type: Item
instance of: scholarly article
title: Positive global solutions for a general model of size-dependent population dynamics
zbMATH Open document ID: 1012.92035
DOI: 10.1155/S108533750000035X
author: Nobuyuki Kato
published in: Abstract and Applied Analysis
publication date: 2002-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/50044
review text: Summary: We study size-structured population models of general type which have a growth rate depending on size and time. Local existence and uniqueness of solutions have been shown by \textit{N. Kato} and \textit{H. Torikata} [Abstr. Appl. Anal. 2, No. 3-4, 207-226 (1997; Zbl 0931.92024)]. Here, we discuss positivity of solutions and global existence as well as \(L^\infty\) solutions.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 35B99
Mathematics Subject Classification ID: 35B60
zbMATH DE Number: 1780506
zbMATH Keywords: initial-boundary value problem
zbMATH Keywords: characteristic curves
MaRDI profile type: Publication
OpenAlex ID: W1999251615
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description: scientific article; zbMATH DE number 1780506