Existence and uniqueness of global solutions for a size-structured model of an insect population with variable instar duration
type: Item
instance of: scholarly article
title: Existence and uniqueness of global solutions for a size-structured model of an insect population with variable instar duration
zbMATH Open document ID: 0810.92022
published in: Rocky Mountain Journal of Mathematics
publication date: 1994-09-27T00:00:00Z
review text: A complicated size-structured model for populations with time variable instar stages determined by a weight gain threshold condition (due to R. Nisbet and W. Gurney) is reformulated by the author and then rigorously shown to be equivalent to a system of standard functional differential equations. In this way an existence and uniqueness theorem is proved for the original threshold model.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34K99
zbMATH DE Number: 645254
zbMATH Keywords: size-structured model
zbMATH Keywords: time variable instar stages
zbMATH Keywords: weight gain threshold condition
zbMATH Keywords: existence and uniqueness theorem
zbMATH Keywords: threshold model
author: Hal L. Smith
reviewed by: J. M. Cushing
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072468
OpenAlex ID: W1971718558
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DOI: 10.1216/RMJM/1181072468
description: scientific article; zbMATH DE number 645254