Mathematical analysis of a population model with an age-weight structured two-stage life history: asymptotic behavior of solutions
type: Item
instance of: scholarly article
title: Mathematical analysis of a population model with an age-weight structured two-stage life history: asymptotic behavior of solutions
zbMATH Open document ID: 1302.92114
author: Eva Sánchez
author: Rafael Bravo de la Parra
author: M. L. Hbid
published in: Journal of Evolution Equations
publication date: 2014-09-18T00:00:00Z
review text: The paper deals with a model for the dynamics of a physiologically structured population of individuals whose life cycle is divided in two stages with a different structure variable for each stage. The first stage is structured by the weight, while the second one is structured by the age, and the exit from the first stage occurs when a threshold weight is attained. This model is based on the classical Lotka-MacKendrick linear model, which integrating along the characteristic lines can be reduced to the so-called delayed renewal equation including a constant delay. This delay can be viewed as the time spent by individuals in the first stage to reach the weight threshold. By using the Laplace transform, the authors investigate the asymptotic behavior of solutions for the model above, and then they discuss the growth rate and the maturation threshold on the long-term behavior of solutions.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 35F46
Mathematics Subject Classification ID: 35A22
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 6345566
zbMATH Keywords: two-stage structured population
zbMATH Keywords: delayed renewal equation
zbMATH Keywords: Laplace transform
zbMATH Keywords: maturation threshold
reviewed by: Rodica Luca
MaRDI profile type: Publication
full work available at URL: s00028-014-0229-3
OpenAlex ID: W2006158936
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DOI: 10.1007/S00028-014-0229-3
description: scientific article; zbMATH DE number 6345566