Age-structured Population Models with Applications

A general model of age-structured population dynamics of early humans is developed and the fundamental properties of its solutions are analyzed. The model is a semilinear partial differential equation with a nonlinear nonlocal boundary condition. Existence, uniqueness and regularity of solutions to...

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Bibliographic Details
Main Author:	Gao, Min
Other Authors:	Vito Quaranta
Format:	Others
Language:	en
Published:	VANDERBILT 2015
Subjects:	Mathematics
Online Access:	http://etd.library.vanderbilt.edu/available/etd-07242015-170347/

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spelling	ndltd-VANDERBILT-oai-VANDERBILTETD-etd-07242015-1703472015-07-28T05:00:11Z Age-structured Population Models with Applications Gao, Min Mathematics A general model of age-structured population dynamics of early humans is developed and the fundamental properties of its solutions are analyzed. The model is a semilinear partial differential equation with a nonlinear nonlocal boundary condition. Existence, uniqueness and regularity of solutions to the model equations are proved. An intrinsic growth constant is obtained and linked to the existence and the stability of the trivial or the positive equilibrium. The model supports the viability of the extended juvenile and post-reproductive phases of the human species. Vito Quaranta Doug Hardin Philip S. Crooke Glenn F. Webb VANDERBILT 2015-07-27 text application/pdf http://etd.library.vanderbilt.edu/available/etd-07242015-170347/ http://etd.library.vanderbilt.edu/available/etd-07242015-170347/ en unrestricted I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to Vanderbilt University or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.
collection	NDLTD
language	en
format	Others
sources	NDLTD
topic	Mathematics
spellingShingle	Mathematics Gao, Min Age-structured Population Models with Applications
description	A general model of age-structured population dynamics of early humans is developed and the fundamental properties of its solutions are analyzed. The model is a semilinear partial differential equation with a nonlinear nonlocal boundary condition. Existence, uniqueness and regularity of solutions to the model equations are proved. An intrinsic growth constant is obtained and linked to the existence and the stability of the trivial or the positive equilibrium. The model supports the viability of the extended juvenile and post-reproductive phases of the human species.
author2	Vito Quaranta
author_facet	Vito Quaranta Gao, Min
author	Gao, Min
author_sort	Gao, Min
title	Age-structured Population Models with Applications
title_short	Age-structured Population Models with Applications
title_full	Age-structured Population Models with Applications
title_fullStr	Age-structured Population Models with Applications
title_full_unstemmed	Age-structured Population Models with Applications
title_sort	age-structured population models with applications
publisher	VANDERBILT
publishDate	2015
url	http://etd.library.vanderbilt.edu/available/etd-07242015-170347/
work_keys_str_mv	AT gaomin agestructuredpopulationmodelswithapplications
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Age-structured Population Models with Applications

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