Age-structured Population Models with Applications

dc.contributor.committeeChair	Glenn F. Webb
dc.contributor.committeeMember	Vito Quaranta
dc.contributor.committeeMember	Doug Hardin
dc.contributor.committeeMember	Philip S. Crooke
dc.creator	Gao, Min
dc.date.accessioned	2020-08-22T20:34:32Z
dc.date.available	2015-07-27
dc.date.issued	2015-07-27
dc.description.abstract	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.
dc.format.mimetype	application/pdf
dc.identifier.uri	https://etd.library.vanderbilt.edu/etd-07242015-170347
dc.identifier.uri	http://hdl.handle.net/1803/13547
dc.subject	semilinear partial differential equation
dc.subject	steady states
dc.subject	stability
dc.subject	Lyapunov functional
dc.subject	population dynamics
dc.title	Age-structured Population Models with Applications
dc.type	dissertation
dc.type.material	text
local.embargo.lift	2015-07-27
local.embargo.terms	2015-07-27
thesis.degree.discipline	Mathematics
thesis.degree.grantor	Vanderbilt University
thesis.degree.level	dissertation
thesis.degree.name	PHD

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