A joint project of the Graduate School, Peabody College, and the Jean & Alexander Heard Library

Title page for ETD etd-07242015-170347

Type of Document Dissertation
Author Gao, Min
Author's Email Address gmjerry10@hotmail.com
URN etd-07242015-170347
Title Age-structured Population Models with Applications
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Glenn F. Webb Committee Chair
Doug Hardin Committee Member
Philip S. Crooke Committee Member
Vito Quaranta Committee Member
  • semilinear partial differential equation
  • steady states
  • stability
  • Lyapunov functional
  • population dynamics
Date of Defense 2015-04-06
Availability unrestricted
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.

  Filename       Size       Approximate Download Time (Hours:Minutes:Seconds) 
 28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access 
  Min.PhD.Thesis.Revised.pdf 1.02 Mb 00:04:43 00:02:25 00:02:07 00:01:03 00:00:05

Browse All Available ETDs by ( Author | Department )

If you have more questions or technical problems, please Contact LITS.