Robert R. Ferdinand
Abstract:
We present a model describing population dynamics in an
environment. The model is a nonlinear, nonlocal, reaction
diffusion equation with Neumann boundary conditions. An inverse
method, involving minimization of a least-squares cost functional,
is developed to identify unknown model parameters. Finally,
numerical results are presented which display estimates of these
parameters using computationally generated data.
Published July 20, 2001.
Subject lassfications: 65N21, 65N30, 65N12, 35K05, 35K55, 35K57.
Key words:Parameter estimation, inverse problem, Galerkin,
reaction-diffusion equation.
Show me the PDF file (203K), TEX file, and other files for this article.
Robert R. Ferdinand Department of Mathematics East Central University Ada, OK 74820-6899 USA e-mail: robert.ferdinand@ecok.edu |
Return to the Electronic Journal of Differential Equations