Math @ Duke
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Publications [#141693] of Anna V. Little
Papers Published
- Tammy Ladner, Anna Little, Ken Marks, Amber Russell, Positive Solutions to a Diffusive Logistic Equation with Constant Yield Harvesting,
Rose-Hulman Undergraduate Math Journal
(2005), ISSN Vol. 6, Issue 1, 2005 [php]
(last updated on 2008/01/09)
Abstract: We consider a reaction diffusion equation which models the constant yield harvesting of a spatially heterogeneous population which satisfies a logistic growth. In particular, we study the existence of positive solutions subject to a class of nonlinear boundary conditions. We also provide results for the case of Neumann and Robin boundary conditions. We obtain our results via a quadrature method and Mathematica computations.
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