Eighth Mississippi State - UAB Conference on Differential Equations and Computational Simulations. Electron. J. Diff. Eqns., Conference 19 (2010), pp. 135-149.

Population models with nonlinear boundary conditions

Jerome Goddard II, Eun Kyoung Lee, Ratnasingham Shivaji

Abstract:
We study a two point boundary-value problem describing the steady states of a Logistic growth population model with diffusion and constant yield harvesting. In particular, we focus on a model when a certain nonlinear boundary condition is satisfied.

Published September 25, 2010.
Math Subject Classifications: 34B18, 34B08.
Key Words: Nonlinear boundary conditions; logistic growth; positive solutions.

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Jerome Goddard II
Department of Mathematics and Statistics
Center for Computational Sciences
Mississippi State University, Mississippi State, MS 39762, USA
email: jg440@msstate.edu
Eun Kyoung Lee
Department of Mathematics, Pusan National University
Busan 609-735, Korea
email: eunkyoung165@gmail.com
Ratnasingham Shivaji
Department of Mathematics and Statistics
Center for Computational Sciences
Mississippi State University, Mississippi State, MS 39762, USA
email: shivaji@ra.msstate.edu

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