Sobolev Gradient Approach for Huxley and Fisher Models for Gene Propagation

Nauman Raza, Sultan Sial

Department of Mathematics, Lahore University of Management Sciences, Lahore, Pakistan.
Department of Mathematics, University of the Punjab, Lahore, Pakistan;Department of Mathematics and Statistics, McMaster University, Hamilton, Canada.

DOI: 10.4236/am.2013.48163                

Abstract

The application of Sobolev gradient methods for finding critical points of the Huxley and Fisher models is demonstrated. A comparison is given between the Euclidean, weighted and unweighted Sobolev gradients. Results are given for the one dimensional Huxley and Fisher models.

Keywords

Sobolev Gradient; Huxley and Fisher Models; Descent Methods

Conflicts of Interest

The authors declare no conflicts of interest.

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