Sobolev Gradient Approach for Huxley and Fisher Models for Gene Propagation - Applied Mathematics

AM > Vol.4 No.8, August 2013

Applied Mathematics

Volume 4, Issue 8 (August 2013)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Sobolev Gradient Approach for Huxley and Fisher Models for Gene Propagation ()

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DOI: 10.4236/am.2013.48163 4,021 Downloads 5,541 Views Citations

Author(s)

Nauman Raza, Sultan Sial

Affiliation(s)

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.

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

Share and Cite:

N. Raza and S. Sial, "Sobolev Gradient Approach for Huxley and Fisher Models for Gene Propagation," Applied Mathematics, Vol. 4 No. 8, 2013, pp. 1212-1219. doi: 10.4236/am.2013.48163.

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