Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6372136 | Mathematical Biosciences | 2013 | 10 Pages |
Abstract
We develop a second-order high-resolution finite difference scheme to approximate the solution of a mathematical model describing the within-host dynamics of malaria infection. The model consists of two nonlinear partial differential equations coupled with three nonlinear ordinary differential equations. Convergence of the numerical method to the unique weak solution with bounded total variation is proved. Numerical simulations demonstrating the achievement of the designed accuracy are presented.
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Authors
Azmy S. Ackleh, Baoling Ma, Jeremy J. Thibodeaux,