title: A second-order high resolution finite difference scheme for a structured erythropoiesis model subject to malaria infection.
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.
authors.affiliation: Department of Mathematics, University of Louisiana at Lafayette, LA 70504, USA. ackleh@louisiana.edu
authors.forename: Azmy S
authors.initials: AS
authors.lastname: Ackleh
authors.forename: Baoling
authors.initials: B
authors.lastname: Ma
authors.forename: Jeremy J
authors.initials: JJ
authors.lastname: Thibodeaux
mesh_terms: D000818:Animals; D004912:Erythrocytes / Q000469:parasitology; D004920:Erythropoiesis; D006790:Host-Parasite Interactions; D006801:Humans; D008288:Malaria / Q000097:blood / Q000469:parasitology*; D055641:Mathematical Concepts; D008954:Models, Biological; D017711:Nonlinear Dynamics
keywords: Convergence; Erythropoiesis; Malaria; Second-order finite difference approximation; Structured model