An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection
نویسندگان
چکیده
منابع مشابه
An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection
We formulate and analyze an unconditionally stable nonstandard finite difference method for a mathematical model of HIV transmission dynamics. The dynamics of this model are studied using the qualitative theory of dynamical systems. These qualitative features of the continuous model are preserved by the numerical method that we propose in this paper. This method also preserves the positivity of...
متن کاملNonstandard Finite Difference Method Applied to a Linear Pharmacokinetics Model
We extend the nonstandard finite difference method of solution to the study of pharmacokinetic-pharmacodynamic models. Pharmacokinetic (PK) models are commonly used to predict drug concentrations that drive controlled intravenous (I.V.) transfers (or infusion and oral transfers) while pharmacokinetic and pharmacodynamic (PD) interaction models are used to provide predictions of drug concentrati...
متن کاملA nonstandard finite difference scheme for solving fractional-order model of HIV-1 infection of CD4^{+} t-cells
In this paper, we introduce fractional-order into a model of HIV-1 infection of CD4^+ T--cells. We study the effect of the changing the average number of viral particles $N$ with different sets of initial conditions on the dynamics of the presented model. The nonstandard finite difference (NSFD) scheme is implemented to study the dynamic behaviors in the fractional--order HIV-1 ...
متن کاملAn Efficient Method to Solve the Mathematical Model of HIV Infection for CD8+ T-Cells
In this paper, the mathematical model of HIV infection for CD8+ T-cells is illustrated. The homotopy analysis method and the Laplace transformations are combined for solving this model. Also, the convergence theorem is proved to demonstrate the abilities of presented method for solving non-linear mathematical models. The numerical results for $N=5, 10$ are presented. Several $hbar$-c...
متن کاملOptimal Rate of Convergence for a Nonstandard Finite Difference Galerkin Method Applied to Wave Equation Problems
The optimal rate of convergence of the wave equation in both the energy and the L-norms using continuous Galerkin method is well known. We exploit this technique and design a fully discrete scheme consisting of coupling the nonstandard finite difference method in the time and the continuous Galerkin method in the space variables. We show that, for sufficiently smooth solution, the maximal error...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Applied Mathematics and Computer Science
سال: 2013
ISSN: 2083-8492,1641-876X
DOI: 10.2478/amcs-2013-0027