A differential equation model of HIV infection of CD4+ T-cells with cure rate
نویسندگان
چکیده
منابع مشابه
Numerical solution of a fractional order model of HIV infection of CD4+T cells.
In this paper we consider a fractional order model of HIV infection of CD4+T cells and we transform this fractional order system of ordinary differential equations to a system of weakly singular integral equations. Afterwards we propose a Nystrom method for solving resulting system, convergence result and order of convergence is obtained by using conditions of existence and uniqueness of solut...
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In this article, we present a fractional order HIV-1 infection model of CD4+ T-cell. We analyze the effect of the changing the average number of the viral particle N with initial conditions of the presented model. The Laplace Adomian decomposition method is applying to check the analytical solution of the problem. We obtain the solutions of the fractional order HIV-1 model in the form of infini...
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An epidemic model of HIV infection of CD4 T-cells with cure rate and delay is studied. We include a baseline ODE version of the model, and a differential-delay model with a discrete time delay. The ODE model shows that the dynamics is completely determined by the basic reproduction number R0 < 1. If R0 < 1, the disease-free equilibrium is asymptotically stable and the disease dies out. If R0 > ...
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In this paper, differential transform method (DTM) is described and is applied to solve systems of nonlinear ordinary differential equations which is arising in HIV infections of cell. Intervals of validity of the solution will be extended by using Pade approximation. The results also will be compared with those results obtained by Runge-Kutta method. The technique is described and is illustrat...
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A.S. Perelson, D.E. Kirschner and R. De Boer (Math. Biosci. 114 (1993) 81) proposed an ODE model of cell-free viral spread of human immunodeficiency virus (HIV) in a well-mixed compartment such as the bloodstream. Their model consists of four components: uninfected healthy CD4(+) T-cells, latently infected CD4(+) T-cells, actively infected CD4(+) T-cells, and free virus. This model has been imp...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2008
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2008.01.008