HIV-infection model stabilization
نویسندگان
چکیده
منابع مشابه
A suitable data model for HIV infection and epidemic detection
Background: In recent years, there has been an increase in the amount and variety of data generated in the field of healthcare, (e.g., data related to the prevalence of contagious diseases in the society). Various patterns of individuals’ relationships in the society make the analysis of the network a complex, highly important process in detecting and preventing the incidence of diseases....
متن کاملStability and Feedback Stabilization of HIV Infection Model with Two Classes of Target Cells
We study the stability and feedback stabilization of the uninfected steady state of a human immunodeficiency virus HIV infection model. The model is a 6-dimensional nonlinear ODEs that describes the interaction of the HIV with two classes of target cells, CD4 T cells and macrophages, and takes into account the Cytotoxic T Lymphocytes CTLs immune response. Lyapunov function is constructed to est...
متن کاملNumerical 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...
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 کاملNumerical analysis of fractional order model of HIV-1 infection of CD4+ T-cells
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...
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: IFAC-PapersOnLine
سال: 2015
ISSN: 2405-8963
DOI: 10.1016/j.ifacol.2015.11.088