Nature Inspired Computational Approach to Solve the Model for HIV Infection of CD4

نویسندگان

  • Qureshi
  • Amir
چکیده

In this paper, a stochastic heuristic technique is investigated to obtain the approximate solution of the HIV infection model of CD4T cells. The proposed technique represents the approximate solution as a linear combination of some polynomial basis functions with unknown adaptable coefficients. The trial solution of the problem is formulated using a fitness function, which contains unknown adaptable coefficients. The minimization of the fitness function is performed using the hybrid heuristic computational approach. The stochastic global search technique such as genetic algorithm (GA) is hybridized with two local search optimizers such as interior point algorithm (IPA) and active set algorithm (ASA), for obtaining the unknown coefficients. The effectiveness of the proposed technique is illustrated in contrast with fourth-order Runge Kutta method (RK4) and some well known deterministic standard methods. The results validate the accuracy and viability of the proposed technique for the approximate solution of the HIV infection model of CD4 T cells.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A 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 کامل

Numerical 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 کامل

A new method based on fourth kind Chebyshev wavelets to a fractional-order model of HIV infection of CD4+T cells

This paper deals with the application of fourth kind Chebyshev wavelets (FKCW) in solving numerically a model of HIV infection of CD4+T cells involving Caputo fractional derivative. The present problem is a system of nonlinear fractional differential equations. The goal is to approximate the solution in the form of FKCW truncated series. To do this, an operational matrix of fractional integrati...

متن کامل

Convergence of the multistage variational iteration method for solving a general system of ordinary differential equations

In this paper, the multistage variational iteration method is implemented to solve a general form of the system of first-order differential equations. The convergence of the proposed method is given. To illustrate the proposed method, it is applied to a model for HIV infection of CD4+ T cells and the numerical results are compared with those of a recently proposed method.

متن کامل

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...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2014