We present a delayed optimal control which describes the interaction of the immune system with the human immunodeficiency virus (HIV) and CD4 + T-cells. In order to improve the therapies, treatment and the intracellul...
We present a delayed optimal control which describes the interaction of the immune system with the human immunodeficiency virus (HIV) and CD4 + T-cells. In order to improve the therapies, treatment and the intracellular delays are incorporated into the model. The optimal control in this model represents the efficiency of drug treatment in preventing viral production and new infections. The optimal pair of control and trajectories of this nonlinear delay system with quadratic cost functional is obtained by Fourier series approximation. The method is based on expanding time varying functions in the nonlinear delay system into their Fourier series with unknown coefficients. Using operational matrices for integration, product, and delay, the problem is reduced to a set of nonlinear algebraic equations.
We propose a matrix method for calculating generalized weighted Moore-Penrose inverse numerically. It is proved that the scheme is convergent with high order via theoretical analysis. Some tests are also presented to ...
详细信息
The effect of catalytic surface reaction on non-reactive flow in micro-channels is *** hydraulic diameter of the channel is considered within the range of 0.2-1.2 mm,and the channel length is considered to be 5 *** wh...
详细信息
The effect of catalytic surface reaction on non-reactive flow in micro-channels is *** hydraulic diameter of the channel is considered within the range of 0.2-1.2 mm,and the channel length is considered to be 5 *** whole length of the channel wall is coated with a *** sensitivity analysis shows that the effect of normalized hydraulic diameter is more than the normalized longitude coordinates in accordance with the existence of the large ratio of surface area to volume in the *** validation of this model,the variation of fuel conversion is compared with the published experimental data and shows an acceptable agreement.
The present work investigates an analytical study on the problem of laminar film condensation on a nanosphere. Due to the microscale interaction, the problem is analyzed by taking into account the effects of slip in v...
详细信息
暂无评论