Optimal sigmoid nonlinear stochastic control of HIV-1 infection based on bacteria foraging optimization method

•We proposed new nonlinear stochastic control of HIV infection.•The proposed method is based on new nonlinear convex function as controller that their parameter tunes by genetic algorithm.•In evaluating long periods, the total amount of drugs increases slightly, but rebound risks for viral load are minimized.•The result of our paper is drudge dosage management method for control of HIV.

Using nonlinear stochastic state-space model of HIV-1 infection, having as state variables the concentration of healthy and infected cells and the concentration of virions (free virus particles), utilized for design a control method. In this paper, a new optimal nonlinear stochastic controller is presented based on a bacterial foraging optimization (BFO) method to decrease the number of infected cells in presence of stochastic parameters of HIV dynamic. Bacterial foraging optimization sigmoid nonlinear control (BFO-SNC) is a novel nonlinear robust optimal method that can control the biological characteristics of nonlinear stochastic HIV dynamic by drug dosage management. The BFOA should optimize this kind of controller included three parameters. The proposed control method searches the best controller parameters domain subject to minimize a stochastic expected value of cost function. Simulation results show that the proposed BFO-SNC scheme does improve the treatment performance in compare to other control methods. For comparison with BFO-SNC method, a modified PID controller is chosen as controller structure.