Suppressing tactics by optimal sterile release program against wild mosquitoes

Abstract

The sterile insect technique (SIT) offers a promising strategy for reducing wild mosquitoes in nature. But many factors cause incomplete sterility in a sterile release program. This article develops a mosquitoes model involving pulsed releasing sterile mosquitoes with gender structure and partial residual fecundity. Firstly, we devote to eliminate the wild mosquitoes by chronical period control. Next the impulsive control tactics with alterable pulse times and releasing amounts in finite time restraining wild mosquitoes are established. To acquire optimal strategy, the corresponding impulsive optimal problem is translated into continuous parameter selection problem by means of the transformation of time-scaling and time translation. Lastly, simulations based on gradient descent and genetic algorithm are given. Results indicate that pulsed releasing sterile mosquitoes greatly suppress the wild mosquitoes. Moreover, hybrid control is superior to the amount control and periodic impulsive control.