Recently, various studied were presented to describe the population dynamic of covid-19. In this effort, we aim to introduce a different vitalization of the growth by using a controller term. Our method is based on the concept of conformable calculus, which involves this term. We investigate a system of coupled differential equations, which contains the dynamics of the diffusion among infected and asymptomatic characters. Strong control is considered due to the social separation. The result is consequently associated with a macroscopic law for the population. This dynamic system is useful to recognize the behavior of the growth rate of the infection and to confirm if its control is correctly functioning. A unique solution is studied under self-mapping properties. The periodicity of the solution is examined by using integral control and the optimal control is discussed in the sequel.

最近，提出了各种研究来描述covid-19的种群动态。在此努力中，我们旨在通过使用控制器术语来引入不同的增长活力。我们的方法基于符合性演算的概念，涉及该术语。我们研究了一个耦合的微分方程系统，其中包含感染和无症状字符之间扩散的动力学。由于社会隔离，人们认为控制力很强。结果与人口的宏观规律相关。该动态系统可用于识别感染增长率的行为并确认其控制功能是否正常运行。在自映射属性下研究了一种独特的解决方案。