In this paper, a novel coronavirus (2019-nCov) mathematical model with modified parameters is presented. This model consists of six nonlinear fractional order differential equations. Optimal control of the suggested model is the main objective of this work. Two control variables are presented in this model to minimize the population number of infected and asymptotically infected people. Necessary optimality conditions are derived. The Grünwald–Letnikov nonstandard weighted average finite difference method is constructed for simulating the proposed optimal control system. The stability of the proposed method is proved. In order to validate the theoretical results, numerical simulations and comparative studies are given.

本文提出了一种新的带有修饰参数的冠状病毒（2019-nCov）数学模型。该模型由六个非线性分数阶微分方程组成。建议模型的最优控制是这项工作的主要目标。此模型中提供了两个控制变量，以最大程度地减少感染和渐近感染人群的数量。得出必要的最优性条件。构造了Grünwald–Letnikov非标准加权平均有限差分法来模拟所提出的最优控制系统。证明了所提方法的稳定性。为了验证理论结果，给出了数值模拟和比较研究。