In this research work, we present a mathematical model for novel coronavirus-19 infectious disease which consists of three different compartments: susceptible, infected, and recovered under convex incident rate involving immigration rate. We first derive the formulation of the model. Also, we give some qualitative aspects for the model including existence of equilibriums and its stability results by using various tools of nonlinear analysis. Then, by means of the nonstandard finite difference scheme (NSFD), we simulate the results for the data of Wuhan city against two different sets of values of immigration parameter. By means of simulation, we show how protection, exposure, death, and cure rates affect the susceptible, infected, and recovered population with the passage of time involving immigration. On the basis of simulation, we observe the dynamical behavior due to immigration of susceptible and infected classes or one of these two.

在这项研究工作中，我们提出了一种新型冠状病毒19传染病的数学模型，该模型由三个不同的部分组成：易感性，感染性和在涉及移民率的凸入射率下得以恢复。我们首先得出模型的公式。此外，我们使用各种非线性分析工具对模型进行了定性分析，包括平衡的存在及其稳定性结果。然后，借助非标准有限差分方案（NSFD），针对两组不同的移民参数值，模拟了武汉市的数据结果。通过模拟，我们展示了保护，暴露，死亡和治愈率如何随着时间的流逝而影响易感，感染和康复的人群。在模拟的基础上，