Babaei A, Jafari H, Banihashemi S, Ahmadi M
Department of Applied Mathematics, University of Mazandaran, Babolsar, Iran.
Department of Mathematical Sciences, University of South Africa, UNISA0003, South Africa.
Chaos Solitons Fractals. 2021 Apr;145:110788. doi: 10.1016/j.chaos.2021.110788. Epub 2021 Feb 19.
This paper is associated to investigate a stochastic SEIAQHR model for transmission of Coronavirus disease 2019 that is a recent great crisis in numerous societies. This stochastic pandemic model is established due to several safety protocols, for instance social-distancing, mask and quarantine. Three white noises are added to three of the main parameters of the system to represent the impact of randomness in the environment on the considered model. Also, the unique solvability of the presented stochastic model is proved. Moreover, a collocation approach based on the Legendre polynomials is presented to obtain the numerical solution of this system. Finally, some simulations are provided to survey the obtained results of this pandemic model and to identify the theoretical findings.
本文旨在研究一个用于2019冠状病毒病传播的随机SEIAQHR模型，该疾病是近期众多社会面临的重大危机。由于一些安全协议，如社交距离、口罩和隔离措施，建立了这个随机大流行模型。在系统的三个主要参数中加入了三个白噪声，以表示环境中的随机性对所考虑模型的影响。此外，还证明了所提出的随机模型的唯一可解性。此外，还提出了一种基于勒让德多项式的配置方法来获得该系统的数值解。最后，进行了一些模拟，以考察这个大流行模型的所得结果，并确定理论发现。
