Novel Dynamic Structures of 2019-nCoV with Nonlocal Operator via Powerful Computational Technique

Wei Gao; P Veeresha; D G Prakasha; Haci Mehmet Baskonus

doi:10.3390/biology9050107

Novel Dynamic Structures of 2019-nCoV with Nonlocal Operator via Powerful Computational Technique

Biology (Basel). 2020 May 21;9(5):107. doi: 10.3390/biology9050107.

Authors

Wei Gao^{1

2}, P Veeresha³, D G Prakasha⁴, Haci Mehmet Baskonus¹

Affiliations

¹ Faculty of Education, Harran University, Sanliurfa 63200, Turkey.
² School of Information Science and Technology, Yunnan Normal University, Kunming 650500, China.
³ Department of Mathematics, Karnatak University, Dharwad 580003, India.
⁴ Department of Mathematics, Davangere University, Shivagangothri, Davangere 577007, India.

Abstract

In this study, we investigate the infection system of the novel coronavirus (2019-nCoV) with a nonlocal operator defined in the Caputo sense. With the help of the fractional natural decomposition method (FNDM), which is based on the Adomian decomposition and natural transform methods, numerical results were obtained to better understand the dynamical structures of the physical behavior of 2019-nCoV. Such behaviors observe the general properties of the mathematical model of 2019-nCoV. This mathematical model is composed of data reported from the city of Wuhan, China.

Keywords: Caputo fractional derivative; RNA; coronavirus 2019-nCoV; fractional natural decomposition method; numerical behavior.