Study of transmission dynamics of novel COVID-19 by using mathematical model

被引：0
作者：
Rahim Ud Din
Kamal Shah
Imtiaz Ahmad
Thabet Abdeljawad
机构：
[1] University of Malakand,Department of Mathematical
[2] Dir(L),Department of Mathematics and General Sciences
[3] Prince Sultan University,Department of Medical Research
[4] China Medical University,Department of Computer Science and Information Engineering
[5] Asia University,undefined
来源：
Advances in Difference Equations | / 2020卷
关键词：
Mathematical model; Novel coronavirus-19; Nonstandard finite difference scheme; Immigration rate;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
相关论文
共 52 条
  • [1] Wu J.T.(2020)Nowcasting and forecasting the potential domestic and international spread of the 2019-nCoV outbreak originating in Wuhan, China: a modelling study Lancet 395 689-697
  • [2] Leung K.(2020)Preliminary estimation of the basic reproduction number of novel coronavirus (2019-nCoV) in China, from 2019 to 2020: a data-driven analysis in the early phase of the outbreak Int. J. Infect. Dis. 92 214-217
  • [3] Leung G.M.(2020)On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative Chaos Solitons Fractals 2020 221-236
  • [4] Zhao S.(2020)Genomic characterization of the 2019 novel human-pathogenic coronavirus isolated from patients with acute respiratory disease in Wuhan, Hubei, China Emerg. Microbes Infect. 9 1-4
  • [5] Abdo M.S.(2020)Statistical analysis of forecasting COVID-19 for upcoming month in Pakistan Chaos Solitons Fractals 138 107-8
  • [6] Chan J.F.-W.(2020)Estimating the unreported number of novel coronavirus (2019-nCoV) cases in China in the first half of January 2020: a data-driven modelling analysis of the early outbreak J. Clin. Med. 9 231-266
  • [7] Kok K.-H.(2020)A pneumonia outbreak associated with a new coronavirus of probable bat origin Nature 3 1-2232
  • [8] Zhu Z.(2020)Novel dynamic structures of 2019-nCoV with nonlocal operator via powerful computational technique Biology 9 264-39
  • [9] Yousaf M.(1971)On the Volterra and other nonlinear models of interacting populations Rev. Mod. Phys. 43 2223-399
  • [10] Zahir S.(2020)A mathematical model for simulating the phase-based transmissibility of a novel coronavirus Infect. Dis. Poverty 9 31-11
123456