Mathematical analysis of spread and control of the novel corona virus (COVID-19) in China

Anwarud Din; Yongjin Li; Tahir Khan; Gul Zaman

doi:10.1016/j.chaos.2020.110286

journal article Dec 01, 2020

Mathematical analysis of spread and control of the novel corona virus (COVID-19) in China

Anwarud Din

Yongjin Li

Tahir Khan

Gul Zaman

Chaos, Solitons & Fractals Vol. 141 pp. 110286 · Elsevier BV

View at Publisher Save 10.1016/j.chaos.2020.110286

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References

32

[1]

Maclachlan (2010)

[2]

Cross‐species transmission of the newly identified coronavirus 2019‐nCoV

Wei Ji, Wei Wang, Xiaofang Zhao et al.

Journal of Medical Virology 2020 10.1002/jmv.25682

[3]

Organization (2020)

[4]

Lau "Replication of MERS and SARS coronaviruses in bat cells offers insights to their ancestral origins" Emerg Microbe Infect (2018) 10.1038/s41426-018-0208-9

[5]

A familial cluster of pneumonia associated with the 2019 novel coronavirus indicating person-to-person transmission: a study of a family cluster

Jasper Fuk-Woo Chan, Shuofeng Yuan, Kin-Hang Kok et al.

The Lancet 2020 10.1016/s0140-6736(20)30154-9

[6]

Clinical features of patients infected with 2019 novel coronavirus in Wuhan, China

Chaolin Huang, Yeming Wang, Xingwang Li et al.

The Lancet 2020 10.1016/s0140-6736(20)30183-5

[7]

Tavakoli "Novel coronavirus disease 2019 (COVID-19): an emerging infectious disease in the 21st century" ISMJ (2020)

[8]

Clinical features of patients infected with 2019 novel coronavirus in Wuhan, China

Chaolin Huang, Yeming Wang, Xingwang Li et al.

The Lancet 2020 10.1016/s0140-6736(20)30183-5

[9]

Chen "Epidemiological and clinical characteristics of 99 cases of 2019 novel coronavirus pneumonia in wuhan, china: a descriptive study" Lancet (2020) 10.1016/s0140-6736(20)30211-7

[10]

Deng "Characteristics of and public health responses to the coronavirus disease 2019 outbreak in china" J Clin Med (2020) 10.3390/jcm9020575

[11]

Mission "WHO-China joint" (2020)

[12]

Khan "The transmission dynamic and optimal control of acute and chronic hepatitis b" J Biol Dyn (2017) 10.1080/17513758.2016.1256441

[13]

LaSalle "The stability of dynamical systems" Siam (1976)

[14]

van den Driessche "Further notes on the basic reproduction number" (2008) 10.1007/978-3-540-78911-6_6

[15]

Atangana "Modelling the spread of COVID-19 with new fractal-fractional operators: can the lockdown save mankind before vaccination?" Chaos Solitons Fractals (2020) 10.1016/j.chaos.2020.109860

[16]

Khan "Modeling the dynamics of novel coronavirus (COVID-19) with fractional derivative" Alexandria Eng J (2020) 10.1016/j.aej.2020.02.033

[17]

Mann "Modelling the epidemiology of hepatitisb in newzealand" J Theor Biol (2011) 10.1016/j.jtbi.2010.10.028

[18]

Culshaw "Optimal HIV treatment by maximising immune response" J Math Biol (2004) 10.1007/s00285-003-0245-3

[19]

Kamien "Dynamic optimization: the calculus of variations and optimal control in economics and management" Cour Corp (2012)

[20]

Zaman "Optimal treatment of an SIR epidemic model with time delay" BioSystems (2009) 10.1016/j.biosystems.2009.05.006

[21]

Dahlard (1982)

[22]

Din "Viral dynamics and control of hepatitis b virus (HBV) using an epidemic model" Alexand Eng J (2020) 10.1016/j.aej.2020.01.034

[23]

Khan "Modeling and control of the hepatitis b virus spreading using an epidemic model" Chaos Solit Fract (2019) 10.1016/j.chaos.2019.04.033

[24]

Khan "Optimal control strategy of SEIR endemic model with continuous age-structure in the exposed and infectious classes" Optim Control Appl Meth (2018) 10.1002/oca.2437

[25]

Li "Optimal control theory for infinite dimensional systems" Birkhuser: Boston (1995)

[26]

Lukes "Differential equations: classical to controlled" (1982)

[27]

Anderson (1992)

[28]

Thater "Optimal vaccination strategies for an SEIR model of infectious diseases with logistic growth" Math Biosci Eng (2017) 10.3934/mbe.2018022

[29]

Frew (2010)

[30]

Tien "Multiple transmission pathways and disease dynamics in a waterborne pathogen model" Bull Math Biol (2010) 10.1007/s11538-010-9507-6

[31]

Jan "Asymptomatic carriers in transmission dynamics of dengue with control interventions" Optim Control Appl Meth (2019)

[32]

Agusto "Optimal control strategies for dengue transmission in Pakistan" Math Biosci (2018) 10.1016/j.mbs.2018.09.007

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References

Details

Published: Dec 01, 2020
Vol/Issue: 141
Pages: 110286
License: View

Authors

Funding

National Natural Science Foundation of China

Cite This Article

Anwarud Din, Yongjin Li, Tahir Khan, et al. (2020). Mathematical analysis of spread and control of the novel corona virus (COVID-19) in China. Chaos, Solitons & Fractals, 141, 110286. https://doi.org/10.1016/j.chaos.2020.110286

Mathematical analysis of spread and control of the novel corona virus (COVID-19) in China

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