Modeling and forecasting the COVID-19 pandemic in India

Chaos, Solitons & Fractals - Tập 139 - Trang 110049 - 2020
Kankan Sarkar1, Subhas Khajanchi2, Juan J. Nieto3
1Department of Mathematics, Malda College, Malda, West Bengal, 732101, India
2Department of Mathematics, Presidency University, 86/1 College Street, Kolkata 700073, India
3Instituto de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, Spain

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World Health Organization (WHO), Coronavirus disease (COVID-19) outbreak situation. 2020. https://www.who.int/emergencies/diseases/novel-coronavirus-2019.

India COVID-19 tracker. 2020a. https://www.covid19india.org/.

WHO Situation Report, Coronavirus disease 2019 (COVID-19). 2020. https://www.who.int/docs/default-source/coronaviruse/situation-reports/20200306-sitrep-46-covid-19.pdf?sfvrsn=96b04adf-2.

BBC News. https://www.bbc.com/news/world-52114829.

Zhu, 2020, A novel coronavirus from patients with pneumonia in China, 2019, N Engl J Med, 382, 727, 10.1056/NEJMoa2001017

Wu, 2020, Characteristics of and important lessons from the coronavirus disease 2019 (COVID-19) outbreak in China: summary of a report of 72,314 cases from the Chinese center for disease control and prevention, JAMA, 323, 1239, 10.1001/jama.2020.2648

Cohen, 2020, New SARS-like virus in China triggers alarm, Science, 367, 234, 10.1126/science.367.6475.234

Government of India. https://www.mygov.in/covid-19.

BBC news. https://www.bbc.com/news/world-asia-india-52077395.

The Indian Express. 2020b. https://indianexpress.com/article/coronavirus/coronavirus-india-infection-rate-china-6321154/.

Anderson, 2020, How will country-based mitigation measures influence the course of the COVID-19 epidemic?, Lancet Comment, 395, 931, 10.1016/S0140-6736(20)30567-5

Zhao, 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 Inf Dis, 92, 214, 10.1016/j.ijid.2020.01.050

Zou, 2020, SARS-CoV-2 viral load in upper respiratory specimens of infected patients, N Engl J Med, 382, 1177, 10.1056/NEJMc2001737

NDTV News. https://www.ndtv.com/india-news/coronavirus-impact-visas-to-india-suspended-till-april-15-2193382.

Ferguson, 2020, Impact of non-pharmaceutical interventions (NPIs) to reduce COVID- 19 mortality and healthcare demand, 1

INDIA TV News, Suspension of international flight. 2020c. https://www.indiatvnews.com/news/india/no-international-commercial-flight-will-be-allowed-to-land-india-from-march-22-599644.

Livemint, India suspends domestic flights. 2020a. https://www.livemint.com/news/india/coronavirus-india-suspends-domestic-flights-from-25-march-11584962827845.html.

Regan H., Mitra E., Gupta S.. Millions in India under coronavirus lockdown as major cities restrict daily life, CNN. 2020. https://edition.cnn.com/2020/03/23/asia/coronavirus-covid-19-update-india-intl-hnk/index.html.

NDTV NEWS, India’s Coronavirus Lockdown: What it Looks Like when India’s 1.3 Billion People Stay Home. https://www.ndtv.com/india-news/indias-coronavirus-lockdown-clear-roads-clean-air-80s-tv-2209373.

Livemint, Extension of lockdown till 3 may,  Livemint. 2020b. https://www.livemint.com/news/india/pm-modi-announces-extension-of-lockdown-till-3-may-11586839412073.html.

Anderson, 1991

Diekmann, 2000

Hethcote, 2000, The mathematics of infectious diseases, SIAM Rev, 42, 599, 10.1137/S0036144500371907

Banerjee, 2015, A mathematical model to elucidate brain tumor abrogation by immunotherapy with t11 target structure, PLoS One, 10, E0123611, 10.1371/journal.pone.0123611

Khajanchi, 2020, Forecasting the daily and cumulative number of cases for the COVID-19 pandemic in India, arXiv

Kermack, 1927, A contribution to the mathematical theory of epidemics, Proc R Soc Lond, 115, 700

Chen, 2020, A mathematical model for simulating the phase-based transmissibility of a novel coronavirus, Infect Dis Pov, 9

Lina, 2020, A conceptual model for the coronavirus disease 2019 (COVID-19) outbreak in Wuhan, China with individual reaction and governmental action, Int J Inf Dis, 93, 211, 10.1016/j.ijid.2020.02.058

Khajanchi S., Sarkar K., Mondal J., Perc M.. Dynamics of the COVID-19 pandemic in India2020; ArXiv preprint arXiv:2005.06286.

Khan, 2020, Modeling the dynamics of novel coronavirus (2019-nCoV) with fractional derivative, Alex Eng J, 10.1016/j.aej.2020.02.033

Wu, 2020, Estimating clinical severity of COVID-19 from the transmission dynamics in Wuhan, China, Nat Med, 26, 506, 10.1038/s41591-020-0822-7

Kucharski, 2020, Early dynamics of transmission and control of COVID-19: a mathematical modelling study, Lancet Infect Dis, 10.1016/S1473-3099(20)30144-4

Das, 2020, The impact of the media awareness and optimal strategy on the prevalence of tuberculosis, Appl Math Comput, 366, 124732

Windarto Khan, 2020, Fatmawati, parameter estimation and fractional derivatives of dengue transmission model, AIMS Math, 5, 2758, 10.3934/math.2020178

Khan, 2019, A dynamical model of asymptomatic carrier zika virus with optimal control strategies, Nonlinear Anal Real World Appl, 50, 144, 10.1016/j.nonrwa.2019.04.006

Khajanchi, 2018, Dynamics of tuberculosis transmission with exogenous reinfections and endogenous reactivations, Phys A, 497, 52, 10.1016/j.physa.2018.01.014

Tang, 2020, Estimation of the transmission risk of the 2019-nCoVand its implication for public health interventions, J Clin Med, 9, 462, 10.3390/jcm9020462

Gumel, 2004, Modelling strategies for controlling SARS outbreaks, Proc R Soc Lond B, 271, 2223, 10.1098/rspb.2004.2800

Ndairou, 2020, Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan, Chaos Soliton Fractals, 135, 109846, 10.1016/j.chaos.2020.109846

Fanelli, 2020, Analysis and forecast of COVID-19 spreading in China, Italy and France, Chaos Soliton Fractals, 135, 109761, 10.1016/j.chaos.2020.109761

Diekmann, 1990, On the definition and the computation of the basic reproduction ratio r0 in models for infectious diseases in heterogeneous populations, J Math Biol, 28, 365, 10.1007/BF00178324

van den Driessche, 2002, Reproduction numbers and subthreshold endemic equilibria for compartmental models of disease transmission, Math Biosci, 180, 29, 10.1016/S0025-5564(02)00108-6

Marino, 2008, A methodology for performing global uncertainty and sensitivity analysis in systems biology, J Theor Biol, 254, 178, 10.1016/j.jtbi.2008.04.011

King, 2015, Avoidable errors in the modelling of outbreaks of emerging pathogens, with special reference to Ebola, Proc Biol Sci, 282, 20150347

Battegay, 2020

Tang, 2012, Campus quarantine (Fengxiao) for curbing emergent infectious diseases: lessons from mitigating A/H1N1 in Xi’an, China, J Theor Biol, 295, 47, 10.1016/j.jtbi.2011.10.035