Finding travel proportion under COVID-19

Yong Zhou; Yiming Ding; Yong Zhou; Yiming Ding

doi:10.3934/biophy.2022020

AIMS Biophysics

2022, Volume 9, Issue 3: 235-245. doi: 10.3934/biophy.2022020

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Finding travel proportion under COVID-19

Yong Zhou ^{1
,
,},
Yiming Ding ²

1.
College of Science, Wuhan University of Science and Technology, Wuhan 430065, China
2.
Center for Mathematical Sciences, Wuhan University of Technology, Wuhan 430070, China

Received: 06 June 2022 Revised: 04 August 2022 Accepted: 31 August 2022 Published: 13 September 2022

Travel restrictions have become an important epidemic preventive measure, but there are few relevant quantitative studies. In this paper, travel proportion is introduced into a four-compartment model to quantify the spread of COVID-19 in Wuhan. It is found that decreasing the travel proportion can reduce the peak of infections and delay the peak time. When the travel proportion is less than 35%, transmission can be prevented. This method provides reference for other places.
- COVID-19,
- travel restrictions,
- travel proportion,
- epidemic model
Citation: Yong Zhou, Yiming Ding. Finding travel proportion under COVID-19[J]. AIMS Biophysics, 2022, 9(3): 235-245. doi: 10.3934/biophy.2022020

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Abstract

Travel restrictions have become an important epidemic preventive measure, but there are few relevant quantitative studies. In this paper, travel proportion is introduced into a four-compartment model to quantify the spread of COVID-19 in Wuhan. It is found that decreasing the travel proportion can reduce the peak of infections and delay the peak time. When the travel proportion is less than 35%, transmission can be prevented. This method provides reference for other places.

Acknowledgments

This work was supported by the National Key Research and Development Program of China (2020YFA0714200).

Conflict of interest

The authors declare no competing interest.

Author contributions

Yong Zhou: model, software and original draft preparation. Yiming Ding: conceptualization, validation, analysis and revision.

Data availability statements

The datasets analyzed during the current study are available from the corresponding author on reasonable request.

References

[1]	Tull MT, Edmonds KA, Scamaldo KM, et al. (2020) Psychological outcomes associated with stay-at-home orders and the perceived impact of COVID-19 on daily life. Psychiat Res 289: 113098. https://doi.org/10.1016/j.psychres.2020.113098
[2]	Dwivedi YK, Hughes DL, Coombs C, et al. (2020) Impact of COVID-19 pandemic on information management research and practice: transforming education, work and life. Int J Inform Manage 55: 102211. https://doi.org/10.1016/j.ijinfomgt.2020.102211
[3]	Marinoni G, Van't Land H, Jensen T (2020) The impact of Covid-19 on higher education around the world. IAU Global Survey Report 23.
[4]	Škare M, Soriano DR, Porada-Rochoń M (2021) Impact of COVID-19 on the travel and tourism industry. Technol Forecast Soc 163: 120469. https://doi.org/10.1016/j.techfore.2020.120469
[5]	Gyimóthy S, Braun E, Zenker S (2022) Travel-at-home: Paradoxical effects of a pandemic threat on domestic tourism. Tourism Manage 93: 104613. https://doi.org/10.1016/j.tourman.2022.104613
[6]	Tian H, Liu Y, Li Y, et al. (2020) An investigation of transmission control measures during the first 50 days of the COVID-19 epidemic in China. Science 368: 638-642. https://doi.org/10.1126/science.abb6105
[7]	Liu W, Yue XG, Tchounwou PB (2020) Response to the COVID-19 epidemic: the Chinese experience and implications for other countries. Int J Env Res Pub He 17: 2304. https://doi.org/10.3390/ijerph17072304
[8]	Güner HR, Hasanoğlu İ, Aktaş F (2020) COVID-19: Prevention and control measures in community. Turk J Med Sci 50: 571-577. https://doi.org/10.3906/sag-2004-146
[9]	Lu N, Cheng KW, Qamar N, et al. (2020) Weathering COVID-19 storm: Successful control measures of five Asian countries. Am J Infect Control 48: 851-852. https://doi.org/10.1016/j.ajic.2020.04.021
[10]	Hurford A, Rahman P, Loredo-Osti JC (2021) Modelling the impact of travel restrictions on COVID-19 cases in Newfoundland and Labrador. Roy Soc Open Sci 8: 202266. https://doi.org/10.1098/rsos.202266
[11]	Chinazzi M, Davis JT, Ajelli M, et al. (2020) The effect of travel restrictions on the spread of the 2019 novel coronavirus (COVID-19) outbreak. Science 368: 395-400. https://doi.org/10.1126/science.aba9757
[12]	Parino F, Zino L, Porfiri M, et al. (2021) Modelling and predicting the effect of social distancing and travel restrictions on COVID-19 spreading. J R Soc Interface 18: 20200875. https://doi.org/10.1098/rsif.2020.0875
[13]	Adekunle A, Meehan M, Rojas-Alvarez D, et al. (2020) Delaying the COVID-19 epidemic in Australia: evaluating the effectiveness of international travel bans. Aust NZ J Publ Heal 44: 257-259. https://doi.org/10.1111/1753-6405.13016
[14]	Devi S (2020) Travel restrictions hampering COVID-19 response. Lancet 395: 1331. https://doi.org/10.1016/S0140-6736(20)30967-3
[15]	Atkeson A (2020) What will be the economic impact of COVID-19 in the US? Rough estimates of disease scenarios. National Bureau of Economic Research . https://doi.org/10.3386/w26867
[16]	Dev SM, Sengupta R (2020) Covid-19: Impact on the Indian economy. Indira Gandhi Institute of Development Research .
[17]	Buheji M, da Costa Cunha K, Beka G, et al. (2020) The extent of covid-19 pandemic socio-economic impact on global poverty. a global integrative multidisciplinary review. Am J Econ 10: 213-224. https://doi.org/10.5923/j.economics.20201004.02
[18]	Maliszewska M, Mattoo A, Van Der Mensbrugghe D (2020) The potential impact of COVID-19 on GDP and trade: A preliminary assessment. World Bank Policy Research Working Paper 9211.
[19]	Açikgöz Ö, Günay A (2020) The early impact of the Covid-19 pandemic on the global and Turkish economy. Turk J Med Sci 50: 520-526. https://doi.org/10.3906/sag-2004-6
[20]	Fotiadis A, Polyzos S, Huan TCTC (2021) The Good, the bad and the ugly on COVID-19 tourism recovery. Ann Tourism Res 87: 103117. https://doi.org/10.1016/j.annals.2020.103117
[21]	Kaushal V, Srivastava S (2021) Hospitality and tourism industry amid COVID-19 pandemic: Perspectives on challenges and learnings from India. Int J Hosp manag 92: 102707. https://doi.org/10.1016/j.ijhm.2020.102707
[22]	Chen F, Chen L, Xie X (2009) On a Leslie–Gower predator–prey model incorporating a prey refuge. Nonlinear Anal-Real 10: 2905-2908. https://doi.org/10.1016/j.nonrwa.2008.09.009
[23]	Zhou Y, Sun W, Song Y, et al. (2019) Hopf bifurcation analysis of a predator–prey model with Holling-II type functional response and a prey refuge. Nonlinear Dyna 97: 1439-1450. https://doi.org/10.1007/s11071-019-05063-w
[24]	Kar TK (2005) Stability analysis of a prey–predator model incorporating a prey refuge. Commun Nonlinear Sci 10: 681-691. https://doi.org/10.1016/j.cnsns.2003.08.006
[25]	Ma Z, Chen F, Wu C, et al. (2013) Dynamic behaviors of a Lotka–Volterra predator–prey model incorporating a prey refuge and predator mutual interference. Appl Math Comput 219: 7945-7953. https://doi.org/10.1016/j.amc.2013.02.033
[26]	Zhou Y, Guo M (2022) Isolation in the control of epidemic. Math Biosci Eng 19: 10846-10863. https://doi.org/10.3934/mbe.2022507
[27]	Mandal M, Jana S, Nandi SK, et al. (2020) A model based study on the dynamics of COVID-19: prediction and control. Chaos Soliton Fract 136: 109889. https://doi.org/10.1016/j.chaos.2020.109889
[28]	Khajanchi S, Sarkar K (2020) Forecasting the daily and cumulative number of cases for the COVID-19 pandemic in India. Chaos 30: 071101. https://doi.org/10.1063/5.0016240
[29]	Das DK, Khatua A, Kar TK, et al. (2021) The effectiveness of contact tracing in mitigating COVID-19 outbreak: a model-based analysis in the context of India. Appl Math Comput 404: 126207. https://doi.org/10.1016/j.amc.2021.126207
[30]	Liu Y, Lillepold K, Semenza JC, et al. (2020) Reviewing estimates of the basic reproduction number for dengue, Zika and chikungunya across global climate zones. Environ Res 182: 109114. https://doi.org/10.1016/j.envres.2020.109114
[31]	Van den Driessche P, Watmough J (2002) Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math Biosci 180: 29-48. https://doi.org/10.1016/S0025-5564(02)00108-6
[32]	Wuhan Municipal Bureau of Statistics, 2019. Available from: http://tjj.wuhan.gov.cn
[33]	Tang B, Wang X, Li Q, et al. (2020) Estimation of the transmission risk of the 2019-nCoV and its implication for public health interventions. J Clin Med 9: 462. https://doi.org/10.3390/jcm9020462
[34]	Cruz MP, Santos E, Cervantes MAV, et al. (2021) COVID-19, a worldwide public health emergency. Rev Clin Esp 221: 55-61. https://doi.org/10.1016/j.rceng.2020.03.001
[35]	Sun GQ, Wang SF, Li MT, et al. (2020) Transmission dynamics of COVID-19 in Wuhan, China: effects of lockdown and medical resources. Nonlinear Dyna 101: 1981-1993. https://doi.org/10.1007/s11071-020-05770-9
[36]	Ferguson NM, Cummings DAT, Fraser C, et al. (2006) Strategies for mitigating an influenza pandemic. Nature 442: 448-452. https://doi.org/10.1038/nature04795
[37]	Hou C, Chen J, Zhou Y, et al. (2020) The effectiveness of quarantine of Wuhan city against the Corona Virus Disease 2019 (COVID-19): a well-mixed SEIR model analysis. J Med Virol 92: 841-848. https://doi.org/10.1002/jmv.25827
[38]	Keskinocak P, Oruc BE, Baxter A, et al. (2020) The impact of social distancing on COVID19 spread: state of Georgia case study. Plos One 15: e0239798. https://doi.org/10.1371/journal.pone.0239798
[39]	Bou-Karroum L, Khabsa J, Jabbour M, et al. (2021) Public health effects of travel-related policies on the COVID-19 pandemic: a mixed-methods systematic review. J Infection 83: 413-423. https://doi.org/10.1016/j.jinf.2021.07.017
[40]	Chang SL, Harding N, Zachreson C, et al. (2020) Modelling transmission and control of the COVID-19 pandemic in Australia. Nature Commun 11: 5710. https://doi.org/10.1038/s41467-020-19393-6
[41]	Teslya A, Pham TM, Godijk NG, et al. (2020) Impact of self-imposed prevention measures and short-term government-imposed social distancing on mitigating and delaying a COVID-19 epidemic: a modelling study. PloS Med 17: e1003166. https://doi.org/10.1371/journal.pmed.1003166
[42]	Prem K, Liu Y, Russell TW, et al. (2020) The effect of control strategies to reduce social mixing on outcomes of the COVID-19 epidemic in Wuhan, China: a modelling study. Lancet Public Health 5: e261-e270. https://doi.org/10.1016/S2468-2667(20)30073-6
[43]	Nande A, Adlam B, Sheen J, et al. (2021) Dynamics of COVID-19 under social distancing measures are driven by transmission network structure. PloS Comput Biol 17: e1008684. https://doi.org/10.1371/journal.pcbi.1008684
[44]	Tan W, Hao F, McIntyre RS, et al. (2020) Is returning to work during the COVID-19 pandemic stressful? A study on immediate mental health status and psychoneuroimmunity prevention measures of Chinese workforce. Brain Behav Immun 87: 84-92. https://doi.org/10.1016/j.bbi.2020.04.055
[45]	Zhao Z, Li X, Liu F, et al. (2020) Prediction of the COVID-19 spread in African countries and implications for prevention and control: a case study in South Africa, Egypt, Algeria, Nigeria, Senegal and Kenya. Sci Total Environ 729: 138959. https://doi.org/10.1016/j.scitotenv.2020.138959
[46]	Finucane ML, Beckman R, Ghosh-Dastidar M, et al. (2022) Do social isolation and neighborhood walkability influence relationships between COVID-19 experiences and wellbeing in predominantly Black urban areas?. Landscape Urban Plan 217: 104264. https://doi.org/10.1016/j.landurbplan.2021.104264
[47]	Henseler M, Maisonnave H, Maskaeva A (2022) Economic impacts of COVID-19 on the tourism sector in Tanzania. Ann Tourism Res Empir Insights 3: 100042. https://doi.org/10.1016/j.annale.2022.100042
[48]	Xiang M, Zhang Z, Kuwahara K (2020) Impact of COVID-19 pandemic on children and adolescents' lifestyle behavior larger than expected. Prog Cardiovasc Dis 63: 531. https://doi.org/10.1016/j.pcad.2020.04.013
[49]	Zheng D, Luo Q, Ritchie BW (2021) Afraid to travel after COVID-19? Self-protection, coping and resilience against pandemic ‘travel fear’. Tourism Manage 83: 104261. https://doi.org/10.1016/j.tourman.2020.104261
[50]	Tognotti E (2013) Lessons from the history of quarantine, from plague to influenza A. Emerg Infect Dis 19: 254. https://doi.org/10.3201/eid1902.120312
[51]	Upshur R (2003) The ethics of quarantine. AMA J Ethics 5: 393-395. https://doi.org/10.1001/virtualmentor.2003.5.11.msoc1-0311
[52]	Suwantika AA, Dhamanti I, Suharto Y, et al. (2022) The cost-effectiveness of social distancing measures for mitigating the COVID-19 pandemic in a highly-populated country: a case study in Indonesia. Travel Med Infect Di 45: 102245. https://doi.org/10.1016/j.tmaid.2021.102245

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