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Published in: Journal of Translational Medicine 1/2017

Open Access 01-12-2017 | Research

Mathematical models for devising the optimal Ebola virus disease eradication

Authors: Shuo Jiang, Kaiqin Wang, Chaoqun Li, Guangbin Hong, Xuan Zhang, Menglin Shan, Hongbin Li, Jin Wang

Published in: Journal of Translational Medicine | Issue 1/2017

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Abstract

Background

The 2014–2015 epidemic of Ebola virus disease (EVD) in West Africa defines an unprecedented health threat for human.

Methods

We construct a mathematical model to devise the optimal Ebola virus disease eradication plan. We used mathematical model to investigate the numerical spread of Ebola and eradication pathways, further fit our model against the real total cases data and calculated infection rate as 1.754.

Results

With incorporating hospital isolation and application of medication in our model and analyzing their effect on resisting the spread, we demonstrate the second peak of 10,029 total cases in 23 days, and expect to eradicate EVD in 285 days. Using the regional spread of EVD with our transmission model analysis, we analyzed the numbers of new infections through four important transmission paths including household, community, hospital and unsafe funeral.

Conclusions

Based on the result of the model, we find out the key paths in different situations and propose our suggestion to control regional transmission. We fully considers Ebola characteristics, economic and time optimization, dynamic factors and local condition constraints, and to make our plan realistic, sensible and feasible.
Appendix
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Literature
1.
go back to reference Gatherer D. The 2014 Ebola virus disease outbreak in West Africa. J Gen Virol. 2014;95(Pt 8):1619–24.CrossRefPubMed Gatherer D. The 2014 Ebola virus disease outbreak in West Africa. J Gen Virol. 2014;95(Pt 8):1619–24.CrossRefPubMed
2.
go back to reference Baize S, Pannetier D, Oestereich L, Rieger T, Koivogui L, Magassouba N, et al. Emergence of Zaire Ebola virus disease in Guinea. N Engl J Med. 2014;371(15):1418–25.CrossRefPubMed Baize S, Pannetier D, Oestereich L, Rieger T, Koivogui L, Magassouba N, et al. Emergence of Zaire Ebola virus disease in Guinea. N Engl J Med. 2014;371(15):1418–25.CrossRefPubMed
5.
go back to reference Lewnard JA, Ndeffo Mbah ML, Alfaro-Murillo JA, Altice FL, Bawo L, Nyenswah TG, et al. Dynamics and control of Ebola virus transmission in Montserrado, Liberia: a mathematical modelling analysis. Lancet Infect Dis. 2014;14(12):1189–95.CrossRefPubMedPubMedCentral Lewnard JA, Ndeffo Mbah ML, Alfaro-Murillo JA, Altice FL, Bawo L, Nyenswah TG, et al. Dynamics and control of Ebola virus transmission in Montserrado, Liberia: a mathematical modelling analysis. Lancet Infect Dis. 2014;14(12):1189–95.CrossRefPubMedPubMedCentral
8.
go back to reference World Health Organisation. Ebola virus disease. Aug 2015. Geneva: World Health Organization; 2015. World Health Organisation. Ebola virus disease. Aug 2015. Geneva: World Health Organization; 2015.
9.
go back to reference Schieffelin JS, Jacob ST. Raising the standard for clinical care of patients with Ebola virus disease. Lancet Infect Dis. 2015;15(11):1247–8.CrossRefPubMed Schieffelin JS, Jacob ST. Raising the standard for clinical care of patients with Ebola virus disease. Lancet Infect Dis. 2015;15(11):1247–8.CrossRefPubMed
10.
go back to reference Fahnrich C, Denecke K, Adeoye OO, Benzler J, Claus H, Kirchner G, et al. Surveillance and Outbreak Response Management System (SORMAS) to support the control of the Ebola virus disease outbreak in West Africa. Euro Surveill. 2015;20(12):21071CrossRefPubMed Fahnrich C, Denecke K, Adeoye OO, Benzler J, Claus H, Kirchner G, et al. Surveillance and Outbreak Response Management System (SORMAS) to support the control of the Ebola virus disease outbreak in West Africa. Euro Surveill. 2015;20(12):21071CrossRefPubMed
13.
go back to reference Yamin D, Gertler S, Ndeffo-Mbah ML, Galvani AP. Effect of Ebola progression on transmission and control in Liberia. Ann Intern Med. 2015;162(1):11–7.CrossRefPubMedPubMedCentral Yamin D, Gertler S, Ndeffo-Mbah ML, Galvani AP. Effect of Ebola progression on transmission and control in Liberia. Ann Intern Med. 2015;162(1):11–7.CrossRefPubMedPubMedCentral
18.
go back to reference Faye O, Boelle PY, Heleze E, Faye O, Loucoubar C, Magassouba N, et al. Chains of transmission and control of Ebola virus disease in Conakry, Guinea, in 2014: an observational study. Lancet Infect Dis. 2015;15(3):320–6.CrossRefPubMedPubMedCentral Faye O, Boelle PY, Heleze E, Faye O, Loucoubar C, Magassouba N, et al. Chains of transmission and control of Ebola virus disease in Conakry, Guinea, in 2014: an observational study. Lancet Infect Dis. 2015;15(3):320–6.CrossRefPubMedPubMedCentral
19.
21.
go back to reference Baize S, Pannetier D, Oestereich L, Rieger T, Koivogui L, Magassouba N, et al. Emergence of zaire ebola virus disease in guinea. N Engl J Med. 2014;371(15):1418–25.CrossRefPubMed Baize S, Pannetier D, Oestereich L, Rieger T, Koivogui L, Magassouba N, et al. Emergence of zaire ebola virus disease in guinea. N Engl J Med. 2014;371(15):1418–25.CrossRefPubMed
22.
go back to reference Gire SK, Goba A, Andersen KG, Sealfon RS, Park DJ, Kanneh L, et al. Genomic surveillance elucidates ebola virus origin and transmission during the 2014 outbreak. Science. 2014;345(6202):1369–72.CrossRefPubMedPubMedCentral Gire SK, Goba A, Andersen KG, Sealfon RS, Park DJ, Kanneh L, et al. Genomic surveillance elucidates ebola virus origin and transmission during the 2014 outbreak. Science. 2014;345(6202):1369–72.CrossRefPubMedPubMedCentral
23.
go back to reference Simon-Loriere E, Faye O, Faye O, Koivogui L, Magassouba N, Keita S, et al. Distinct lineages of ebola virus in guinea during the 2014 West African epidemic. Nature. 2015;524(7563):102–4.CrossRefPubMed Simon-Loriere E, Faye O, Faye O, Koivogui L, Magassouba N, Keita S, et al. Distinct lineages of ebola virus in guinea during the 2014 West African epidemic. Nature. 2015;524(7563):102–4.CrossRefPubMed
24.
go back to reference Tong YG, Shi WF, Liu D, Qian J, Liang L, Bo XC, et al. Genetic diversity and evolutionary dynamics of ebola virus in sierra leone. Nature. 2015;24(7563):93–6.CrossRef Tong YG, Shi WF, Liu D, Qian J, Liang L, Bo XC, et al. Genetic diversity and evolutionary dynamics of ebola virus in sierra leone. Nature. 2015;24(7563):93–6.CrossRef
25.
go back to reference Hoenen T, Safronetz D, Groseth A, Wollenberg KR, Koita OA, Diarra B, et al. Virology. Mutation rate and genotype variation of ebola virus from mali case sequences. Science. 2015;348(6230):117–9.CrossRefPubMed Hoenen T, Safronetz D, Groseth A, Wollenberg KR, Koita OA, Diarra B, et al. Virology. Mutation rate and genotype variation of ebola virus from mali case sequences. Science. 2015;348(6230):117–9.CrossRefPubMed
26.
go back to reference Park DJ, Dudas G, Wohl S, Goba A, Whitmer SL, Andersen KG, et al. Ebola virus epidemiology, transmission, and evolution during seven months in sierra leone. Cell. 2015;161(7):1516–26.CrossRefPubMedPubMedCentral Park DJ, Dudas G, Wohl S, Goba A, Whitmer SL, Andersen KG, et al. Ebola virus epidemiology, transmission, and evolution during seven months in sierra leone. Cell. 2015;161(7):1516–26.CrossRefPubMedPubMedCentral
27.
go back to reference Carroll MW, Matthews DA, Hiscox JA, Elmore MJ, Pollakis G, Rambaut A, et al. Temporal and spatial analysis of the 2014–2015 ebola virus outbreak in west africa. Nature. 2015;524(7563):97–101.CrossRefPubMed Carroll MW, Matthews DA, Hiscox JA, Elmore MJ, Pollakis G, Rambaut A, et al. Temporal and spatial analysis of the 2014–2015 ebola virus outbreak in west africa. Nature. 2015;524(7563):97–101.CrossRefPubMed
28.
go back to reference Kugelman JR, Wiley MR, Mate S, Ladner JT, Beitzel B, Fakoli L, Taweh F, et al. Monitoring of ebola virus makona evolution through establishment of advanced genomic capability in liberia. Emerg Infect Dis. 2015;21(7):1135–43.CrossRefPubMedPubMedCentral Kugelman JR, Wiley MR, Mate S, Ladner JT, Beitzel B, Fakoli L, Taweh F, et al. Monitoring of ebola virus makona evolution through establishment of advanced genomic capability in liberia. Emerg Infect Dis. 2015;21(7):1135–43.CrossRefPubMedPubMedCentral
31.
go back to reference Pavot Vincent. Ebola virus vaccines: where do we stand? Clinical. Immunology. 2016;173:44–9. Pavot Vincent. Ebola virus vaccines: where do we stand? Clinical. Immunology. 2016;173:44–9.
32.
go back to reference Chowell G, Hengartner NW, Castillo-Chavez C, Fenimore PW, Hyman JM. The basic reproductive number of Ebola and the effects of public health measures: the cases of Congo and Uganda. J Theor Biol. 2004;229(1):119–26.CrossRefPubMed Chowell G, Hengartner NW, Castillo-Chavez C, Fenimore PW, Hyman JM. The basic reproductive number of Ebola and the effects of public health measures: the cases of Congo and Uganda. J Theor Biol. 2004;229(1):119–26.CrossRefPubMed
35.
go back to reference Merler S, Ajelli M, Fumanelli L, Gomes MF, Piontti AP, Rossi L, et al. Spatiotemporal spread of the 2014 outbreak of Ebola virus disease in Liberia and the effectiveness of non-pharmaceutical interventions: a computational modelling analysis. Lancet Infect Dis. 2015;15(2):204–11.CrossRefPubMedPubMedCentral Merler S, Ajelli M, Fumanelli L, Gomes MF, Piontti AP, Rossi L, et al. Spatiotemporal spread of the 2014 outbreak of Ebola virus disease in Liberia and the effectiveness of non-pharmaceutical interventions: a computational modelling analysis. Lancet Infect Dis. 2015;15(2):204–11.CrossRefPubMedPubMedCentral
37.
go back to reference Chen RT, Carbery B, Mac L, Berns KI, Chapman L, Condit RC, et al. The Brighton collaboration viral vector vaccines safety working group (V3SWG). Vaccine. 2015;33(1):73–5.CrossRefPubMed Chen RT, Carbery B, Mac L, Berns KI, Chapman L, Condit RC, et al. The Brighton collaboration viral vector vaccines safety working group (V3SWG). Vaccine. 2015;33(1):73–5.CrossRefPubMed
38.
go back to reference Flessa S, Marx M. Ebola fever epidemic 2014: a call for sustainable health and development policies. Eur J Health Econ. 2016;17:1–4.CrossRefPubMed Flessa S, Marx M. Ebola fever epidemic 2014: a call for sustainable health and development policies. Eur J Health Econ. 2016;17:1–4.CrossRefPubMed
39.
go back to reference Henderson T, Campbell S. Laboratory preparedness: ebola and other emerging infectious diseases. Now that the immediate crisis has passed, what have hospitals in the United States learned? MLO Med Lab Obs. 2015;47(3):8–9.PubMed Henderson T, Campbell S. Laboratory preparedness: ebola and other emerging infectious diseases. Now that the immediate crisis has passed, what have hospitals in the United States learned? MLO Med Lab Obs. 2015;47(3):8–9.PubMed
40.
go back to reference Shrivastava SR, Shrivastava PS, Ramasamy J. Ebola disease: infection prevention and control in hospital and community settings. Iran J Nurs Midwifery Res. 2015;20(4):526–7.CrossRefPubMedPubMedCentral Shrivastava SR, Shrivastava PS, Ramasamy J. Ebola disease: infection prevention and control in hospital and community settings. Iran J Nurs Midwifery Res. 2015;20(4):526–7.CrossRefPubMedPubMedCentral
Metadata
Title
Mathematical models for devising the optimal Ebola virus disease eradication
Authors
Shuo Jiang
Kaiqin Wang
Chaoqun Li
Guangbin Hong
Xuan Zhang
Menglin Shan
Hongbin Li
Jin Wang
Publication date
01-12-2017
Publisher
BioMed Central
Published in
Journal of Translational Medicine / Issue 1/2017
Electronic ISSN: 1479-5876
DOI
https://doi.org/10.1186/s12967-017-1224-6

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