{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T16:19:50Z","timestamp":1761581990216,"version":"3.37.3"},"reference-count":29,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,7,30]],"date-time":"2020-07-30T00:00:00Z","timestamp":1596067200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11661076","2018Q011"],"award-info":[{"award-number":["11661076","2018Q011"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010829","name":"Department of Education, Xinjiang Uygur Autonomous Region","doi-asserted-by":"publisher","award":["11661076","2018Q011"],"award-info":[{"award-number":["11661076","2018Q011"]}],"id":[{"id":"10.13039\/501100010829","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,7,30]]},"abstract":"<jats:p>Currently, a novel coronavirus (2019-nCoV) causes an outbreak of viral pneumonia in Hubei province, China. In this paper, stochastic and deterministic models are proposed to investigate the transmission mechanism of 2019-nCoV from 15 January to 5 February 2020 in Hubei province. For the deterministic model, basic reproduction number <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:msub><mml:mrow><mml:mi>R<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:math> is defined and endemic equilibrium is given. Under <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:msub><mml:mrow><mml:mi>R<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:msub><mml:mo>&gt;<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:math>, quasi-stationary distribution of the stochastic process is approximated by Gaussian diffusion. Residual, sensitivity, dynamical, and diffusion analyses of the models are conducted. Further, control variables are introduced to the deterministic model and optimal strategies are provided. Based on empirical results, we suggest that the first and most important thing is to control input, screening, treatment, and isolation.<\/jats:p>","DOI":"10.1155\/2020\/9012178","type":"journal-article","created":{"date-parts":[[2020,7,31]],"date-time":"2020-07-31T00:43:42Z","timestamp":1596156222000},"page":"1-12","source":"Crossref","is-referenced-by-count":2,"title":["2019-nCoV Transmission in Hubei Province, China: Stochastic and Deterministic Analyses"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3646-0784","authenticated-orcid":true,"given":"Zhiming","family":"Li","sequence":"first","affiliation":[{"name":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 834800, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0567-4699","authenticated-orcid":true,"given":"Zhidong","family":"Teng","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 834800, China"}]},{"given":"Changxing","family":"Ma","sequence":"additional","affiliation":[{"name":"Department of Biostatistics, University at Buffalo, Buffalo 14214, USA"}]}],"member":"311","reference":[{"year":"2020","key":"1"},{"year":"2020","key":"2"},{"year":"2020","key":"4"},{"year":"2020","key":"5"},{"year":"2020","key":"6"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.2807\/1560-7917.es.2020.25.5.2000062"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1101\/2020.01.19.911669"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijid.2020.02.058"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/s0140-6736(20)30260-9"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.jiph.2020.05.014"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijid.2020.04.010"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.3934\/mbe.2020147"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/S0140-6736(20)30317-2"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1001\/jama.2020.1490"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1101\/2020.02.03.20020206"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/S0140-6736(20)30154-9"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.3390\/jcm9020462"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.3390\/jcm9020388"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijid.2020.01.050"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/s0025-5564(02)00098-6"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1186\/s13662-016-1010-4"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1137\/s0036144500371907"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1016\/j.jkss.2009.08.005"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1016\/j.micinf.2020.01.004"},{"volume-title":"Quasi-stationary distributions","year":"2011","key":"26"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1016\/s0025-5564(98)10059-7"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1016\/j.tpb.2006.08.001"},{"volume":"36","volume-title":"Approximation of population processes","year":"1981","key":"29"},{"key":"30","doi-asserted-by":"publisher","DOI":"10.2307\/1426205"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/9012178.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/9012178.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/9012178.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,7,31]],"date-time":"2020-07-31T00:43:46Z","timestamp":1596156226000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/complexity\/2020\/9012178\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,7,30]]},"references-count":29,"alternative-id":["9012178","9012178"],"URL":"https:\/\/doi.org\/10.1155\/2020\/9012178","relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2020,7,30]]}}}