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mathematical model for vampire bat rabies virus. A threshold <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:msub><mml:mrow><mml:mi>R<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:math> is identified which determines the outcome of the disease. If <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:msub><mml:mrow><mml:mi>R<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:msub><mml:mo>&lt;<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:math>, the disease-free equilibrium is globally asymptotically stable, and if <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mrow><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:mrow><\/mml:math>, the endemic equilibrium is globally asymptotically stable with certain conditions. Through the numerical simulation, the correctness of the theoretical results is verified. We carry out the sensitivity analysis of the parameters which provide a theoretical basis for preventing and controlling the transmission of bat rabies.<\/jats:p>","DOI":"10.1155\/2020\/7032451","type":"journal-article","created":{"date-parts":[[2020,4,13]],"date-time":"2020-04-13T23:31:48Z","timestamp":1586820708000},"page":"1-11","source":"Crossref","is-referenced-by-count":3,"title":["Dynamics of Rabies Epidemics in Vampire Bats"],"prefix":"10.1155","volume":"2020","author":[{"given":"Liang","family":"Tian","sequence":"first","affiliation":[{"name":"Complex Systems Research Center, Shanxi University, Taiyuan, Shanxi 030006, China"},{"name":"Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention, Shanxi University, Taiyuan, Shanxi 030006, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5081-1256","authenticated-orcid":true,"given":"Juping","family":"Zhang","sequence":"additional","affiliation":[{"name":"Complex Systems Research Center, Shanxi University, Taiyuan, Shanxi 030006, China"},{"name":"Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention, Shanxi University, Taiyuan, Shanxi 030006, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2012.01.006"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1155\/2017\/2451237"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1128\/cmr.00017-06"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1010875108"},{"key":"5","first-page":"843","volume":"25","year":"1911","journal-title":"Annals of the Institute Pasteur"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.virusres.2005.03.006"},{"key":"7","year":"1950"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.3201\/eid0801.010108"},{"issue":"3","key":"9","first-page":"175","volume":"38","year":"1997","journal-title":"The Canadian Veterinary Journal"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.cimid.2017.05.008"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1308817110"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1017\/s0950268805003705"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1007\/s00705-007-1033-y"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1590\/0037-8682-0199-2018"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1098\/rspb.2019.1527"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1038\/308181a0"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1080\/13550280802216502"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1089\/vbz.2008.0163"},{"key":"19","year":"2009"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1007\/bf00178324"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1007\/bf00173264"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1016\/s0025-5564(99)00030-9"},{"key":"23","volume":"25","year":"1976","journal-title":"SIAM"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1137\/0520025"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247x(74)90084-5"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1216\/rmjm\/1181073047"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1137\/s0036141094266449"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/7032451.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/7032451.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/7032451.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,13]],"date-time":"2020-04-13T23:31:50Z","timestamp":1586820710000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/complexity\/2020\/7032451\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,4,13]]},"references-count":27,"alternative-id":["7032451","7032451"],"URL":"https:\/\/doi.org\/10.1155\/2020\/7032451","relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"value":"1076-2787","type":"print"},{"value":"1099-0526","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,4,13]]}}}