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We first introduce the basic reproduction number <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> for this model and then show that the disease-free periodic solution is globally asymptotically stable when <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>, while there exists at least one positive periodic solution and that the disease is uniformly persistent 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>. In the case where all coefficients are constants, for a special case, we obtain the global stability of the disease-free equilibrium, the uniqueness of the endemic equilibrium, and the permanence of the disease in terms of the basic reproduction number <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><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>. Numerical simulations are carried out to verify the analytic result. Some sensitivity analysis of <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\"><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 performed. Our finding shows that an increase in juvenile exposure will lead to more severe transmission. Moreover, we find that the ignorance of the seasonality may result in underestimation of the basic reproduction number <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M6\"><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>.<\/jats:p>","DOI":"10.1155\/2020\/2050587","type":"journal-article","created":{"date-parts":[[2020,1,29]],"date-time":"2020-01-29T18:30:54Z","timestamp":1580322654000},"page":"1-14","source":"Crossref","is-referenced-by-count":1,"title":["A Periodic West Nile Virus Transmission Model with Stage-Structured Host Population"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1157-028X","authenticated-orcid":true,"given":"Junli","family":"Liu","sequence":"first","affiliation":[{"name":"School of Science, Xi\u2019an Polytechnic University, Xi\u2019an 710048, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tailei","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Science, Chang\u2019an University, Xi\u2019an 710064, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qiaoling","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Science, Xi\u2019an Polytechnic University, Xi\u2019an 710048, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/s1473-3099(02)00368-7"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1111\/j.1749-6632.2001.tb02682.x"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1126\/science.286.5448.2333"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.3201\/eid0903.020628"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1098\/rspb.2003.2608"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1007\/s11538-005-9018-z"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.3934\/mbe.2006.3.145"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1007\/s11538-009-9406-x"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1051\/mmnp\/201712205"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.4269\/ajtmh.2012.11-0342"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2010.08.010"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1007\/s11538-008-9374-6"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.3934\/mbe.2015009"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1007\/s11538-018-0404-8"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2014.10.072"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1007\/s00285-017-1124-7"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2016054"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2016.03.031"},{"volume":"41","volume-title":"Monotone dynamical systems: an introduction to the theory of competitive and cooperative systems","year":"1995","key":"19"},{"key":"20","first-page":"589","volume":"21","year":"1998","journal-title":"Acta Mathematicae Applicatae Sinica"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2006.01.085"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1007\/s10884-008-9111-8"},{"year":"2003","key":"23"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.2307\/2422072"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1098\/rspb.2011.1282"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1007\/bf00178324"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1016\/s0025-5564(02)00108-6"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/2050587.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/2050587.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/2050587.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,29]],"date-time":"2020-01-29T18:30:58Z","timestamp":1580322658000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/complexity\/2020\/2050587\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,1,29]]},"references-count":27,"alternative-id":["2050587","2050587"],"URL":"https:\/\/doi.org\/10.1155\/2020\/2050587","relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2020,1,29]]}}}