{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,5]],"date-time":"2025-10-05T22:15:48Z","timestamp":1759702548296},"reference-count":30,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational and Mathematical Methods in Medicine"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>Human papillomavirus (HPV) has been identified as the main etiological factor in the developing of cervical cancer (CC). This finding has propitiated the development of vaccines that help to prevent the HPVs 16 and 18 infection. Both genotypes are associated with 70% of CC worldwide. In the present study, we aimed to determine the emergence of high-risk nonvaccine HPV after actual vaccination scheme to estimate the impact of the current HPV vaccines. A SIR-type model was used to study the HPV dynamics after vaccination. According to the results, our model indicates that the application of the vaccine reduces infection by target or vaccine genotypes as expected. However, numerical simulations of the model suggest the presence of the phenomenon called vaccine\u2014induced pathogen strain replacement. Here, we report the following replacement mechanism: if the effectiveness of cross-protective immunity is not larger than the effectiveness of the vaccine, then the high-risk nonvaccine genotypes emerge. In this scenario, further studies of infection dispersion by HPV are necessary to ascertain the real impact of the current vaccines, primarily because of the different high-risk HPV types that are found in CC.<\/jats:p>","DOI":"10.1155\/2014\/542923","type":"journal-article","created":{"date-parts":[[2014,4,3]],"date-time":"2014-04-03T21:06:40Z","timestamp":1396559200000},"page":"1-8","source":"Crossref","is-referenced-by-count":8,"title":["Dynamics of High-Risk Nonvaccine Human Papillomavirus Types after Actual Vaccination Scheme"],"prefix":"10.1155","volume":"2014","author":[{"given":"Ra\u00fal","family":"Peralta","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Facultad de Ciencias, UNAM. Avenida Universidad 3000, Circuito Exterior S\/N Delegaci\u00f3n Coyoac\u00e1n, C.P. 04510 Ciudad Universitaria, D.F., Mexico"},{"name":"Centro de Ciencias de la Complejidad (C3), Torre de Ingenier\u00eda, UNAM. Avenida Universidad 3000, Circuito Exterior S\/N Delegaci\u00f3n Coyoac\u00e1n, C.P. 04510 Ciudad Universitaria, D.F., Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cruz","family":"Vargas-De-Le\u00f3n","sequence":"additional","affiliation":[{"name":"Hospital General de M\u00e9xico, Dr Balmis No. 148. Col. Doctores C.P. 06726 M\u00e9xico, D.F., Mexico"},{"name":"Unidad Acad\u00e9mica de Matem\u00e1ticas, Universidad Aut\u00f3noma de Guerrero, Avenida L\u00e1zaro C\u00e1rdenas S\/N, Ciudad Universitaria, C.P. 39090 Chilpancingo, GRO, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Augusto","family":"Cabrera","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Facultad de Ciencias, UNAM. Avenida Universidad 3000, Circuito Exterior S\/N Delegaci\u00f3n Coyoac\u00e1n, C.P. 04510 Ciudad Universitaria, D.F., Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pedro","family":"Miramontes","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Facultad de Ciencias, UNAM. Avenida Universidad 3000, Circuito Exterior S\/N Delegaci\u00f3n Coyoac\u00e1n, C.P. 04510 Ciudad Universitaria, D.F., Mexico"},{"name":"Centro de Ciencias de la Complejidad (C3), Torre de Ingenier\u00eda, UNAM. Avenida Universidad 3000, Circuito Exterior S\/N Delegaci\u00f3n Coyoac\u00e1n, C.P. 04510 Ciudad Universitaria, D.F., Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"98","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10. 1016\/S0092-8240(05)80040-0"},{"issue":"137","key":"2","volume":"58","year":"2012","journal-title":"Revista Mexicana de F\u00edsica S"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1007\/s11538-008-9338-x"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1186\/1471-2334-9-119"},{"issue":"4","key":"5","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1016\/S1470-2045(09)70096-8","volume":"10","year":"2009","journal-title":"The lancet Oncology"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1002\/ijc.25396"},{"issue":"8","key":"7","doi-asserted-by":"crossref","first-page":"930","DOI":"10.5858\/2003-127-930-HPEAPH","volume":"127","year":"2003","journal-title":"Archives of Pathology and Laboratory Medicine"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1186\/1750-9378-7-34"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1086\/657321"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/S1470-2045(10)70230-8"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1086\/588140"},{"issue":"1291","key":"13","volume":"206","year":"2012","journal-title":"The Journal of Infectious Diseases"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1098\/rsif.2007.0236"},{"issue":"3","key":"15","doi-asserted-by":"crossref","first-page":"336","DOI":"10.3201\/eid0503.990304","volume":"5","year":"1999","journal-title":"Emerging Infectious Diseases"},{"key":"16","doi-asserted-by":"crossref","first-page":"F175","DOI":"10.1016\/j.vaccine.2012.06.092","volume":"30","year":"2012","journal-title":"Vaccine"},{"key":"17","first-page":"339","volume":"17","year":"2009","journal-title":"Quarterly of Applied Mathematics"},{"issue":"4","key":"18","doi-asserted-by":"crossref","first-page":"1173","DOI":"10.3934\/mbe.2013.10.1173","volume":"10","year":"2013","journal-title":"Mathematical Biosciences and Engineering"},{"issue":"5","key":"19","doi-asserted-by":"crossref","first-page":"1447","DOI":"10.1137\/0153068","volume":"53","year":"1993","journal-title":"SIAM Journal on Applied Mathematics"},{"issue":"1","key":"20","doi-asserted-by":"crossref","first-page":"28","DOI":"10.3201\/eid1301.060438","volume":"13","year":"2007","journal-title":"Emerging Infectious Diseases"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/j.vaccine.2010.07.007"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1007\/s11538-007-9283-0"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1111\/j.1524-4733.2009.00512.x"},{"key":"24","doi-asserted-by":"crossref","first-page":"H1","DOI":"10.1016\/j.vaccine.2013.10.003","volume":"31","year":"2013","journal-title":"Vaccine"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2013.12.028"},{"key":"26","doi-asserted-by":"crossref","first-page":"1121","DOI":"10.1586\/erv.12.83","volume":"11","year":"2012","journal-title":"Expert Review of Vaccines"},{"key":"27","doi-asserted-by":"crossref","first-page":"642","DOI":"10.1016\/j.ygyno.2013.05.033","volume":"130","year":"2013","journal-title":"Gynecologic Oncolog"},{"key":"28","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1542\/peds.2011-3587","volume":"130","year":"2012","journal-title":"Pediatrics"},{"issue":"12","key":"29","volume":"8","year":"2013","journal-title":"PLoS ONE"},{"issue":"12","key":"30","volume":"8","year":"2013","journal-title":"PLoS ONE"},{"issue":"4","key":"31","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1093\/aje\/kwt018","volume":"178","year":"2013","journal-title":"The American Journal of Epidemiology"}],"container-title":["Computational and Mathematical Methods in Medicine"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2014\/542923.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2014\/542923.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2014\/542923.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T19:06:09Z","timestamp":1648753569000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/cmmm\/2014\/542923\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":30,"alternative-id":["542923","542923"],"URL":"https:\/\/doi.org\/10.1155\/2014\/542923","relation":{},"ISSN":["1748-670X","1748-6718"],"issn-type":[{"value":"1748-670X","type":"print"},{"value":"1748-6718","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}