{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,21]],"date-time":"2026-07-21T16:58:06Z","timestamp":1784653086879,"version":"3.55.0"},"reference-count":16,"publisher":"American Institute of Mathematical Sciences (AIMS)","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019]]},"DOI":"10.3934\/mbe.2019159","type":"journal-article","created":{"date-parts":[[2019,4,15]],"date-time":"2019-04-15T00:10:35Z","timestamp":1555287035000},"page":"3195-3214","source":"Crossref","is-referenced-by-count":22,"title":["Biological view of vaccination described by mathematical modellings: from rubella to dengue vaccines"],"prefix":"10.3934","volume":"16","author":[{"given":"Hyun","family":"Mo Yang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"name":"1 Department de Matem\u00e1tica Aplicada, Universidade Estadual de Campinas, Campinas, SP, Brazil","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Andr\u00e9","family":"Ricardo Ribas Freitas","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"name":"2 Department of epidemiology, Faculty of Medicina S\u00e3o Leopoldo Mandic, Campinas, SP, Brazil","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"2321","reference":[{"key":"9","article-title":"H. Yang, <\/i>Epidemiologia","unstructured":"9. H. Yang, <\/i>Epidemiologia Matem\u00e1tica: Estudo dos Efeitos da Vacina\u00b8c\u00e3o em Doen\u00b8cas de Transmiss\u00e3o Direta,<\/i> Edunicamp & Fapesp, Campinas, 2001."},{"key":"19","article-title":"L. Freitas, <\/i>Vacina\u00b8c\u00e3o de Doen\u00b8cas Infecciosas de Transmiss\u00e3o","unstructured":"19. L. Freitas, <\/i>Vacina\u00b8c\u00e3o de Doen\u00b8cas Infecciosas de Transmiss\u00e3o Direta: Quantificando Condi\u00b8c\u00f5es de Controle Considerando Portadores,<\/i> Ph.D thesis, State University at Campinas City (Brazil), 2018."},{"key":"22","article-title":"R. Anderson and R. May, <\/i>Infectious Diseases of","unstructured":"22. R. Anderson and R. May, <\/i>Infectious Diseases of Human: Dynamics and Control,<\/i> Oxford University Press, Oxford, New York, Tokyo, 1991."},{"key":"23","article-title":"O. Zgorniak-Nowosielska, B. Zawillinska and S. Szostek, Rubella infection during pregnancy in the 1985-86","unstructured":"23. O. Zgorniak-Nowosielska, B. Zawillinska and S. Szostek, Rubella infection during pregnancy in the 1985-86 epidemic: follow-up after seven years, <\/i>Eur. J. Epidemiol.,<\/i> 12 (1996), 303\u2013308."},{"key":"24","article-title":"S.W. Bart, H. C. Steller, S. R. Preblud, et al., Fetal risk associated with rubella","unstructured":"24. S.W. Bart, H. C. Steller, S. R. Preblud, et al., Fetal risk associated with rubella vaccine: an update, <i>Rev. Infect. Dis.,<\/i> 7 (1985), S95\u2013102."},{"key":"36","article-title":"H. K. Sato, A. T. Sanajotta, J. C. Moraes, et al., Rubella vaccination of unknowingly pregnant","unstructured":"36. H. K. Sato, A. T. Sanajotta, J. C. Moraes, et al., Rubella vaccination of unknowingly pregnant women: the S\u00e3o Paulo experience, 2001, <\/i>J. Infect. Dis.,<\/i> 204 (2011), S734\u2013744."},{"key":"37","article-title":"G. R. da Silva e S\u00e1, L. A. Camacho, M. S. Stavola, et al., Pregnancy outcomes following rubella","unstructured":"37. G. R. da Silva e S\u00e1, L. A. Camacho, M. S. Stavola, et al., Pregnancy outcomes following rubella vaccination: a prospective study in the state of Rio de Janeiro, Brazil, 2001-2002, <\/i>J. Infect. Dis.,<\/i> 204 (2011), S722\u2013728."},{"key":"41","article-title":"S. B. Halstead, S. Mahalingam, M. A. Marovich, et al., Intrinsic antibody-dependent enhanced of microbial infection in","unstructured":"41. S. B. Halstead, S. Mahalingam, M. A. Marovich, et al., Intrinsic antibody-dependent enhanced of microbial infection in macrophages: disease regulation by immune complexies, <\/i>Lancet Infect. Dis.,<\/i> 10 (2010), 712\u2013722."},{"key":"43","article-title":"WHO, Immunization, vaccines and biologicals, 2017. Available","unstructured":"43. WHO, Immunization, vaccines and biologicals, 2017. Available from: http:\/\/www.who.int\/ immunization\/research\/development\/dengue_vaccines\/en\/."},{"key":"45","article-title":"S. Gailhardou, A. Skipetrova, G. H. Dayan, et al., Safety overview of a recombinant live-attenuated tetravalent dengue","unstructured":"45. S. Gailhardou, A. Skipetrova, G. H. Dayan, et al., Safety overview of a recombinant live-attenuated tetravalent dengue vaccine: pooled analysis of data from 18 clinical trials, <\/i>Plos NTD,<\/i> 10 (2016), 1\u201325."},{"key":"46","article-title":"L. J. Scott, Tetravalent dengue","unstructured":"46. L. J. Scott, Tetravalent dengue vaccine: a review in the prevention of dengue disease, <\/i>Drugs,<\/i> 76 (2016), 1301\u20131312."},{"key":"50","article-title":"Sanofi updates information on dengue vaccine, Nov. 29, 2017, Sanofi, 2017. Available","unstructured":"50. Sanofi updates information on dengue vaccine, Nov. 29, 2017, Sanofi, 2017. Available from: http:\/\/mediaroom.sanofi.com\/sanofi-updates-information-on-dengue-vaccine\/."},{"key":"51","article-title":"Philippines gripped by dengue vaccine fears, Feb. 3, 2018, BBC, 2017. Available from:","unstructured":"51. Philippines gripped by dengue vaccine fears, Feb. 3, 2018, BBC, 2017. Available from: http: \/\/www.bbc.com\/news\/world-asia-42929255."},{"key":"60","article-title":"M. C. Gomez and H. M. Yang, A simple mathematical model to describe antibody-dependent enhancement in heterologous secondary infection in dengue, <\/i>Math. Med. Biol.: A Journ. IMA,<\/i> (2016),","unstructured":"60. M. C. Gomez and H. M. Yang, A simple mathematical model to describe antibody-dependent enhancement in heterologous secondary infection in dengue, <\/i>Math. Med. Biol.: A Journ. IMA,<\/i> (2016), DOI: 10.1093\/imammb\/dqy016."},{"key":"61","article-title":"WHO, Dengue","unstructured":"61. WHO, Dengue vaccine: WHO position paper \u2013 July 2016, <\/i>Weekly epidemiological record,<\/i> 30 (2016), 349\u2013364."},{"key":"65","article-title":"H. M. Yang and D. Greenhalgh, Proof of conjecture","unstructured":"65. H. M. Yang and D. Greenhalgh, Proof of conjecture in: The basic reproduction number obtained from Jacobian and next generation matrices \u2013 A case study of dengue transmission modelling, <i>Appl. Math. Comput.,<\/i> 265 (2015), 103\u2013107."}],"container-title":["Mathematical Biosciences and Engineering"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.aimspress.com\/article\/10.3934\/mbe.2019159","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,15]],"date-time":"2019-04-15T00:10:36Z","timestamp":1555287036000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.aimspress.com\/article\/10.3934\/mbe.2019159"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019]]},"references-count":16,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2019]]}},"URL":"https:\/\/doi.org\/10.3934\/mbe.2019159","relation":{},"ISSN":["1551-0018"],"issn-type":[{"value":"1551-0018","type":"print"}],"subject":[],"published":{"date-parts":[[2019]]}}}