{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,4]],"date-time":"2024-08-04T20:32:34Z","timestamp":1722803554282},"reference-count":12,"publisher":"FapUNIFESP (SciELO)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Rev. Sa\u00fade P\u00fablica"],"published-print":{"date-parts":[[1996,6]]},"abstract":"<jats:p>A mathematical model for the purpose of analysing the dynamic of the populations of infected hosts anf infected mosquitoes when the populations of mosquitoes are periodic in time is here presented. By the computation of a parameter lambda (the spectral radius of a certain monodromy matrix) one can state that either the infection peters out naturally) (lambda &lt;= 1) or if lambda &gt; 1 the infection becomes endemic. The model generalizes previous models for malaria by considering the case of periodic coefficients; it is also a variation of that for gonorrhea. The main motivation for the consideration of this present model was the recent studies on mosquitoes at an experimental rice irrigation system, in the South-Eastern region of Brazil.<\/jats:p>","DOI":"10.1590\/s0034-89101996000300003","type":"journal-article","created":{"date-parts":[[2005,4,27]],"date-time":"2005-04-27T14:13:36Z","timestamp":1114611216000},"page":"218-223","source":"Crossref","is-referenced-by-count":2,"title":["Periodic dynamic systems for infected hosts and mosquitoes"],"prefix":"10.1590","volume":"30","author":[{"given":"W. M.","family":"Oliva","sequence":"first","affiliation":[{"name":"Universidade T\u00e9cnica de Lisboa,  Portugal"}]},{"given":"E. M.","family":"Sallum","sequence":"additional","affiliation":[{"name":"Universidade de S\u00e3o Paulo,  Brasil"}]}],"member":"530","reference":[{"key":"ref1","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1016\/0025-5564(80)90079-6","article-title":"A deterministic model in biomathematics.: Asymptotic behavior and threshold conditions","volume":"49","author":"ARONSON G.","year":"1980","journal-title":"Math. Biosci.","ISSN":"http:\/\/id.crossref.org\/issn\/0025-5564","issn-type":"print"},{"key":"ref2","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1016\/0035-9203(86)90199-9","article-title":"Population dynamics of mosquito-borne deseases: effects of flies which bite some peoples more frequently than others","volume":"80","author":"DYE C","year":"1986","journal-title":"Trans. R. Soc. Trop. Med. Hyg."},{"key":"ref3","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1016\/0040-5809(88)90003-2","article-title":"Population dynamics of mosquito-borne diseases: persistence in a completely heterogeneous environment","volume":"33","author":"DYE C.","year":"1988","journal-title":"Theoret. Pop. Biol."},{"key":"ref4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1590\/S0034-89101993000100001","article-title":"Studies on mosquitoes (Diptera: Culicidae) and anthropic environment.: 1. Parity of blood seeking Anopheles (Kerteszia) in South-Eastern Brazil","volume":"27","author":"FORATTINI O.P.","year":"1993","journal-title":"Rev. Sa\u00fade P\u00fablica","ISSN":"http:\/\/id.crossref.org\/issn\/0034-8910","issn-type":"print"},{"key":"ref5","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1590\/S0034-89101993000400001","article-title":"Studies on mosquitoes (Diptera: Culicidae) and anthropic environment.: 2. Immature stages research at a rice irrigation system location in South-Eastern Brazil.","volume":"27","author":"FORATTINI O.P.","year":"1993","journal-title":"Rev. Sa\u00fade P\u00fablica","ISSN":"http:\/\/id.crossref.org\/issn\/0034-8910","issn-type":"print"},{"key":"ref6","first-page":"318","article-title":"Studies on mosquitoes (Diptera: Culicidae) and anthropic environment.: 3. Survey of adult stages at the rice irrigation system and the emergence of Anopheles albitarsis in South-Eastern Brazil","volume":"27","author":"FORATTINI O.P.","year":"1993","journal-title":"Rev. Sa\u00fade P\u00fablica","ISSN":"http:\/\/id.crossref.org\/issn\/0034-8910","issn-type":"print"},{"key":"ref7","doi-asserted-by":"crossref","first-page":"398","DOI":"10.1590\/S0034-89101993000600002","article-title":"Studies on mosquitoes (Diptera: Culicidae) and anthropic environment: 4. Survey of resting adults and synanthropic behavior in South-Eastern Brazil","volume":"27","author":"FORATTINI O.P.","year":"1993","journal-title":"Rev. Sa\u00fade P\u00fablica","ISSN":"http:\/\/id.crossref.org\/issn\/0034-8910","issn-type":"print"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1590\/S0034-89101994000500003","article-title":"Studies on mosquitoes (Diptera: Culicidae) and anthropic environment.: 5. Breeding of Anopheles albitarsis in flooded rice fields in South-Eastern Brazil","volume":"28","author":"FORATTINI O.P.","year":"1994","journal-title":"Rev. Sa\u00fade P\u00fablica","ISSN":"http:\/\/id.crossref.org\/issn\/0034-8910","issn-type":"print"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1590\/S0034-89101994000600001","article-title":"Studies on mosquitoes (Diptera: Culicidae) and anthropic environment.: 6. Breeding in empty conditions of rice fields in South-Eastern Brazil","volume":"28","author":"FORATTINI O.P.","year":"1994","journal-title":"Rev. Sa\u00fade P\u00fablica","ISSN":"http:\/\/id.crossref.org\/issn\/0034-8910","issn-type":"print"},{"key":"ref10","series-title":"The theory of matrices","volume":"2","author":"GANTMACHER F. R.","year":"1959"},{"key":"ref11","series-title":"Aplica\u00e7\u00f5es da topologia \u00e0 an\u00e1lise","author":"H\u00d6NIG C. S.","year":"1976"},{"key":"ref12","article-title":"Contrib. to the analysis of malaria epidemiology","volume":"3","author":"LOTKA A. J.","year":"1923","journal-title":"Am. J. Hyg."}],"container-title":["Revista de Sa\u00fade P\u00fablica"],"original-title":[],"link":[{"URL":"http:\/\/www.scielo.br\/pdf\/rsp\/v30n3\/5065.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,5,24]],"date-time":"2017-05-24T22:28:38Z","timestamp":1495664918000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.scielo.br\/scielo.php?script=sci_arttext&pid=S0034-89101996000300003&lng=en&tlng=en"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,6]]},"references-count":12,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1996,6]]}},"alternative-id":["S0034-89101996000300003"],"URL":"https:\/\/doi.org\/10.1590\/s0034-89101996000300003","relation":{},"ISSN":["0034-8910"],"issn-type":[{"value":"0034-8910","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,6]]}}}