Periodic dynamic systems for infected hosts and mosquitoes
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 s...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Universidade de São Paulo
1996-06-01
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| Series: | Revista de Saúde Pública |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0034-89101996000300003&lng=en&tlng=en |
| _version_ | 1818022363249246208 |
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| author | W. M. Oliva E. M. Sallum |
| author_facet | W. M. Oliva E. M. Sallum |
| author_sort | W. M. Oliva |
| collection | DOAJ |
| description | 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 <= 1) or if lambda > 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. |
| first_indexed | 2024-04-14T08:31:32Z |
| format | Article |
| id | doaj.art-cbe114885ac84c59a1238a95cc55fe56 |
| institution | Directory Open Access Journal |
| issn | 1518-8787 |
| language | English |
| last_indexed | 2024-04-14T08:31:32Z |
| publishDate | 1996-06-01 |
| publisher | Universidade de São Paulo |
| record_format | Article |
| series | Revista de Saúde Pública |
| spelling | doaj.art-cbe114885ac84c59a1238a95cc55fe562022-12-22T02:03:54ZengUniversidade de São PauloRevista de Saúde Pública1518-87871996-06-0130321822310.1590/s0034-89101996000300003S0034-89101996000300003Periodic dynamic systems for infected hosts and mosquitoesW. M. Oliva0E. M. Sallum1Universidade Técnica de LisboaUniversidade de São PauloA 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 <= 1) or if lambda > 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.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0034-89101996000300003&lng=en&tlng=enMaláriaCulicidaeDinâmica populacionalEcologia de vetores |
| spellingShingle | W. M. Oliva E. M. Sallum Periodic dynamic systems for infected hosts and mosquitoes Revista de Saúde Pública Malária Culicidae Dinâmica populacional Ecologia de vetores |
| title | Periodic dynamic systems for infected hosts and mosquitoes |
| title_full | Periodic dynamic systems for infected hosts and mosquitoes |
| title_fullStr | Periodic dynamic systems for infected hosts and mosquitoes |
| title_full_unstemmed | Periodic dynamic systems for infected hosts and mosquitoes |
| title_short | Periodic dynamic systems for infected hosts and mosquitoes |
| title_sort | periodic dynamic systems for infected hosts and mosquitoes |
| topic | Malária Culicidae Dinâmica populacional Ecologia de vetores |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0034-89101996000300003&lng=en&tlng=en |
| work_keys_str_mv | AT wmoliva periodicdynamicsystemsforinfectedhostsandmosquitoes AT emsallum periodicdynamicsystemsforinfectedhostsandmosquitoes |