The dynamics of multiple species and strains of malaria
This paper presents a deterministic SIS model for the transmission dynamics of malaria, a life-threatening disease transmitted by mosquitos. Four species of the parasite genus Plasmodium are known to cause human malaria. Some species of the parasite have evolved into strains that are resistant to tr...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Intercollegiate Biomathematics Alliance
2016-01-01
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| Series: | Letters in Biomathematics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/23737867.2016.1157449 |
| _version_ | 1818335313879105536 |
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| author | Ephraim Agyingi Matthias Ngwa Tamas Wiandt |
| author_facet | Ephraim Agyingi Matthias Ngwa Tamas Wiandt |
| author_sort | Ephraim Agyingi |
| collection | DOAJ |
| description | This paper presents a deterministic SIS model for the transmission dynamics of malaria, a life-threatening disease transmitted by mosquitos. Four species of the parasite genus Plasmodium are known to cause human malaria. Some species of the parasite have evolved into strains that are resistant to treatment. Although proportions of Plasmodium species vary considerably between geographic regions, multiple species and strains do coexist within some communities. The mathematical model derived here includes all available species and strains for a given community. The model has a disease-free equilibrium, which is a global attractor when the reproduction number of each species or strain is less than one. The model possesses quasi-endemic equilibria; local asymptotic stability is established for two species, and numerical simulations suggest that the species or strain with the highest reproduction number exhibits competitive exclusion. |
| first_indexed | 2024-12-13T14:21:27Z |
| format | Article |
| id | doaj.art-a0cac558787c4f569014bde175b09b7a |
| institution | Directory Open Access Journal |
| issn | 2373-7867 |
| language | English |
| last_indexed | 2024-12-13T14:21:27Z |
| publishDate | 2016-01-01 |
| publisher | Intercollegiate Biomathematics Alliance |
| record_format | Article |
| series | Letters in Biomathematics |
| spelling | doaj.art-a0cac558787c4f569014bde175b09b7a2022-12-21T23:42:05ZengIntercollegiate Biomathematics AllianceLetters in Biomathematics2373-78672016-01-0131294010.1080/23737867.2016.11574491157449The dynamics of multiple species and strains of malariaEphraim Agyingi0Matthias Ngwa1Tamas Wiandt2Rochester Institute of TechnologyRochester Institute of TechnologyRochester Institute of TechnologyThis paper presents a deterministic SIS model for the transmission dynamics of malaria, a life-threatening disease transmitted by mosquitos. Four species of the parasite genus Plasmodium are known to cause human malaria. Some species of the parasite have evolved into strains that are resistant to treatment. Although proportions of Plasmodium species vary considerably between geographic regions, multiple species and strains do coexist within some communities. The mathematical model derived here includes all available species and strains for a given community. The model has a disease-free equilibrium, which is a global attractor when the reproduction number of each species or strain is less than one. The model possesses quasi-endemic equilibria; local asymptotic stability is established for two species, and numerical simulations suggest that the species or strain with the highest reproduction number exhibits competitive exclusion.http://dx.doi.org/10.1080/23737867.2016.1157449Malaria transmissionmultiple speciesresistant strains |
| spellingShingle | Ephraim Agyingi Matthias Ngwa Tamas Wiandt The dynamics of multiple species and strains of malaria Letters in Biomathematics Malaria transmission multiple species resistant strains |
| title | The dynamics of multiple species and strains of malaria |
| title_full | The dynamics of multiple species and strains of malaria |
| title_fullStr | The dynamics of multiple species and strains of malaria |
| title_full_unstemmed | The dynamics of multiple species and strains of malaria |
| title_short | The dynamics of multiple species and strains of malaria |
| title_sort | dynamics of multiple species and strains of malaria |
| topic | Malaria transmission multiple species resistant strains |
| url | http://dx.doi.org/10.1080/23737867.2016.1157449 |
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