A model of malaria population dynamics with migrants
We present a compartmental model in ordinary differential equations of malaria disease transmission, accommodating the effect of indoor residual spraying on the vector population. The model allows for influx of infected migrants into the host population and for outflow of recovered migrants. The sys...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-08-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2021361?viewType=HTML |
| _version_ | 1798034515803766784 |
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| author | Peter Witbooi Gbenga Abiodun Mozart Nsuami |
| author_facet | Peter Witbooi Gbenga Abiodun Mozart Nsuami |
| author_sort | Peter Witbooi |
| collection | DOAJ |
| description | We present a compartmental model in ordinary differential equations of malaria disease transmission, accommodating the effect of indoor residual spraying on the vector population. The model allows for influx of infected migrants into the host population and for outflow of recovered migrants. The system is shown to have positive solutions. In the special case of no infected immigrants, we prove global stability of the disease-free equilibrium. Existence of a unique endemic equilibrium point is also established for the case of positive influx of infected migrants. As a case study we consider the combined South African malaria region. Using data covering 31 years, we quantify the effect of malaria infected immigrants on the South African malaria region. |
| first_indexed | 2024-04-11T20:45:14Z |
| format | Article |
| id | doaj.art-5ea96b4aebca4c41abb71a7be6ea8d15 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-04-11T20:45:14Z |
| publishDate | 2021-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-5ea96b4aebca4c41abb71a7be6ea8d152022-12-22T04:04:04ZengAIMS PressMathematical Biosciences and Engineering1551-00182021-08-011867301731710.3934/mbe.2021361A model of malaria population dynamics with migrantsPeter Witbooi 0Gbenga Abiodun 1Mozart Nsuami2Department of Mathematics and Applied Mathematics, University of the Western Cape, Private Bag X17, Bellville 7535, Republic of South AfricaDepartment of Mathematics and Applied Mathematics, University of the Western Cape, Private Bag X17, Bellville 7535, Republic of South AfricaDepartment of Mathematics and Applied Mathematics, University of the Western Cape, Private Bag X17, Bellville 7535, Republic of South AfricaWe present a compartmental model in ordinary differential equations of malaria disease transmission, accommodating the effect of indoor residual spraying on the vector population. The model allows for influx of infected migrants into the host population and for outflow of recovered migrants. The system is shown to have positive solutions. In the special case of no infected immigrants, we prove global stability of the disease-free equilibrium. Existence of a unique endemic equilibrium point is also established for the case of positive influx of infected migrants. As a case study we consider the combined South African malaria region. Using data covering 31 years, we quantify the effect of malaria infected immigrants on the South African malaria region.https://www.aimspress.com/article/doi/10.3934/mbe.2021361?viewType=HTMLvector-borne diseaseinfected immigrantimported infectioneliminationglobal stability |
| spellingShingle | Peter Witbooi Gbenga Abiodun Mozart Nsuami A model of malaria population dynamics with migrants Mathematical Biosciences and Engineering vector-borne disease infected immigrant imported infection elimination global stability |
| title | A model of malaria population dynamics with migrants |
| title_full | A model of malaria population dynamics with migrants |
| title_fullStr | A model of malaria population dynamics with migrants |
| title_full_unstemmed | A model of malaria population dynamics with migrants |
| title_short | A model of malaria population dynamics with migrants |
| title_sort | model of malaria population dynamics with migrants |
| topic | vector-borne disease infected immigrant imported infection elimination global stability |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2021361?viewType=HTML |
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