African Trypanosomiasis Dynamics: Modelling the Effects of Treatment, Education, and Vector Trapping
African trypanosomiasis is a vector-borne disease that is mainly transmitted by infected tsetse flies. A deterministic model of tsetse fly vector, human, and cattle hosts is formulated and analyzed to gain insights into the disease dynamics. The roles of public health education, treatment, and tsets...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2020/3690472 |
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| author | Yustina A. Liana Nyimvua Shaban Goodluck Mlay Anitha Phibert |
| author_facet | Yustina A. Liana Nyimvua Shaban Goodluck Mlay Anitha Phibert |
| author_sort | Yustina A. Liana |
| collection | DOAJ |
| description | African trypanosomiasis is a vector-borne disease that is mainly transmitted by infected tsetse flies. A deterministic model of tsetse fly vector, human, and cattle hosts is formulated and analyzed to gain insights into the disease dynamics. The roles of public health education, treatment, and tsetse fly traps are studied. The effective reproduction number, a threshold used to determine whether the disease persists or dies out in the population, is determined. The sensitivity analysis of the model parameters is performed to determine their relationship with the effective reproduction number. The results show that the tsetse fly biting rate is the most sensitive parameter to the effective reproduction number. Furthermore, the model’s numerical simulation shows that a combination of all three interventions has the most significant impact on the control of African trypanosomiasis. Thus, we recommend that these control measures be put concurrently in endemic areas for effective control of the disease transmission. |
| format | Article |
| id | doaj-art-9c100f78e30b46aaa09b1358164e41a7 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9c100f78e30b46aaa09b1358164e41a72025-08-20T02:20:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252020-01-01202010.1155/2020/36904723690472African Trypanosomiasis Dynamics: Modelling the Effects of Treatment, Education, and Vector TrappingYustina A. Liana0Nyimvua Shaban1Goodluck Mlay2Anitha Phibert3Department of Mathematics, University of Dar es Salaam, Dar es Salaam, TanzaniaDepartment of Mathematics, University of Dar es Salaam, Dar es Salaam, TanzaniaDepartment of Mathematics, University of Dar es Salaam, Dar es Salaam, TanzaniaDepartment of Zoology and Wildlife Conservation, University of Dar es Salaam Postal address, P.O.Box 35062, Dar es Salaam, TanzaniaAfrican trypanosomiasis is a vector-borne disease that is mainly transmitted by infected tsetse flies. A deterministic model of tsetse fly vector, human, and cattle hosts is formulated and analyzed to gain insights into the disease dynamics. The roles of public health education, treatment, and tsetse fly traps are studied. The effective reproduction number, a threshold used to determine whether the disease persists or dies out in the population, is determined. The sensitivity analysis of the model parameters is performed to determine their relationship with the effective reproduction number. The results show that the tsetse fly biting rate is the most sensitive parameter to the effective reproduction number. Furthermore, the model’s numerical simulation shows that a combination of all three interventions has the most significant impact on the control of African trypanosomiasis. Thus, we recommend that these control measures be put concurrently in endemic areas for effective control of the disease transmission.http://dx.doi.org/10.1155/2020/3690472 |
| spellingShingle | Yustina A. Liana Nyimvua Shaban Goodluck Mlay Anitha Phibert African Trypanosomiasis Dynamics: Modelling the Effects of Treatment, Education, and Vector Trapping International Journal of Mathematics and Mathematical Sciences |
| title | African Trypanosomiasis Dynamics: Modelling the Effects of Treatment, Education, and Vector Trapping |
| title_full | African Trypanosomiasis Dynamics: Modelling the Effects of Treatment, Education, and Vector Trapping |
| title_fullStr | African Trypanosomiasis Dynamics: Modelling the Effects of Treatment, Education, and Vector Trapping |
| title_full_unstemmed | African Trypanosomiasis Dynamics: Modelling the Effects of Treatment, Education, and Vector Trapping |
| title_short | African Trypanosomiasis Dynamics: Modelling the Effects of Treatment, Education, and Vector Trapping |
| title_sort | african trypanosomiasis dynamics modelling the effects of treatment education and vector trapping |
| url | http://dx.doi.org/10.1155/2020/3690472 |
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