Mathematical Modelling of the Spread and Control of Onchocerciasis in Tropical Countries: Case Study in Nigeria
Onchocerciasis, also known as river blindness and Robles disease, is a parasitic disease caused by Onchocerca volvulus, a nematode (roundworm), and it is endemic in tropical countries like Nigeria. The objective of this paper is to discuss the mathematical formulation underpinning the spread and con...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/631658 |
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| author | Ikechukwu Chiwueze Oguoma Thomas Mbah Acho |
| author_facet | Ikechukwu Chiwueze Oguoma Thomas Mbah Acho |
| author_sort | Ikechukwu Chiwueze Oguoma |
| collection | DOAJ |
| description | Onchocerciasis, also known as river blindness and Robles disease, is a parasitic disease caused by Onchocerca volvulus, a nematode (roundworm), and it is endemic in tropical countries like Nigeria. The objective of this paper is to discuss the mathematical formulation underpinning the spread and control of this disease on one hand. On the other hand, we make use of some new analytical methods to derive the solution of the resulting set of equations. The numerical results are presented to test the efficiency and the accuracy of both methods. The techniques used for solving these problems are friendly, very easy, and less time consuming. The numerical solutions in both cases display the biological behaviour of the real life situation. |
| format | Article |
| id | doaj-art-cd924d8755c340de98d254de1bf30a3a |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cd924d8755c340de98d254de1bf30a3a2025-08-20T03:19:35ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/631658631658Mathematical Modelling of the Spread and Control of Onchocerciasis in Tropical Countries: Case Study in NigeriaIkechukwu Chiwueze Oguoma0Thomas Mbah Acho1Department of Mathematics and Applied Mathematics, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South AfricaDepartment of Mathematics and Applied Mathematics, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South AfricaOnchocerciasis, also known as river blindness and Robles disease, is a parasitic disease caused by Onchocerca volvulus, a nematode (roundworm), and it is endemic in tropical countries like Nigeria. The objective of this paper is to discuss the mathematical formulation underpinning the spread and control of this disease on one hand. On the other hand, we make use of some new analytical methods to derive the solution of the resulting set of equations. The numerical results are presented to test the efficiency and the accuracy of both methods. The techniques used for solving these problems are friendly, very easy, and less time consuming. The numerical solutions in both cases display the biological behaviour of the real life situation.http://dx.doi.org/10.1155/2014/631658 |
| spellingShingle | Ikechukwu Chiwueze Oguoma Thomas Mbah Acho Mathematical Modelling of the Spread and Control of Onchocerciasis in Tropical Countries: Case Study in Nigeria Abstract and Applied Analysis |
| title | Mathematical Modelling of the Spread and Control of Onchocerciasis in Tropical Countries: Case Study in Nigeria |
| title_full | Mathematical Modelling of the Spread and Control of Onchocerciasis in Tropical Countries: Case Study in Nigeria |
| title_fullStr | Mathematical Modelling of the Spread and Control of Onchocerciasis in Tropical Countries: Case Study in Nigeria |
| title_full_unstemmed | Mathematical Modelling of the Spread and Control of Onchocerciasis in Tropical Countries: Case Study in Nigeria |
| title_short | Mathematical Modelling of the Spread and Control of Onchocerciasis in Tropical Countries: Case Study in Nigeria |
| title_sort | mathematical modelling of the spread and control of onchocerciasis in tropical countries case study in nigeria |
| url | http://dx.doi.org/10.1155/2014/631658 |
| work_keys_str_mv | AT ikechukwuchiwuezeoguoma mathematicalmodellingofthespreadandcontrolofonchocerciasisintropicalcountriescasestudyinnigeria AT thomasmbahacho mathematicalmodellingofthespreadandcontrolofonchocerciasisintropicalcountriescasestudyinnigeria |