Dynamical System Analysis and Optimal Control Measures of Lassa Fever Disease Model
Lassa fever is an animal-borne acute viral illness caused by the Lassa virus. This disease is endemic in parts of West Africa including Benin, Ghana, Guinea, Liberia, Mali, Sierra Leone, and Nigeria. We formulate a mathematical model for Lassa fever disease transmission under the assumption of a hom...
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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/10.1155/2020/7923125 |
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| author | Ifeanyi Sunday Onah Obiora Cornelius Collins Praise-God Uchechukwu Madueme Godwin Christopher Ezike Mbah |
| author_facet | Ifeanyi Sunday Onah Obiora Cornelius Collins Praise-God Uchechukwu Madueme Godwin Christopher Ezike Mbah |
| author_sort | Ifeanyi Sunday Onah |
| collection | DOAJ |
| description | Lassa fever is an animal-borne acute viral illness caused by the Lassa virus. This disease is endemic in parts of West Africa including Benin, Ghana, Guinea, Liberia, Mali, Sierra Leone, and Nigeria. We formulate a mathematical model for Lassa fever disease transmission under the assumption of a homogeneously mixed population. We highlighted the basic factors influencing the transmission of Lassa fever and also determined and analyzed the important mathematical features of the model. We extended the model by introducing various control intervention measures, like external protection, isolation, treatment, and rodent control. The extended model was analyzed and compared with the basic model by appropriate qualitative analysis and numerical simulation approach. We invoked the optimal control theory so as to determine how to reduce the spread of the disease with minimum cost. |
| format | Article |
| id | doaj-art-61f36561b7674517a45df5737aa7ba99 |
| institution | Kabale University |
| 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-61f36561b7674517a45df5737aa7ba992025-02-03T05:52:43ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252020-01-01202010.1155/2020/79231257923125Dynamical System Analysis and Optimal Control Measures of Lassa Fever Disease ModelIfeanyi Sunday Onah0Obiora Cornelius Collins1Praise-God Uchechukwu Madueme2Godwin Christopher Ezike Mbah3Department of Mathematics, University of Nigeria, Nsukka, NigeriaInstitute of Systems Science, Durban University of Technology, Durban 4000, South AfricaDepartment of Mathematics, University of Nigeria, Nsukka, NigeriaDepartment of Mathematics, University of Nigeria, Nsukka, NigeriaLassa fever is an animal-borne acute viral illness caused by the Lassa virus. This disease is endemic in parts of West Africa including Benin, Ghana, Guinea, Liberia, Mali, Sierra Leone, and Nigeria. We formulate a mathematical model for Lassa fever disease transmission under the assumption of a homogeneously mixed population. We highlighted the basic factors influencing the transmission of Lassa fever and also determined and analyzed the important mathematical features of the model. We extended the model by introducing various control intervention measures, like external protection, isolation, treatment, and rodent control. The extended model was analyzed and compared with the basic model by appropriate qualitative analysis and numerical simulation approach. We invoked the optimal control theory so as to determine how to reduce the spread of the disease with minimum cost.http://dx.doi.org/10.1155/2020/7923125 |
| spellingShingle | Ifeanyi Sunday Onah Obiora Cornelius Collins Praise-God Uchechukwu Madueme Godwin Christopher Ezike Mbah Dynamical System Analysis and Optimal Control Measures of Lassa Fever Disease Model International Journal of Mathematics and Mathematical Sciences |
| title | Dynamical System Analysis and Optimal Control Measures of Lassa Fever Disease Model |
| title_full | Dynamical System Analysis and Optimal Control Measures of Lassa Fever Disease Model |
| title_fullStr | Dynamical System Analysis and Optimal Control Measures of Lassa Fever Disease Model |
| title_full_unstemmed | Dynamical System Analysis and Optimal Control Measures of Lassa Fever Disease Model |
| title_short | Dynamical System Analysis and Optimal Control Measures of Lassa Fever Disease Model |
| title_sort | dynamical system analysis and optimal control measures of lassa fever disease model |
| url | http://dx.doi.org/10.1155/2020/7923125 |
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