Dynamical System Analysis of a Lassa Fever Model with Varying Socioeconomic Classes
Lassa fever is an animal-borne acute viral illness caused by Lassa virus. It poses a serious health challenge around the world today, especially in West African countries like Ghana, Benin, Guinea, Liberia, Mali, Sierra Leone, and Nigeria. In this work, we formulate a multiple-patch Lassa fever mode...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/2601706 |
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| author | Ifeanyi Sunday Onah Obiora Cornelius Collins |
| author_facet | Ifeanyi Sunday Onah Obiora Cornelius Collins |
| author_sort | Ifeanyi Sunday Onah |
| collection | DOAJ |
| description | Lassa fever is an animal-borne acute viral illness caused by Lassa virus. It poses a serious health challenge around the world today, especially in West African countries like Ghana, Benin, Guinea, Liberia, Mali, Sierra Leone, and Nigeria. In this work, we formulate a multiple-patch Lassa fever model, where each patch denotes a socioeconomic class (SEC). Some of the important epidemiological features such as basic reproduction number of the model were determined and analysed accordingly. We further investigated how varying SECs affect the transmission dynamics of Lassa fever. We analysed the required state at which each SEC is responsible in driving the Lassa fever disease outbreak. Sensitivity analyses were carried out to determine the importance of model parameters to the disease transmission and prevalence. We carried out numerical simulation to support our analytical results. Finally, we extend some of the results of the 2-patch model to the general n-patch model. |
| format | Article |
| id | doaj-art-daad0ce8da8e42b4a79647d10e9eb5e2 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-daad0ce8da8e42b4a79647d10e9eb5e22025-02-03T06:43:42ZengWileyJournal of Applied Mathematics1110-757X1687-00422020-01-01202010.1155/2020/26017062601706Dynamical System Analysis of a Lassa Fever Model with Varying Socioeconomic ClassesIfeanyi Sunday Onah0Obiora Cornelius Collins1Department of Mathematics, University of Nigeria, Nsukka, NigeriaInstitute of Systems Science, Durban University of Technology, Durban 4000, South AfricaLassa fever is an animal-borne acute viral illness caused by Lassa virus. It poses a serious health challenge around the world today, especially in West African countries like Ghana, Benin, Guinea, Liberia, Mali, Sierra Leone, and Nigeria. In this work, we formulate a multiple-patch Lassa fever model, where each patch denotes a socioeconomic class (SEC). Some of the important epidemiological features such as basic reproduction number of the model were determined and analysed accordingly. We further investigated how varying SECs affect the transmission dynamics of Lassa fever. We analysed the required state at which each SEC is responsible in driving the Lassa fever disease outbreak. Sensitivity analyses were carried out to determine the importance of model parameters to the disease transmission and prevalence. We carried out numerical simulation to support our analytical results. Finally, we extend some of the results of the 2-patch model to the general n-patch model.http://dx.doi.org/10.1155/2020/2601706 |
| spellingShingle | Ifeanyi Sunday Onah Obiora Cornelius Collins Dynamical System Analysis of a Lassa Fever Model with Varying Socioeconomic Classes Journal of Applied Mathematics |
| title | Dynamical System Analysis of a Lassa Fever Model with Varying Socioeconomic Classes |
| title_full | Dynamical System Analysis of a Lassa Fever Model with Varying Socioeconomic Classes |
| title_fullStr | Dynamical System Analysis of a Lassa Fever Model with Varying Socioeconomic Classes |
| title_full_unstemmed | Dynamical System Analysis of a Lassa Fever Model with Varying Socioeconomic Classes |
| title_short | Dynamical System Analysis of a Lassa Fever Model with Varying Socioeconomic Classes |
| title_sort | dynamical system analysis of a lassa fever model with varying socioeconomic classes |
| url | http://dx.doi.org/10.1155/2020/2601706 |
| work_keys_str_mv | AT ifeanyisundayonah dynamicalsystemanalysisofalassafevermodelwithvaryingsocioeconomicclasses AT obioracorneliuscollins dynamicalsystemanalysisofalassafevermodelwithvaryingsocioeconomicclasses |