Modelling the Transmission Dynamics of Meningitis among High and Low-Risk People in Ghana with Cost-Effectiveness Analysis
Meningitis is an inflammation of the meninges, which covers the brain and spinal cord. Every year, most individuals within sub-Saharan Africa suffer from meningococcal meningitis. Moreover, tens of thousands of these cases result in death, especially during major epidemics. The transmission dynamics...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2022/9084283 |
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| author | Nicholas Kwasi-Do Ohene Opoku Reindorf Nartey Borkor Andrews Frimpong Adu Hannah Nyarkoah Nyarko Albert Doughan Edwin Moses Appiah Biigba Yakubu Isabel Mensah Samson Pandam Salifu |
| author_facet | Nicholas Kwasi-Do Ohene Opoku Reindorf Nartey Borkor Andrews Frimpong Adu Hannah Nyarkoah Nyarko Albert Doughan Edwin Moses Appiah Biigba Yakubu Isabel Mensah Samson Pandam Salifu |
| author_sort | Nicholas Kwasi-Do Ohene Opoku |
| collection | DOAJ |
| description | Meningitis is an inflammation of the meninges, which covers the brain and spinal cord. Every year, most individuals within sub-Saharan Africa suffer from meningococcal meningitis. Moreover, tens of thousands of these cases result in death, especially during major epidemics. The transmission dynamics of the disease keep changing, according to health practitioners. The goal of this study is to exploit robust mechanisms to manage and prevent the disease at a minimal cost due to its public health implications. A significant concern found to aid in the transmission of meningitis disease is the movement and interaction of individuals from low-risk to high-risk zones during the outbreak season. Thus, this article develops a mathematical model that ascertains the dynamics involved in meningitis transmissions by partitioning individuals into low- and high-risk susceptible groups. After computing the basic reproduction number, the model is shown to exhibit a unique local asymptotically stability at the meningitis-free equilibrium E†, when the effective reproduction number R0<1, and the existence of two endemic equilibria for which R0†<R0<1 and exhibits the phenomenon of backward bifurcation, which shows the difficulty of relying only on the reproduction number to control the disease. The effective reproductive number estimated in real time using the exponential growth method affirmed that the number of secondary meningitis infections will continue to increase without any intervention or policies. To find the best strategy for minimizing the number of carriers and infected individuals, we reformulated the model into an optimal control model using Pontryagin’s maximum principles with intervention measures such as vaccination, treatment, and personal protection. Although Ghana’s most preferred meningitis intervention method is via treatment, the model’s simulations demonstrated that the best strategy to control meningitis is to combine vaccination with treatment. But the cost-effectiveness analysis results show that vaccination and treatment are among the most expensive measures to implement. For that reason, personal protection which is the most cost-effective measure needs to be encouraged, especially among individuals migrating from low- to high-risk meningitis belts. |
| format | Article |
| id | doaj-art-c560ad6c9d264afcb7817775ad25f48b |
| institution | Kabale University |
| issn | 1687-0409 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c560ad6c9d264afcb7817775ad25f48b2025-02-03T06:13:04ZengWileyAbstract and Applied Analysis1687-04092022-01-01202210.1155/2022/9084283Modelling the Transmission Dynamics of Meningitis among High and Low-Risk People in Ghana with Cost-Effectiveness AnalysisNicholas Kwasi-Do Ohene Opoku0Reindorf Nartey Borkor1Andrews Frimpong Adu2Hannah Nyarkoah Nyarko3Albert Doughan4Edwin Moses Appiah5Biigba Yakubu6Isabel Mensah7Samson Pandam Salifu8Kwame Nkrumah University of Science and TechnologyKwame Nkrumah University of Science and TechnologyKwame Nkrumah University of Science and TechnologyKwame Nkrumah University of Science and TechnologyKwame Nkrumah University of Science and TechnologyKwame Nkrumah University of Science and TechnologyKwame Nkrumah University of Science and TechnologyKwame Nkrumah University of Science and TechnologyKwame Nkrumah University of Science and TechnologyMeningitis is an inflammation of the meninges, which covers the brain and spinal cord. Every year, most individuals within sub-Saharan Africa suffer from meningococcal meningitis. Moreover, tens of thousands of these cases result in death, especially during major epidemics. The transmission dynamics of the disease keep changing, according to health practitioners. The goal of this study is to exploit robust mechanisms to manage and prevent the disease at a minimal cost due to its public health implications. A significant concern found to aid in the transmission of meningitis disease is the movement and interaction of individuals from low-risk to high-risk zones during the outbreak season. Thus, this article develops a mathematical model that ascertains the dynamics involved in meningitis transmissions by partitioning individuals into low- and high-risk susceptible groups. After computing the basic reproduction number, the model is shown to exhibit a unique local asymptotically stability at the meningitis-free equilibrium E†, when the effective reproduction number R0<1, and the existence of two endemic equilibria for which R0†<R0<1 and exhibits the phenomenon of backward bifurcation, which shows the difficulty of relying only on the reproduction number to control the disease. The effective reproductive number estimated in real time using the exponential growth method affirmed that the number of secondary meningitis infections will continue to increase without any intervention or policies. To find the best strategy for minimizing the number of carriers and infected individuals, we reformulated the model into an optimal control model using Pontryagin’s maximum principles with intervention measures such as vaccination, treatment, and personal protection. Although Ghana’s most preferred meningitis intervention method is via treatment, the model’s simulations demonstrated that the best strategy to control meningitis is to combine vaccination with treatment. But the cost-effectiveness analysis results show that vaccination and treatment are among the most expensive measures to implement. For that reason, personal protection which is the most cost-effective measure needs to be encouraged, especially among individuals migrating from low- to high-risk meningitis belts.http://dx.doi.org/10.1155/2022/9084283 |
| spellingShingle | Nicholas Kwasi-Do Ohene Opoku Reindorf Nartey Borkor Andrews Frimpong Adu Hannah Nyarkoah Nyarko Albert Doughan Edwin Moses Appiah Biigba Yakubu Isabel Mensah Samson Pandam Salifu Modelling the Transmission Dynamics of Meningitis among High and Low-Risk People in Ghana with Cost-Effectiveness Analysis Abstract and Applied Analysis |
| title | Modelling the Transmission Dynamics of Meningitis among High and Low-Risk People in Ghana with Cost-Effectiveness Analysis |
| title_full | Modelling the Transmission Dynamics of Meningitis among High and Low-Risk People in Ghana with Cost-Effectiveness Analysis |
| title_fullStr | Modelling the Transmission Dynamics of Meningitis among High and Low-Risk People in Ghana with Cost-Effectiveness Analysis |
| title_full_unstemmed | Modelling the Transmission Dynamics of Meningitis among High and Low-Risk People in Ghana with Cost-Effectiveness Analysis |
| title_short | Modelling the Transmission Dynamics of Meningitis among High and Low-Risk People in Ghana with Cost-Effectiveness Analysis |
| title_sort | modelling the transmission dynamics of meningitis among high and low risk people in ghana with cost effectiveness analysis |
| url | http://dx.doi.org/10.1155/2022/9084283 |
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