Modeling the vaccination control of bacterial meningitis transmission dynamics: a case study
Bacterial meningitis, which is considered a major concern by the World Health Organization, is a medical emergency that lingers as a terrifying infection in sub-Saharan Africa and other countries in the "meningitis belt" due to the frequent occurrence of the infection and its debilitating...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-12-01
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| Series: | Mathematical Modelling and Control |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mmc.2023033?viewType=HTML |
| _version_ | 1797367921748475904 |
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| author | Monica Veronica Crankson Olusegun Olotu Ayodeji Sunday Afolabi Afeez Abidemi |
| author_facet | Monica Veronica Crankson Olusegun Olotu Ayodeji Sunday Afolabi Afeez Abidemi |
| author_sort | Monica Veronica Crankson |
| collection | DOAJ |
| description | Bacterial meningitis, which is considered a major concern by the World Health Organization, is a medical emergency that lingers as a terrifying infection in sub-Saharan Africa and other countries in the "meningitis belt" due to the frequent occurrence of the infection and its debilitating effects among survivors, even after treatment. This study presents a novel two-strain compartmental bacterial meningitis model. The disease-free equilibrium was established to be locally and globally asymtotically stable. Numerical simulations were performed to visualize the effects of various model parameters on each compartment. Sensitivity analysis was also performed and it was established that the most sensitive parameter for both strains $ 1 $ and $ 2 $ is the transmission probability, $ \beta $. It was ascertained that bacterial meningitis will not spread in the population if at least $ 25\% $ of the population are immune to the disease. |
| first_indexed | 2024-03-08T17:24:04Z |
| format | Article |
| id | doaj.art-d5ec7574285046aa98f7b80adb37441f |
| institution | Directory Open Access Journal |
| issn | 2767-8946 |
| language | English |
| last_indexed | 2024-03-08T17:24:04Z |
| publishDate | 2023-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Modelling and Control |
| spelling | doaj.art-d5ec7574285046aa98f7b80adb37441f2024-01-03T01:39:56ZengAIMS PressMathematical Modelling and Control2767-89462023-12-013441643410.3934/mmc.2023033Modeling the vaccination control of bacterial meningitis transmission dynamics: a case studyMonica Veronica Crankson 0Olusegun Olotu1Ayodeji Sunday Afolabi2Afeez Abidemi31. Department of Mathematical Sciences, University of Mines and Technology, Box 237, Tarkwa, Ghana2. Department of Mathematical Sciences, Federal University of Technology, Akure, P. M. B. 704, Akure, Ondo State, Nigeria2. Department of Mathematical Sciences, Federal University of Technology, Akure, P. M. B. 704, Akure, Ondo State, Nigeria2. Department of Mathematical Sciences, Federal University of Technology, Akure, P. M. B. 704, Akure, Ondo State, NigeriaBacterial meningitis, which is considered a major concern by the World Health Organization, is a medical emergency that lingers as a terrifying infection in sub-Saharan Africa and other countries in the "meningitis belt" due to the frequent occurrence of the infection and its debilitating effects among survivors, even after treatment. This study presents a novel two-strain compartmental bacterial meningitis model. The disease-free equilibrium was established to be locally and globally asymtotically stable. Numerical simulations were performed to visualize the effects of various model parameters on each compartment. Sensitivity analysis was also performed and it was established that the most sensitive parameter for both strains $ 1 $ and $ 2 $ is the transmission probability, $ \beta $. It was ascertained that bacterial meningitis will not spread in the population if at least $ 25\% $ of the population are immune to the disease.https://www.aimspress.com/article/doi/10.3934/mmc.2023033?viewType=HTMLnovel two-strain bacterial meningitisstreptococcus pneumoniaeneisseria meningitidisvaccination |
| spellingShingle | Monica Veronica Crankson Olusegun Olotu Ayodeji Sunday Afolabi Afeez Abidemi Modeling the vaccination control of bacterial meningitis transmission dynamics: a case study Mathematical Modelling and Control novel two-strain bacterial meningitis streptococcus pneumoniae neisseria meningitidis vaccination |
| title | Modeling the vaccination control of bacterial meningitis transmission dynamics: a case study |
| title_full | Modeling the vaccination control of bacterial meningitis transmission dynamics: a case study |
| title_fullStr | Modeling the vaccination control of bacterial meningitis transmission dynamics: a case study |
| title_full_unstemmed | Modeling the vaccination control of bacterial meningitis transmission dynamics: a case study |
| title_short | Modeling the vaccination control of bacterial meningitis transmission dynamics: a case study |
| title_sort | modeling the vaccination control of bacterial meningitis transmission dynamics a case study |
| topic | novel two-strain bacterial meningitis streptococcus pneumoniae neisseria meningitidis vaccination |
| url | https://www.aimspress.com/article/doi/10.3934/mmc.2023033?viewType=HTML |
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