Deterministic epidemic model for (SVCSyCAsyIR) pneumonia dynamics, with vaccination and temporal immunity
Streptococcus pneumonia is one of the leading causes of mobility and mortality in children under 6 years and the elderly especially in developing countries in which Ghana, the study area is not an exception.In this paper, a model of the spread and control of bacterial pneumonia that include symptoma...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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KeAi Communications Co., Ltd.
2020-01-01
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| Series: | Infectious Disease Modelling |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2468042719300399 |
| _version_ | 1797205398982230016 |
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| author | Dominic Otoo Patrick Opoku Sebil Charles Asekiya Prince Kingsley |
| author_facet | Dominic Otoo Patrick Opoku Sebil Charles Asekiya Prince Kingsley |
| author_sort | Dominic Otoo |
| collection | DOAJ |
| description | Streptococcus pneumonia is one of the leading causes of mobility and mortality in children under 6 years and the elderly especially in developing countries in which Ghana, the study area is not an exception.In this paper, a model of the spread and control of bacterial pneumonia that include symptomatic carriers, asymptomatic carriers and vaccination is formulated and analyzed to determine the effect of the vaccination intervention.Analysis of the system show that the disease free equilibrium is stable if and only if the basic reproductive number R0<1. For R0≥1, the endemic equilibrium is globally stable and the disease persist. Numerical simulation on the system show that with effective vaccine intervention pneumonia infection can be eradicated in the long term. |
| first_indexed | 2024-04-24T08:50:30Z |
| format | Article |
| id | doaj.art-ecce68a6ff0b44d3a5fb4428c1e4d151 |
| institution | Directory Open Access Journal |
| issn | 2468-0427 |
| language | English |
| last_indexed | 2024-04-24T08:50:30Z |
| publishDate | 2020-01-01 |
| publisher | KeAi Communications Co., Ltd. |
| record_format | Article |
| series | Infectious Disease Modelling |
| spelling | doaj.art-ecce68a6ff0b44d3a5fb4428c1e4d1512024-04-16T12:15:43ZengKeAi Communications Co., Ltd.Infectious Disease Modelling2468-04272020-01-0154260Deterministic epidemic model for (SVCSyCAsyIR) pneumonia dynamics, with vaccination and temporal immunityDominic Otoo0Patrick Opoku1Sebil Charles2Asekiya Prince Kingsley3Department of Mathematics & Statistics, School of Science, University of Energy & Natural Resources, Sunyani, Ghana; Department of Mathematics, Faculty of Physical and Computational Science, College of Science,Kwame Nkrumah University of Science & Technology, Kumasi, GhanaDepartment of Mathematics & Statistics, School of Science, University of Energy & Natural Resources, Sunyani, Ghana; Department of Mathematics, Faculty of Physical and Computational Science, College of Science,Kwame Nkrumah University of Science & Technology, Kumasi, Ghana; Corresponding author. Department of Mathematics & Statistics, School of Science, University of Energy & Natural Resources, Sunyani, Ghana.Department of Mathematics, Faculty of Physical and Computational Science, College of Science,Kwame Nkrumah University of Science & Technology, Kumasi, GhanaDepartment of Mathematics & Statistics, School of Science, University of Energy & Natural Resources, Sunyani, GhanaStreptococcus pneumonia is one of the leading causes of mobility and mortality in children under 6 years and the elderly especially in developing countries in which Ghana, the study area is not an exception.In this paper, a model of the spread and control of bacterial pneumonia that include symptomatic carriers, asymptomatic carriers and vaccination is formulated and analyzed to determine the effect of the vaccination intervention.Analysis of the system show that the disease free equilibrium is stable if and only if the basic reproductive number R0<1. For R0≥1, the endemic equilibrium is globally stable and the disease persist. Numerical simulation on the system show that with effective vaccine intervention pneumonia infection can be eradicated in the long term.http://www.sciencedirect.com/science/article/pii/S2468042719300399Asymptomatic carriersMorbidityMortalityPneumoniaSymptomatic carriersVaccination |
| spellingShingle | Dominic Otoo Patrick Opoku Sebil Charles Asekiya Prince Kingsley Deterministic epidemic model for (SVCSyCAsyIR) pneumonia dynamics, with vaccination and temporal immunity Infectious Disease Modelling Asymptomatic carriers Morbidity Mortality Pneumonia Symptomatic carriers Vaccination |
| title | Deterministic epidemic model for (SVCSyCAsyIR) pneumonia dynamics, with vaccination and temporal immunity |
| title_full | Deterministic epidemic model for (SVCSyCAsyIR) pneumonia dynamics, with vaccination and temporal immunity |
| title_fullStr | Deterministic epidemic model for (SVCSyCAsyIR) pneumonia dynamics, with vaccination and temporal immunity |
| title_full_unstemmed | Deterministic epidemic model for (SVCSyCAsyIR) pneumonia dynamics, with vaccination and temporal immunity |
| title_short | Deterministic epidemic model for (SVCSyCAsyIR) pneumonia dynamics, with vaccination and temporal immunity |
| title_sort | deterministic epidemic model for svcsycasyir pneumonia dynamics with vaccination and temporal immunity |
| topic | Asymptomatic carriers Morbidity Mortality Pneumonia Symptomatic carriers Vaccination |
| url | http://www.sciencedirect.com/science/article/pii/S2468042719300399 |
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