Analysis of Cholera Epidemic Controlling Using Mathematical Modeling
The purpose of this study is to see whether it is possible to eradicate the disease theoretically using mathematical modeling with the aid of numerical simulation when disease occurs in a population by implementing adequate preventive measures. For this, we consider a mathematical model for the tran...
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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/10.1155/2020/7369204 |
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| _version_ | 1832556907070488576 |
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| author | Kinfe Hailemariam Hntsa Berhe Nerea Kahsay |
| author_facet | Kinfe Hailemariam Hntsa Berhe Nerea Kahsay |
| author_sort | Kinfe Hailemariam Hntsa |
| collection | DOAJ |
| description | The purpose of this study is to see whether it is possible to eradicate the disease theoretically using mathematical modeling with the aid of numerical simulation when disease occurs in a population by implementing adequate preventive measures. For this, we consider a mathematical model for the transmission dynamics of cholera and its preventive measure as one cohort of individuals, namely, a protected cohort in addition to susceptible, infected, and recovered cohorts of individuals including the concentration of Vibrio cholerae in the contaminated aquatic reservoir with small modifications. We calculate the basic reproduction number, ℛ0, and investigate the existence and stability of equilibria. The model possessed forward bifurcation. Moreover, we compute the sensitivity indices of each parameter in relating to ℛ0 of the model. Numerical simulations are carried out to validate our theoretical results. The result indicates that the disease dies out in areas with adequate preventive measures and widespread and kills more people in areas with the inadequate preventive measures. |
| format | Article |
| id | doaj-art-9b0b0d6c8ffa4f5a98b3590c98deb739 |
| 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-9b0b0d6c8ffa4f5a98b3590c98deb7392025-02-03T05:44:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252020-01-01202010.1155/2020/73692047369204Analysis of Cholera Epidemic Controlling Using Mathematical ModelingKinfe Hailemariam Hntsa0Berhe Nerea Kahsay1Department of Mathematics, Aksum University, Axum, EthiopiaDepartment of Mathematics, Aksum University, Axum, EthiopiaThe purpose of this study is to see whether it is possible to eradicate the disease theoretically using mathematical modeling with the aid of numerical simulation when disease occurs in a population by implementing adequate preventive measures. For this, we consider a mathematical model for the transmission dynamics of cholera and its preventive measure as one cohort of individuals, namely, a protected cohort in addition to susceptible, infected, and recovered cohorts of individuals including the concentration of Vibrio cholerae in the contaminated aquatic reservoir with small modifications. We calculate the basic reproduction number, ℛ0, and investigate the existence and stability of equilibria. The model possessed forward bifurcation. Moreover, we compute the sensitivity indices of each parameter in relating to ℛ0 of the model. Numerical simulations are carried out to validate our theoretical results. The result indicates that the disease dies out in areas with adequate preventive measures and widespread and kills more people in areas with the inadequate preventive measures.http://dx.doi.org/10.1155/2020/7369204 |
| spellingShingle | Kinfe Hailemariam Hntsa Berhe Nerea Kahsay Analysis of Cholera Epidemic Controlling Using Mathematical Modeling International Journal of Mathematics and Mathematical Sciences |
| title | Analysis of Cholera Epidemic Controlling Using Mathematical Modeling |
| title_full | Analysis of Cholera Epidemic Controlling Using Mathematical Modeling |
| title_fullStr | Analysis of Cholera Epidemic Controlling Using Mathematical Modeling |
| title_full_unstemmed | Analysis of Cholera Epidemic Controlling Using Mathematical Modeling |
| title_short | Analysis of Cholera Epidemic Controlling Using Mathematical Modeling |
| title_sort | analysis of cholera epidemic controlling using mathematical modeling |
| url | http://dx.doi.org/10.1155/2020/7369204 |
| work_keys_str_mv | AT kinfehailemariamhntsa analysisofcholeraepidemiccontrollingusingmathematicalmodeling AT berhenereakahsay analysisofcholeraepidemiccontrollingusingmathematicalmodeling |