Sensitivity analysis of Typhoid Fever model with Saturated Incidence rate.
In this study, a dynamic model for typhoid fever incorporating protection against infection in the presence of saturated incidence rate is proposed. The existence and uniqueness solution is proved in order to ascertain the existence of the model. Stability analysis of endemic and disease free equili...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Qom University of Technology
2024-03-01
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| Series: | Mathematics and Computational Sciences |
| Subjects: | |
| Online Access: | https://mcs.qut.ac.ir/article_706421_250dbf939d0ff6d548d344a9bef76f21.pdf |
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| author | Kehinde Bashiru Mutairu Kolawole Taiwo Ojurongbe Mutiu Olaosebikan Nureni Adeboye Habeeb Afolabi |
| author_facet | Kehinde Bashiru Mutairu Kolawole Taiwo Ojurongbe Mutiu Olaosebikan Nureni Adeboye Habeeb Afolabi |
| author_sort | Kehinde Bashiru |
| collection | DOAJ |
| description | In this study, a dynamic model for typhoid fever incorporating protection against infection in the presence of saturated incidence rate is proposed. The existence and uniqueness solution is proved in order to ascertain the existence of the model. Stability analysis of endemic and disease free equilibrium was carried out to investigate the dynamic behavior of the transmission of the disease in a given population. Sensitivity analysis was also carried out to detect the impact of the parameters of the reproductive number and which parameters should focus as a control intervention. Numerical simulation of the model was carried out and the result is presented graphically, the result shows that an increase in the probability of the sources of protection and sociology factor dictate low disease prevalence in a population. |
| first_indexed | 2024-04-24T18:42:51Z |
| format | Article |
| id | doaj.art-077faedf3a87433e96272fb9938f1f3d |
| institution | Directory Open Access Journal |
| issn | 2717-2708 |
| language | English |
| last_indexed | 2024-04-24T18:42:51Z |
| publishDate | 2024-03-01 |
| publisher | Qom University of Technology |
| record_format | Article |
| series | Mathematics and Computational Sciences |
| spelling | doaj.art-077faedf3a87433e96272fb9938f1f3d2024-03-27T08:56:42ZengQom University of TechnologyMathematics and Computational Sciences2717-27082024-03-015111210.30511/mcs.2023.1988295.1107706421Sensitivity analysis of Typhoid Fever model with Saturated Incidence rate.Kehinde Bashiru0Mutairu Kolawole1Taiwo Ojurongbe2Mutiu Olaosebikan3Nureni Adeboye4Habeeb Afolabi5Department of Statistics, Osun State University, Osogbo, NigeriaDepartment of Mathematical Sc. Osun State University, OsogboDepartment of Statistics, Osun State University, NigeriaDepartment of Mathematical Sc. Osun State University, NigeriaDepartment of Statistics, Osun State University, Osogbo, NigeriaDepartment of Statistics, Osun State University, Osogbo, Nigeria.In this study, a dynamic model for typhoid fever incorporating protection against infection in the presence of saturated incidence rate is proposed. The existence and uniqueness solution is proved in order to ascertain the existence of the model. Stability analysis of endemic and disease free equilibrium was carried out to investigate the dynamic behavior of the transmission of the disease in a given population. Sensitivity analysis was also carried out to detect the impact of the parameters of the reproductive number and which parameters should focus as a control intervention. Numerical simulation of the model was carried out and the result is presented graphically, the result shows that an increase in the probability of the sources of protection and sociology factor dictate low disease prevalence in a population.https://mcs.qut.ac.ir/article_706421_250dbf939d0ff6d548d344a9bef76f21.pdftyphoid feversaturated incident ratesensitivity analysisstability |
| spellingShingle | Kehinde Bashiru Mutairu Kolawole Taiwo Ojurongbe Mutiu Olaosebikan Nureni Adeboye Habeeb Afolabi Sensitivity analysis of Typhoid Fever model with Saturated Incidence rate. Mathematics and Computational Sciences typhoid fever saturated incident rate sensitivity analysis stability |
| title | Sensitivity analysis of Typhoid Fever model with Saturated Incidence rate. |
| title_full | Sensitivity analysis of Typhoid Fever model with Saturated Incidence rate. |
| title_fullStr | Sensitivity analysis of Typhoid Fever model with Saturated Incidence rate. |
| title_full_unstemmed | Sensitivity analysis of Typhoid Fever model with Saturated Incidence rate. |
| title_short | Sensitivity analysis of Typhoid Fever model with Saturated Incidence rate. |
| title_sort | sensitivity analysis of typhoid fever model with saturated incidence rate |
| topic | typhoid fever saturated incident rate sensitivity analysis stability |
| url | https://mcs.qut.ac.ir/article_706421_250dbf939d0ff6d548d344a9bef76f21.pdf |
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