Sensitivity and Stability Analysis of a SEIR Epidemic Model with Information
In this paper, the construction and stability analysis of a SEIR epidemic model with information are discussed. This model contains information about how to prevent the spread of infectious diseases which is transmitted by infected individuals to susceptible individuals. Furthermore, the dynamical a...
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| Format: | Article |
| Language: | English |
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University of Brawijaya
2019-02-01
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| Series: | Journal of Experimental Life Science |
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| Online Access: | https://jels.ub.ac.id/index.php/jels/article/view/310 |
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| author | Robiatul Witari Wilda Trisilowati Trisilowati Moch. Aruman Imron |
| author_facet | Robiatul Witari Wilda Trisilowati Trisilowati Moch. Aruman Imron |
| author_sort | Robiatul Witari Wilda |
| collection | DOAJ |
| description | In this paper, the construction and stability analysis of a SEIR epidemic model with information are discussed. This model contains information about how to prevent the spread of infectious diseases which is transmitted by infected individuals to susceptible individuals. Furthermore, the dynamical analysis of the model which includes determination of equilibrium points terms of existence, stability analysis of the equilibrium points and sensitivity analysis are observed. Local stability of the equilibrium point is determined by linearizing the system around the equilibrium point and checking for the eigenvalue sign of Jacobian matrix at each equilibrium point. Sensitivity analysis is performed by using a sensitivity index to measure the relative change of basic reproduction number on each parameter. Based on the analysis result, there are two equilibrium points namely disease-free equilibrium point and endemic equilibrium point. The disease-free equilibrium point always exists and is locally asymptotically stable if the basic reproduction number is less than one. Moreover, the endemic equilibrium point exists and is locally asymptotically stable under certain conditions. From sensitivity analysis, it is found that the rate of mortality is the most sensitive parameter and the least sensitive parameter is the rate of exposed individual becomes infected individual. Finally, numerical simulation is conducted to support the analysis result. |
| format | Article |
| id | doaj-art-6bfe8e031cda4a00a75a3ed9c75b517e |
| institution | Kabale University |
| issn | 2087-2852 2338-1655 |
| language | English |
| publishDate | 2019-02-01 |
| publisher | University of Brawijaya |
| record_format | Article |
| series | Journal of Experimental Life Science |
| spelling | doaj-art-6bfe8e031cda4a00a75a3ed9c75b517e2025-08-20T03:49:45ZengUniversity of BrawijayaJournal of Experimental Life Science2087-28522338-16552019-02-01914753https://doi.org/10.21776/ub.jels.2019.009.01.08Sensitivity and Stability Analysis of a SEIR Epidemic Model with InformationRobiatul Witari Wilda0Trisilowati Trisilowati1Moch. Aruman Imron2Universitas BrawijayaUniversitas BrawijayaUniversitas BrawijayaIn this paper, the construction and stability analysis of a SEIR epidemic model with information are discussed. This model contains information about how to prevent the spread of infectious diseases which is transmitted by infected individuals to susceptible individuals. Furthermore, the dynamical analysis of the model which includes determination of equilibrium points terms of existence, stability analysis of the equilibrium points and sensitivity analysis are observed. Local stability of the equilibrium point is determined by linearizing the system around the equilibrium point and checking for the eigenvalue sign of Jacobian matrix at each equilibrium point. Sensitivity analysis is performed by using a sensitivity index to measure the relative change of basic reproduction number on each parameter. Based on the analysis result, there are two equilibrium points namely disease-free equilibrium point and endemic equilibrium point. The disease-free equilibrium point always exists and is locally asymptotically stable if the basic reproduction number is less than one. Moreover, the endemic equilibrium point exists and is locally asymptotically stable under certain conditions. From sensitivity analysis, it is found that the rate of mortality is the most sensitive parameter and the least sensitive parameter is the rate of exposed individual becomes infected individual. Finally, numerical simulation is conducted to support the analysis result.https://jels.ub.ac.id/index.php/jels/article/view/310epidemicinformationsensitivity analysisseirstability analysis. |
| spellingShingle | Robiatul Witari Wilda Trisilowati Trisilowati Moch. Aruman Imron Sensitivity and Stability Analysis of a SEIR Epidemic Model with Information Journal of Experimental Life Science epidemic information sensitivity analysis seir stability analysis. |
| title | Sensitivity and Stability Analysis of a SEIR Epidemic Model with Information |
| title_full | Sensitivity and Stability Analysis of a SEIR Epidemic Model with Information |
| title_fullStr | Sensitivity and Stability Analysis of a SEIR Epidemic Model with Information |
| title_full_unstemmed | Sensitivity and Stability Analysis of a SEIR Epidemic Model with Information |
| title_short | Sensitivity and Stability Analysis of a SEIR Epidemic Model with Information |
| title_sort | sensitivity and stability analysis of a seir epidemic model with information |
| topic | epidemic information sensitivity analysis seir stability analysis. |
| url | https://jels.ub.ac.id/index.php/jels/article/view/310 |
| work_keys_str_mv | AT robiatulwitariwilda sensitivityandstabilityanalysisofaseirepidemicmodelwithinformation AT trisilowatitrisilowati sensitivityandstabilityanalysisofaseirepidemicmodelwithinformation AT mocharumanimron sensitivityandstabilityanalysisofaseirepidemicmodelwithinformation |