On the Dynamics of a SEIHR Model With Delays in Diagnosis and a Class of General Incidence Functions
The susceptible, exposed, infectious, hospitalized, and recovered (SEIHR) model with delays in diagnosis is investigated. A class of general incidence functions is considered. The threshold for the model is determined, and the stabilities of the equilibrium points are examined. The effects of the de...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/8843842 |
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| _version_ | 1849343489416888320 |
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| author | Ali Traoré Fourtoua Victorien Konané |
| author_facet | Ali Traoré Fourtoua Victorien Konané |
| author_sort | Ali Traoré |
| collection | DOAJ |
| description | The susceptible, exposed, infectious, hospitalized, and recovered (SEIHR) model with delays in diagnosis is investigated. A class of general incidence functions is considered. The threshold for the model is determined, and the stabilities of the equilibrium points are examined. The effects of the delay in diagnosis on the spread of the disease are studied. A comparative study between the delay-induced basic reproduction number Rϕ for the model and the basic reproduction number R0 when the infection is timely diagnosed is performed. |
| format | Article |
| id | doaj-art-e841f23685144201a98cfea2bd359be1 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e841f23685144201a98cfea2bd359be12025-08-20T03:42:57ZengWileyJournal of Mathematics2314-47852025-01-01202510.1155/jom/8843842On the Dynamics of a SEIHR Model With Delays in Diagnosis and a Class of General Incidence FunctionsAli Traoré0Fourtoua Victorien Konané1Department of MathematicsDepartment of MathematicsThe susceptible, exposed, infectious, hospitalized, and recovered (SEIHR) model with delays in diagnosis is investigated. A class of general incidence functions is considered. The threshold for the model is determined, and the stabilities of the equilibrium points are examined. The effects of the delay in diagnosis on the spread of the disease are studied. A comparative study between the delay-induced basic reproduction number Rϕ for the model and the basic reproduction number R0 when the infection is timely diagnosed is performed.http://dx.doi.org/10.1155/jom/8843842 |
| spellingShingle | Ali Traoré Fourtoua Victorien Konané On the Dynamics of a SEIHR Model With Delays in Diagnosis and a Class of General Incidence Functions Journal of Mathematics |
| title | On the Dynamics of a SEIHR Model With Delays in Diagnosis and a Class of General Incidence Functions |
| title_full | On the Dynamics of a SEIHR Model With Delays in Diagnosis and a Class of General Incidence Functions |
| title_fullStr | On the Dynamics of a SEIHR Model With Delays in Diagnosis and a Class of General Incidence Functions |
| title_full_unstemmed | On the Dynamics of a SEIHR Model With Delays in Diagnosis and a Class of General Incidence Functions |
| title_short | On the Dynamics of a SEIHR Model With Delays in Diagnosis and a Class of General Incidence Functions |
| title_sort | on the dynamics of a seihr model with delays in diagnosis and a class of general incidence functions |
| url | http://dx.doi.org/10.1155/jom/8843842 |
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