A study of stability of SEIHR model of infectious disease transmission
We develop in this paper a Susceptible Exposed Infectious Hospitalized and Recovered (SEIHR), spread model. In the model studied, we introduce a recruitment constant, to take into account the fact that newborns can transmit disease. The disease-free and endemic equilibrium points are computed and an...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2021-12-01
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| Series: | Nonautonomous Dynamical Systems |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/msds-2020-0140 |
| _version_ | 1818322806690021376 |
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| author | Ouedraogo Harouna Ouedraogo Dramane Ibrango Idrissa Guiro Aboudramane |
| author_facet | Ouedraogo Harouna Ouedraogo Dramane Ibrango Idrissa Guiro Aboudramane |
| author_sort | Ouedraogo Harouna |
| collection | DOAJ |
| description | We develop in this paper a Susceptible Exposed Infectious Hospitalized and Recovered (SEIHR), spread model. In the model studied, we introduce a recruitment constant, to take into account the fact that newborns can transmit disease. The disease-free and endemic equilibrium points are computed and analyzed. The basic reproduction number 0 is acquired, when 0 ≤ 1, the disease dies out and persists in the community whenever 0 > 1. From numerical simulation, we illustrate our theoretical analysis. |
| first_indexed | 2024-12-13T11:02:39Z |
| format | Article |
| id | doaj.art-2edc914b547d4e6382d9b8dd34fc6c80 |
| institution | Directory Open Access Journal |
| issn | 2353-0626 |
| language | English |
| last_indexed | 2024-12-13T11:02:39Z |
| publishDate | 2021-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonautonomous Dynamical Systems |
| spelling | doaj.art-2edc914b547d4e6382d9b8dd34fc6c802022-12-21T23:49:13ZengDe GruyterNonautonomous Dynamical Systems2353-06262021-12-018130732710.1515/msds-2020-0140A study of stability of SEIHR model of infectious disease transmissionOuedraogo Harouna0Ouedraogo Dramane1Ibrango Idrissa2Guiro Aboudramane3Université Joseph KI-ZERBO, 03 bp 7021, Ouagadougou 03, Burkina FasoUniversité Nazi Boni, 01 bp 1091, Bobo-Dioulasso 01, Burkina FasoUniversité Nazi Boni, 01 bp 1091, Bobo-Dioulasso 01, Burkina FasoUniversité Nazi Boni, 01 bp 1091, Bobo-Dioulasso 01, Burkina FasoWe develop in this paper a Susceptible Exposed Infectious Hospitalized and Recovered (SEIHR), spread model. In the model studied, we introduce a recruitment constant, to take into account the fact that newborns can transmit disease. The disease-free and endemic equilibrium points are computed and analyzed. The basic reproduction number 0 is acquired, when 0 ≤ 1, the disease dies out and persists in the community whenever 0 > 1. From numerical simulation, we illustrate our theoretical analysis.https://doi.org/10.1515/msds-2020-0140compartmental modelingrecruitmentinfectious diseasereproduction numberequilibriastability analysisnumerical simulation34e0534d0565l20 |
| spellingShingle | Ouedraogo Harouna Ouedraogo Dramane Ibrango Idrissa Guiro Aboudramane A study of stability of SEIHR model of infectious disease transmission Nonautonomous Dynamical Systems compartmental modeling recruitment infectious disease reproduction number equilibria stability analysis numerical simulation 34e05 34d05 65l20 |
| title | A study of stability of SEIHR model of infectious disease transmission |
| title_full | A study of stability of SEIHR model of infectious disease transmission |
| title_fullStr | A study of stability of SEIHR model of infectious disease transmission |
| title_full_unstemmed | A study of stability of SEIHR model of infectious disease transmission |
| title_short | A study of stability of SEIHR model of infectious disease transmission |
| title_sort | study of stability of seihr model of infectious disease transmission |
| topic | compartmental modeling recruitment infectious disease reproduction number equilibria stability analysis numerical simulation 34e05 34d05 65l20 |
| url | https://doi.org/10.1515/msds-2020-0140 |
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