Mathematical analysis of an epidemic model with direct and indirect transmission modes and two delays
In this article, we consider an epidemiological model in which we take into account the effects of direct and indirect transmissions. The first mode occurs through direct contact between infectious and susceptible individuals, and the second one will take place through the shedding of virus particle...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-11-01
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| Series: | Nonautonomous Dynamical Systems |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/msds-2023-0103 |
| _version_ | 1797628680163295232 |
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| author | Najm Fatiha Yafia Radouane Alaoui My Ahmed Aziz Tridane Abdessamad Boukrim Lahcen |
| author_facet | Najm Fatiha Yafia Radouane Alaoui My Ahmed Aziz Tridane Abdessamad Boukrim Lahcen |
| author_sort | Najm Fatiha |
| collection | DOAJ |
| description | In this article, we consider an epidemiological model in which we take into account the effects of direct and indirect transmissions. The first mode occurs through direct contact between infectious and susceptible individuals, and the second one will take place through the shedding of virus particles by infectious individuals and their acquisition by susceptible ones. We also study the effect of latency period and time needed for a susceptible person to become infected by indirect transmission mode. By considering the direct and indirect basic reproduction numbers, we define the basic reproduction number R0{R}_{0} of the model, which helps us to analyze the stability of equilibria and bifurcation and determine the most sensitive parameters. In conclusion, some numerical simulations are given to confirm the analytical analysis. |
| first_indexed | 2024-03-11T10:42:21Z |
| format | Article |
| id | doaj.art-e58e713be52d4e8382de5e3de9314903 |
| institution | Directory Open Access Journal |
| issn | 2353-0626 |
| language | English |
| last_indexed | 2024-03-11T10:42:21Z |
| publishDate | 2023-11-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonautonomous Dynamical Systems |
| spelling | doaj.art-e58e713be52d4e8382de5e3de93149032023-11-14T08:29:58ZengDe GruyterNonautonomous Dynamical Systems2353-06262023-11-0110121110.1515/msds-2023-0103Mathematical analysis of an epidemic model with direct and indirect transmission modes and two delaysNajm Fatiha0Yafia Radouane1Alaoui My Ahmed Aziz2Tridane Abdessamad3Boukrim Lahcen4Department of Mathematics, Faculty of Sciences, Ibn Tofail University, Campus Universitaire, BP 133, Kenitra, MoroccoDepartment of Mathematics, Faculty of Sciences, Ibn Tofail University, Campus Universitaire, BP 133, Kenitra, MoroccoNormandie Univ, 76063, Le Havre, France; Mathematical Sciences (COS), United Arab Emirates University, P.O. Box No. 15551, Al Ain, UAEDepartment of Mathematics, Faculty of Sciences, Ibn Tofail University, Campus Universitaire, BP 133, Kenitra, MoroccoIn this article, we consider an epidemiological model in which we take into account the effects of direct and indirect transmissions. The first mode occurs through direct contact between infectious and susceptible individuals, and the second one will take place through the shedding of virus particles by infectious individuals and their acquisition by susceptible ones. We also study the effect of latency period and time needed for a susceptible person to become infected by indirect transmission mode. By considering the direct and indirect basic reproduction numbers, we define the basic reproduction number R0{R}_{0} of the model, which helps us to analyze the stability of equilibria and bifurcation and determine the most sensitive parameters. In conclusion, some numerical simulations are given to confirm the analytical analysis.https://doi.org/10.1515/msds-2023-0103epidemic modellatency perioddelay differential equationbifurcationsensitivity34d0539b0592b0534c2392-10 |
| spellingShingle | Najm Fatiha Yafia Radouane Alaoui My Ahmed Aziz Tridane Abdessamad Boukrim Lahcen Mathematical analysis of an epidemic model with direct and indirect transmission modes and two delays Nonautonomous Dynamical Systems epidemic model latency period delay differential equation bifurcation sensitivity 34d05 39b05 92b05 34c23 92-10 |
| title | Mathematical analysis of an epidemic model with direct and indirect transmission modes and two delays |
| title_full | Mathematical analysis of an epidemic model with direct and indirect transmission modes and two delays |
| title_fullStr | Mathematical analysis of an epidemic model with direct and indirect transmission modes and two delays |
| title_full_unstemmed | Mathematical analysis of an epidemic model with direct and indirect transmission modes and two delays |
| title_short | Mathematical analysis of an epidemic model with direct and indirect transmission modes and two delays |
| title_sort | mathematical analysis of an epidemic model with direct and indirect transmission modes and two delays |
| topic | epidemic model latency period delay differential equation bifurcation sensitivity 34d05 39b05 92b05 34c23 92-10 |
| url | https://doi.org/10.1515/msds-2023-0103 |
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