Mathematical Modeling of Ebola Virus Disease in Bat Population
Many scientific researches have demonstrated that bats can survive Ebola virus and they represent natural reservoirs of this zoonotic virus. In this study, we develop a generalized epizootic model for the transmission dynamics of Ebola virus disease (EVD) in bat population by taking into account the...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/5104524 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849693174703849472 |
|---|---|
| author | Zineb EL Rhoubari Hajar Besbassi Khalid Hattaf Noura Yousfi |
| author_facet | Zineb EL Rhoubari Hajar Besbassi Khalid Hattaf Noura Yousfi |
| author_sort | Zineb EL Rhoubari |
| collection | DOAJ |
| description | Many scientific researches have demonstrated that bats can survive Ebola virus and they represent natural reservoirs of this zoonotic virus. In this study, we develop a generalized epizootic model for the transmission dynamics of Ebola virus disease (EVD) in bat population by taking into account the environment contamination. The transmission process is modeled by two general incidence functions that include many incidence rates used in infectious diseases modeling. We first prove that the model is epidemiologically and mathematically well-posed by showing the existence, positivity, and boundedness of solutions. By analyzing the characteristic equations and constructing suitable Lyapunov functionals, the stability analysis of equilibria is investigated. |
| format | Article |
| id | doaj-art-907e1bc2f8994efdb8d9cb46902a9e81 |
| institution | DOAJ |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-907e1bc2f8994efdb8d9cb46902a9e812025-08-20T03:20:30ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/51045245104524Mathematical Modeling of Ebola Virus Disease in Bat PopulationZineb EL Rhoubari0Hajar Besbassi1Khalid Hattaf2Noura Yousfi3Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, MoroccoLaboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, MoroccoLaboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, MoroccoLaboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, MoroccoMany scientific researches have demonstrated that bats can survive Ebola virus and they represent natural reservoirs of this zoonotic virus. In this study, we develop a generalized epizootic model for the transmission dynamics of Ebola virus disease (EVD) in bat population by taking into account the environment contamination. The transmission process is modeled by two general incidence functions that include many incidence rates used in infectious diseases modeling. We first prove that the model is epidemiologically and mathematically well-posed by showing the existence, positivity, and boundedness of solutions. By analyzing the characteristic equations and constructing suitable Lyapunov functionals, the stability analysis of equilibria is investigated.http://dx.doi.org/10.1155/2018/5104524 |
| spellingShingle | Zineb EL Rhoubari Hajar Besbassi Khalid Hattaf Noura Yousfi Mathematical Modeling of Ebola Virus Disease in Bat Population Discrete Dynamics in Nature and Society |
| title | Mathematical Modeling of Ebola Virus Disease in Bat Population |
| title_full | Mathematical Modeling of Ebola Virus Disease in Bat Population |
| title_fullStr | Mathematical Modeling of Ebola Virus Disease in Bat Population |
| title_full_unstemmed | Mathematical Modeling of Ebola Virus Disease in Bat Population |
| title_short | Mathematical Modeling of Ebola Virus Disease in Bat Population |
| title_sort | mathematical modeling of ebola virus disease in bat population |
| url | http://dx.doi.org/10.1155/2018/5104524 |
| work_keys_str_mv | AT zinebelrhoubari mathematicalmodelingofebolavirusdiseaseinbatpopulation AT hajarbesbassi mathematicalmodelingofebolavirusdiseaseinbatpopulation AT khalidhattaf mathematicalmodelingofebolavirusdiseaseinbatpopulation AT nourayousfi mathematicalmodelingofebolavirusdiseaseinbatpopulation |