Nonstandard Computational and Bifurcation Analysis of the Rabies Epidemic Model
This paper aims to investigate some new dynamics of a new model describing the rabies virus dynamics, taking into account the effect of proper vaccination. The model’s population is divided into three main compartments, namely, susceptible St, infected It, and recovered Rt individuals. The model is...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/3909089 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546499620241408 |
|---|---|
| author | Wafa F. Alfwzan Ali Raza Nauman Ahmed Amr Elsonbaty Muhammad Rafiq Waleed Adel |
| author_facet | Wafa F. Alfwzan Ali Raza Nauman Ahmed Amr Elsonbaty Muhammad Rafiq Waleed Adel |
| author_sort | Wafa F. Alfwzan |
| collection | DOAJ |
| description | This paper aims to investigate some new dynamics of a new model describing the rabies virus dynamics, taking into account the effect of proper vaccination. The model’s population is divided into three main compartments, namely, susceptible St, infected It, and recovered Rt individuals. The model is formulated and then the equilibrium points of the model are found. The local and global stabilities of equilibrium points of the proposed model are investigated where conditions of stability are attained in terms of key parameters in the model. Bifurcation analysis is performed for the possible occurrence of codimension-one bifurcations in the model. In addition, bifurcation surfaces are plotted in the space of parameters in the model. For the numerical verification, a nonstandard finite difference method is adapted for solving the model and the accurate results of numerical simulations are depicted to reveal the dynamics of the model. The method provides realistic data for the model and these data can be used to predict the spread of the virus and to provide insight into proper procedures and control measures that can be taken. |
| format | Article |
| id | doaj-art-f1f2e29a1aa748ab88c589ca5f864f7c |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-f1f2e29a1aa748ab88c589ca5f864f7c2025-02-03T06:51:31ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/3909089Nonstandard Computational and Bifurcation Analysis of the Rabies Epidemic ModelWafa F. Alfwzan0Ali Raza1Nauman Ahmed2Amr Elsonbaty3Muhammad Rafiq4Waleed Adel5Department of Mathematical SciencesDepartment of Physical SciencesDepartment of Mathematics and StatisticsDepartment of MathematicsDepartment of MathematicsDepartment of Mathematics and Engineering PhysicsThis paper aims to investigate some new dynamics of a new model describing the rabies virus dynamics, taking into account the effect of proper vaccination. The model’s population is divided into three main compartments, namely, susceptible St, infected It, and recovered Rt individuals. The model is formulated and then the equilibrium points of the model are found. The local and global stabilities of equilibrium points of the proposed model are investigated where conditions of stability are attained in terms of key parameters in the model. Bifurcation analysis is performed for the possible occurrence of codimension-one bifurcations in the model. In addition, bifurcation surfaces are plotted in the space of parameters in the model. For the numerical verification, a nonstandard finite difference method is adapted for solving the model and the accurate results of numerical simulations are depicted to reveal the dynamics of the model. The method provides realistic data for the model and these data can be used to predict the spread of the virus and to provide insight into proper procedures and control measures that can be taken.http://dx.doi.org/10.1155/2024/3909089 |
| spellingShingle | Wafa F. Alfwzan Ali Raza Nauman Ahmed Amr Elsonbaty Muhammad Rafiq Waleed Adel Nonstandard Computational and Bifurcation Analysis of the Rabies Epidemic Model Journal of Mathematics |
| title | Nonstandard Computational and Bifurcation Analysis of the Rabies Epidemic Model |
| title_full | Nonstandard Computational and Bifurcation Analysis of the Rabies Epidemic Model |
| title_fullStr | Nonstandard Computational and Bifurcation Analysis of the Rabies Epidemic Model |
| title_full_unstemmed | Nonstandard Computational and Bifurcation Analysis of the Rabies Epidemic Model |
| title_short | Nonstandard Computational and Bifurcation Analysis of the Rabies Epidemic Model |
| title_sort | nonstandard computational and bifurcation analysis of the rabies epidemic model |
| url | http://dx.doi.org/10.1155/2024/3909089 |
| work_keys_str_mv | AT wafafalfwzan nonstandardcomputationalandbifurcationanalysisoftherabiesepidemicmodel AT aliraza nonstandardcomputationalandbifurcationanalysisoftherabiesepidemicmodel AT naumanahmed nonstandardcomputationalandbifurcationanalysisoftherabiesepidemicmodel AT amrelsonbaty nonstandardcomputationalandbifurcationanalysisoftherabiesepidemicmodel AT muhammadrafiq nonstandardcomputationalandbifurcationanalysisoftherabiesepidemicmodel AT waleedadel nonstandardcomputationalandbifurcationanalysisoftherabiesepidemicmodel |