Stochastic Hybrid Hepatitis B Epidemic Model with Markovian Switching
In this paper, we consider a stochastic epidemic model under regime-switching. We show that our model is well-posed by proving the existence of solution, positivity, and uniqueness. Furthermore, we investigate sufficient conditions for the existence of ergodic stationary distribution to the model, w...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/2347414 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832563512893767680 |
|---|---|
| author | A. El Koufi N. Seshagiri Rao |
| author_facet | A. El Koufi N. Seshagiri Rao |
| author_sort | A. El Koufi |
| collection | DOAJ |
| description | In this paper, we consider a stochastic epidemic model under regime-switching. We show that our model is well-posed by proving the existence of solution, positivity, and uniqueness. Furthermore, we investigate sufficient conditions for the existence of ergodic stationary distribution to the model, which shows that the hepatitis B epidemic will persist. In addition, we establish sufficient conditions for the extinction of the hepatitis B epidemic. We perform numerical simulations to confirm and illustrate the theoretical results. |
| format | Article |
| id | doaj-art-a341b75318604202b9dd3a348fa8a8cd |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-a341b75318604202b9dd3a348fa8a8cd2025-02-03T01:20:00ZengWileyComplexity1099-05262022-01-01202210.1155/2022/2347414Stochastic Hybrid Hepatitis B Epidemic Model with Markovian SwitchingA. El Koufi0N. Seshagiri Rao1Laboratory of Analysis, Modeling and Simulation (LAMS)Department of Applied MathematicsIn this paper, we consider a stochastic epidemic model under regime-switching. We show that our model is well-posed by proving the existence of solution, positivity, and uniqueness. Furthermore, we investigate sufficient conditions for the existence of ergodic stationary distribution to the model, which shows that the hepatitis B epidemic will persist. In addition, we establish sufficient conditions for the extinction of the hepatitis B epidemic. We perform numerical simulations to confirm and illustrate the theoretical results.http://dx.doi.org/10.1155/2022/2347414 |
| spellingShingle | A. El Koufi N. Seshagiri Rao Stochastic Hybrid Hepatitis B Epidemic Model with Markovian Switching Complexity |
| title | Stochastic Hybrid Hepatitis B Epidemic Model with Markovian Switching |
| title_full | Stochastic Hybrid Hepatitis B Epidemic Model with Markovian Switching |
| title_fullStr | Stochastic Hybrid Hepatitis B Epidemic Model with Markovian Switching |
| title_full_unstemmed | Stochastic Hybrid Hepatitis B Epidemic Model with Markovian Switching |
| title_short | Stochastic Hybrid Hepatitis B Epidemic Model with Markovian Switching |
| title_sort | stochastic hybrid hepatitis b epidemic model with markovian switching |
| url | http://dx.doi.org/10.1155/2022/2347414 |
| work_keys_str_mv | AT aelkoufi stochastichybridhepatitisbepidemicmodelwithmarkovianswitching AT nseshagirirao stochastichybridhepatitisbepidemicmodelwithmarkovianswitching |