Threshold dynamics for a Tuberculosis model with seasonality
In this paper, we investigate a SEILR tuberculosis model incorporating the effect of seasonal fluctuation, where the loss of sight class is considered. The basic reproductionnumber $R_{0}$ is defined. It is shown that the disease-freeequilibrium is globally asymptotically stable and the diseaseeve...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2011-11-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.111 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590200807620608 |
|---|---|
| author | Xinli Hu |
| author_facet | Xinli Hu |
| author_sort | Xinli Hu |
| collection | DOAJ |
| description | In this paper, we investigate a SEILR tuberculosis model incorporating the effect of seasonal fluctuation, where the loss of sight class is considered. The basic reproductionnumber $R_{0}$ is defined. It is shown that the disease-freeequilibrium is globally asymptotically stable and the diseaseeventually disappears if $R_{0}1$. Numerical simulations are provided to illustrate analytical results. |
| format | Article |
| id | doaj-art-9436853d918c4bf3a936e0e530792b5b |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-9436853d918c4bf3a936e0e530792b5b2025-01-24T02:05:22ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-11-019111112210.3934/mbe.2012.9.111Threshold dynamics for a Tuberculosis model with seasonalityXinli Hu0Department of Applied Mathematics, Xi’an Jiaotong University, Xi’an, 710049In this paper, we investigate a SEILR tuberculosis model incorporating the effect of seasonal fluctuation, where the loss of sight class is considered. The basic reproductionnumber $R_{0}$ is defined. It is shown that the disease-freeequilibrium is globally asymptotically stable and the diseaseeventually disappears if $R_{0}1$. Numerical simulations are provided to illustrate analytical results.https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.111uniformpersistence.basic reproductive numberperiodic solutionseasonal fluctuationglobal asymptotic stability |
| spellingShingle | Xinli Hu Threshold dynamics for a Tuberculosis model with seasonality Mathematical Biosciences and Engineering uniformpersistence. basic reproductive number periodic solution seasonal fluctuation global asymptotic stability |
| title | Threshold dynamics for a Tuberculosis model with seasonality |
| title_full | Threshold dynamics for a Tuberculosis model with seasonality |
| title_fullStr | Threshold dynamics for a Tuberculosis model with seasonality |
| title_full_unstemmed | Threshold dynamics for a Tuberculosis model with seasonality |
| title_short | Threshold dynamics for a Tuberculosis model with seasonality |
| title_sort | threshold dynamics for a tuberculosis model with seasonality |
| topic | uniformpersistence. basic reproductive number periodic solution seasonal fluctuation global asymptotic stability |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.111 |
| work_keys_str_mv | AT xinlihu thresholddynamicsforatuberculosismodelwithseasonality |