Stability analysis and application of a mathematical cholera model
In this paper, we conduct a dynamical analysis ofthe deterministic cholera modelproposed in [9]. We study the stability of both thedisease-free and endemic equilibria so as toexplore the complex epidemic and endemic dynamics of the disease.We demonstrate a real-world application of this model byinve...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2011-05-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.733 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590224364929024 |
|---|---|
| author | Shu Liao Jin Wang |
| author_facet | Shu Liao Jin Wang |
| author_sort | Shu Liao |
| collection | DOAJ |
| description | In this paper, we conduct a dynamical analysis ofthe deterministic cholera modelproposed in [9]. We study the stability of both thedisease-free and endemic equilibria so as toexplore the complex epidemic and endemic dynamics of the disease.We demonstrate a real-world application of this model byinvestigating the recent cholera outbreak in Zimbabwe. Meanwhile,we present numerical simulation results to verify theanalytical predictions. |
| format | Article |
| id | doaj-art-e0758a7507cc41a1854c5dca0bbc5f96 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-e0758a7507cc41a1854c5dca0bbc5f962025-01-24T02:01:59ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-05-018373375210.3934/mbe.2011.8.733Stability analysis and application of a mathematical cholera modelShu Liao0Jin Wang1School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067In this paper, we conduct a dynamical analysis ofthe deterministic cholera modelproposed in [9]. We study the stability of both thedisease-free and endemic equilibria so as toexplore the complex epidemic and endemic dynamics of the disease.We demonstrate a real-world application of this model byinvestigating the recent cholera outbreak in Zimbabwe. Meanwhile,we present numerical simulation results to verify theanalytical predictions.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.733cholera model.stabilityequilibriumdynamical system |
| spellingShingle | Shu Liao Jin Wang Stability analysis and application of a mathematical cholera model Mathematical Biosciences and Engineering cholera model. stability equilibrium dynamical system |
| title | Stability analysis and application of a mathematical cholera model |
| title_full | Stability analysis and application of a mathematical cholera model |
| title_fullStr | Stability analysis and application of a mathematical cholera model |
| title_full_unstemmed | Stability analysis and application of a mathematical cholera model |
| title_short | Stability analysis and application of a mathematical cholera model |
| title_sort | stability analysis and application of a mathematical cholera model |
| topic | cholera model. stability equilibrium dynamical system |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.733 |
| work_keys_str_mv | AT shuliao stabilityanalysisandapplicationofamathematicalcholeramodel AT jinwang stabilityanalysisandapplicationofamathematicalcholeramodel |