MATHEMATICAL (SEIRB) MODEL ANALYSIS FOR EVALUATING CHOLERA CONTROL STRATEGIES IN REMOTE DRY SEASON REGION
Cholera, caused by the Vibrio cholerae bacterium, poses a significant public health threat in remote regions of Nigeria, especially during the dry season when access to treated water is limited. This research aims to develop a comprehensive model to understand the rapid spread of cholera in these ar...
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Universitas Nusa Cendana
2024-11-01
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| Series: | Jurnal Diferensial |
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| Online Access: | https://ejurnal.undana.ac.id/index.php/JD/article/view/17868 |
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| author | Zainab Olabisi DERE Asimiyu Olalekan OLADAPO |
| author_facet | Zainab Olabisi DERE Asimiyu Olalekan OLADAPO |
| author_sort | Zainab Olabisi DERE |
| collection | DOAJ |
| description | Cholera, caused by the Vibrio cholerae bacterium, poses a significant public health threat in remote regions of Nigeria, especially during the dry season when access to treated water is limited. This research aims to develop a comprehensive model to understand the rapid spread of cholera in these areas and evaluate the efficacy of control policies, including educational programs, antibiotics, water treatment rates, and environmental cleanliness through resolving the Existence and Uniqueness of the model formulation, Positivity, and Boundedness, Basic Reproduction Number, i.e. the threshold of the disease dynamics. When the versatility of the disease spreads will die out with time and if, the persistence of the disease prevails over time. Local and Global stability analysis of the model was obtained, also the sensitivity analysis for the targeted parameters was analyzed. Additionally, the study incorporates numerical simulations utilizing the homotopy perturbation method to identify the specific impact of the control parameters are for in mitigating the spread of the Vibrio cholerae disease. The result obtained seeks to provide valuable insights into designing effective intervention strategies aforementioned to combat cholera outbreaks in resource-constrained regions, with a focus on improving water accessibility and implementation. |
| format | Article |
| id | doaj-art-247c2621d88340bcbd8bc61ba29edd75 |
| institution | DOAJ |
| issn | 2775-9644 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Universitas Nusa Cendana |
| record_format | Article |
| series | Jurnal Diferensial |
| spelling | doaj-art-247c2621d88340bcbd8bc61ba29edd752025-08-20T02:55:10ZengUniversitas Nusa CendanaJurnal Diferensial2775-96442024-11-016214816910.35508/jd.v6i2.1786817868MATHEMATICAL (SEIRB) MODEL ANALYSIS FOR EVALUATING CHOLERA CONTROL STRATEGIES IN REMOTE DRY SEASON REGIONZainab Olabisi DERE0Asimiyu Olalekan OLADAPO1Florida State University, USAOsun State University, OsogboCholera, caused by the Vibrio cholerae bacterium, poses a significant public health threat in remote regions of Nigeria, especially during the dry season when access to treated water is limited. This research aims to develop a comprehensive model to understand the rapid spread of cholera in these areas and evaluate the efficacy of control policies, including educational programs, antibiotics, water treatment rates, and environmental cleanliness through resolving the Existence and Uniqueness of the model formulation, Positivity, and Boundedness, Basic Reproduction Number, i.e. the threshold of the disease dynamics. When the versatility of the disease spreads will die out with time and if, the persistence of the disease prevails over time. Local and Global stability analysis of the model was obtained, also the sensitivity analysis for the targeted parameters was analyzed. Additionally, the study incorporates numerical simulations utilizing the homotopy perturbation method to identify the specific impact of the control parameters are for in mitigating the spread of the Vibrio cholerae disease. The result obtained seeks to provide valuable insights into designing effective intervention strategies aforementioned to combat cholera outbreaks in resource-constrained regions, with a focus on improving water accessibility and implementation.https://ejurnal.undana.ac.id/index.php/JD/article/view/17868cholera, basic reproduction number, stability analysis, treatment rate, homotopy perturbation method |
| spellingShingle | Zainab Olabisi DERE Asimiyu Olalekan OLADAPO MATHEMATICAL (SEIRB) MODEL ANALYSIS FOR EVALUATING CHOLERA CONTROL STRATEGIES IN REMOTE DRY SEASON REGION Jurnal Diferensial cholera, basic reproduction number, stability analysis, treatment rate, homotopy perturbation method |
| title | MATHEMATICAL (SEIRB) MODEL ANALYSIS FOR EVALUATING CHOLERA CONTROL STRATEGIES IN REMOTE DRY SEASON REGION |
| title_full | MATHEMATICAL (SEIRB) MODEL ANALYSIS FOR EVALUATING CHOLERA CONTROL STRATEGIES IN REMOTE DRY SEASON REGION |
| title_fullStr | MATHEMATICAL (SEIRB) MODEL ANALYSIS FOR EVALUATING CHOLERA CONTROL STRATEGIES IN REMOTE DRY SEASON REGION |
| title_full_unstemmed | MATHEMATICAL (SEIRB) MODEL ANALYSIS FOR EVALUATING CHOLERA CONTROL STRATEGIES IN REMOTE DRY SEASON REGION |
| title_short | MATHEMATICAL (SEIRB) MODEL ANALYSIS FOR EVALUATING CHOLERA CONTROL STRATEGIES IN REMOTE DRY SEASON REGION |
| title_sort | mathematical seirb model analysis for evaluating cholera control strategies in remote dry season region |
| topic | cholera, basic reproduction number, stability analysis, treatment rate, homotopy perturbation method |
| url | https://ejurnal.undana.ac.id/index.php/JD/article/view/17868 |
| work_keys_str_mv | AT zainabolabisidere mathematicalseirbmodelanalysisforevaluatingcholeracontrolstrategiesinremotedryseasonregion AT asimiyuolalekanoladapo mathematicalseirbmodelanalysisforevaluatingcholeracontrolstrategiesinremotedryseasonregion |