Global stability and sensitivity analysis of vector-host dengue mathematical model
Dengue impacts 129 nations, threatens over 50% of the global population, and results in around 400 million illnesses annually. The purpose of this paper was to build the global stability and sensitivity analysis of a vector-host dengue mathematical model with compartments of symptomatic and hospital...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2024-11-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241569?viewType=HTML |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1846143163937325056 |
|---|---|
| author | Turki D. Alharbi Md Rifat Hasan |
| author_facet | Turki D. Alharbi Md Rifat Hasan |
| author_sort | Turki D. Alharbi |
| collection | DOAJ |
| description | Dengue impacts 129 nations, threatens over 50% of the global population, and results in around 400 million illnesses annually. The purpose of this paper was to build the global stability and sensitivity analysis of a vector-host dengue mathematical model with compartments of symptomatic and hospitalized infected humans. Additionally, it aimed to assess the impact of the immunological response of vulnerable individuals, through the ingestion of natural foods, on the transmission of the disease. The solution's positivity and boundedness proved the model's mathematical well-posedness. To examine endemicity, the reproduction number was calculated using the next-generation technique. The Lyapunov function approach was employed to illustrate the model's global stability. Our mathematical discoveries were illustrated through numerical simulations of the dengue epidemic. The dynamical system sensitivity analysis suggests that the best way to control illness is to increase the immune system rate of susceptible hosts by consuming natural foods. |
| format | Article |
| id | doaj-art-d766f3210ffe4c068bcb6dd88948923a |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-d766f3210ffe4c068bcb6dd88948923a2024-12-03T01:12:51ZengAIMS PressAIMS Mathematics2473-69882024-11-01911327973281810.3934/math.20241569Global stability and sensitivity analysis of vector-host dengue mathematical modelTurki D. Alharbi 0Md Rifat Hasan11. Department of Mathematics, Al-Leith University College, Umm Al-Qura University, Mecca 24231, Saudi Arabia2. Department of Applied Mathematics, Faculty of Science, Noakhali Science and Technology University, Noakhali 3814, BangladeshDengue impacts 129 nations, threatens over 50% of the global population, and results in around 400 million illnesses annually. The purpose of this paper was to build the global stability and sensitivity analysis of a vector-host dengue mathematical model with compartments of symptomatic and hospitalized infected humans. Additionally, it aimed to assess the impact of the immunological response of vulnerable individuals, through the ingestion of natural foods, on the transmission of the disease. The solution's positivity and boundedness proved the model's mathematical well-posedness. To examine endemicity, the reproduction number was calculated using the next-generation technique. The Lyapunov function approach was employed to illustrate the model's global stability. Our mathematical discoveries were illustrated through numerical simulations of the dengue epidemic. The dynamical system sensitivity analysis suggests that the best way to control illness is to increase the immune system rate of susceptible hosts by consuming natural foods.https://www.aimspress.com/article/doi/10.3934/math.20241569?viewType=HTMLbasic reproduction number (r0)denguelyapunovsensitivityglobal stability |
| spellingShingle | Turki D. Alharbi Md Rifat Hasan Global stability and sensitivity analysis of vector-host dengue mathematical model AIMS Mathematics basic reproduction number (r0) dengue lyapunov sensitivity global stability |
| title | Global stability and sensitivity analysis of vector-host dengue mathematical model |
| title_full | Global stability and sensitivity analysis of vector-host dengue mathematical model |
| title_fullStr | Global stability and sensitivity analysis of vector-host dengue mathematical model |
| title_full_unstemmed | Global stability and sensitivity analysis of vector-host dengue mathematical model |
| title_short | Global stability and sensitivity analysis of vector-host dengue mathematical model |
| title_sort | global stability and sensitivity analysis of vector host dengue mathematical model |
| topic | basic reproduction number (r0) dengue lyapunov sensitivity global stability |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241569?viewType=HTML |
| work_keys_str_mv | AT turkidalharbi globalstabilityandsensitivityanalysisofvectorhostdenguemathematicalmodel AT mdrifathasan globalstabilityandsensitivityanalysisofvectorhostdenguemathematicalmodel |