Analysis of the fractional order dengue transmission model: a case study in Malaysia
Dengue is one of the important infectious diseases in the world. In Malaysia, dengue occurs nationally and has been endemic for more than a decade. Hence, the modeling of dengue transmission is of great importance to help us understand the dynamical behavior of the disease. In this paper, we develop...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/80642/ http://psasir.upm.edu.my/id/eprint/80642/1/DENGUE.pdf |
| _version_ | 1848858929539317760 |
|---|---|
| author | Kilicman, Adem Hamdan, Nur Izzati |
| author_facet | Kilicman, Adem Hamdan, Nur Izzati |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Dengue is one of the important infectious diseases in the world. In Malaysia, dengue occurs nationally and has been endemic for more than a decade. Hence, the modeling of dengue transmission is of great importance to help us understand the dynamical behavior of the disease. In this paper, we developed a compartmental model of the dengue transmission using the fractional order differential equation. It consists of six compartments representing the human and mosquito dynamics. The disease-free and the positive endemic equilibrium point are obtained. The stability analysis of the equilibria is presented. A sensitivity analysis of the model is performed to determine the relative importance of the model parameters to the transmission. Numerical simulations are given for different parameter settings. A case study, using the outbreak dengue data in the state of Selangor, Malaysia, in 2012, is presented. |
| first_indexed | 2025-11-15T12:21:15Z |
| format | Article |
| id | upm-80642 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:21:15Z |
| publishDate | 2019 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-806422020-11-04T20:12:22Z http://psasir.upm.edu.my/id/eprint/80642/ Analysis of the fractional order dengue transmission model: a case study in Malaysia Kilicman, Adem Hamdan, Nur Izzati Dengue is one of the important infectious diseases in the world. In Malaysia, dengue occurs nationally and has been endemic for more than a decade. Hence, the modeling of dengue transmission is of great importance to help us understand the dynamical behavior of the disease. In this paper, we developed a compartmental model of the dengue transmission using the fractional order differential equation. It consists of six compartments representing the human and mosquito dynamics. The disease-free and the positive endemic equilibrium point are obtained. The stability analysis of the equilibria is presented. A sensitivity analysis of the model is performed to determine the relative importance of the model parameters to the transmission. Numerical simulations are given for different parameter settings. A case study, using the outbreak dengue data in the state of Selangor, Malaysia, in 2012, is presented. SpringerOpen 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/80642/1/DENGUE.pdf Kilicman, Adem and Hamdan, Nur Izzati (2019) Analysis of the fractional order dengue transmission model: a case study in Malaysia. Advances in Difference Equations. art. no. 31. pp. 1-13. ISSN 1687-1839; ESSN: 1687-1847 https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-019-1981-z 10.1186/s13662-019-1981-z |
| spellingShingle | Kilicman, Adem Hamdan, Nur Izzati Analysis of the fractional order dengue transmission model: a case study in Malaysia |
| title | Analysis of the fractional order dengue transmission model: a case study in Malaysia |
| title_full | Analysis of the fractional order dengue transmission model: a case study in Malaysia |
| title_fullStr | Analysis of the fractional order dengue transmission model: a case study in Malaysia |
| title_full_unstemmed | Analysis of the fractional order dengue transmission model: a case study in Malaysia |
| title_short | Analysis of the fractional order dengue transmission model: a case study in Malaysia |
| title_sort | analysis of the fractional order dengue transmission model: a case study in malaysia |
| url | http://psasir.upm.edu.my/id/eprint/80642/ http://psasir.upm.edu.my/id/eprint/80642/ http://psasir.upm.edu.my/id/eprint/80642/ http://psasir.upm.edu.my/id/eprint/80642/1/DENGUE.pdf |