Local stability of dengue model using the fractional order system with different memory effect on the host and vector population
In this study, we formulate a fractional order dengue model by considering different order dynamics on human and mosquito population. The order of the differential equation is associated with the index of memory. Both human and mosquito carry a different value of order to showcase the different memo...
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| Format: | Article |
| Language: | English |
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VINČA Institute of Nuclear Sciences
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/81245/ http://psasir.upm.edu.my/id/eprint/81245/1/Local%20stability%20of%20dengue%20model.pdf |
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| author | Hamdan, Nur Izzati Kilicman, Adem |
| author_facet | Hamdan, Nur Izzati Kilicman, Adem |
| author_sort | Hamdan, Nur Izzati |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this study, we formulate a fractional order dengue model by considering different order dynamics on human and mosquito population. The order of the differential equation is associated with the index of memory. Both human and mosquito carry a different value of order to showcase the different memory effect implies to each of them in the transmission process. Local stability of the equilibria is obtained based on the threshold parameter related to the basic reproduction number, denoted by R0. Finally, numerical simulations of the model are conducted to study the dynamical behavior of the system be used for the further study on hybridization of PALF and KF based phenolic composites. |
| first_indexed | 2025-11-15T12:23:18Z |
| format | Article |
| id | upm-81245 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:23:18Z |
| publishDate | 2019 |
| publisher | VINČA Institute of Nuclear Sciences |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-812452021-09-26T22:00:47Z http://psasir.upm.edu.my/id/eprint/81245/ Local stability of dengue model using the fractional order system with different memory effect on the host and vector population Hamdan, Nur Izzati Kilicman, Adem In this study, we formulate a fractional order dengue model by considering different order dynamics on human and mosquito population. The order of the differential equation is associated with the index of memory. Both human and mosquito carry a different value of order to showcase the different memory effect implies to each of them in the transmission process. Local stability of the equilibria is obtained based on the threshold parameter related to the basic reproduction number, denoted by R0. Finally, numerical simulations of the model are conducted to study the dynamical behavior of the system be used for the further study on hybridization of PALF and KF based phenolic composites. VINČA Institute of Nuclear Sciences 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/81245/1/Local%20stability%20of%20dengue%20model.pdf Hamdan, Nur Izzati and Kilicman, Adem (2019) Local stability of dengue model using the fractional order system with different memory effect on the host and vector population. Thermal Science, 23 (1). pp. 327-337. ISSN 0354-9836; ESSN: 2334-7163 http://www.doiserbia.nb.rs/Article.aspx?id=0354-98361900046H#.YVDsRLgzYdU https://doi.org/10.2298/TSCI181122046H |
| spellingShingle | Hamdan, Nur Izzati Kilicman, Adem Local stability of dengue model using the fractional order system with different memory effect on the host and vector population |
| title | Local stability of dengue model using the fractional order system with different memory effect on the host and vector population |
| title_full | Local stability of dengue model using the fractional order system with different memory effect on the host and vector population |
| title_fullStr | Local stability of dengue model using the fractional order system with different memory effect on the host and vector population |
| title_full_unstemmed | Local stability of dengue model using the fractional order system with different memory effect on the host and vector population |
| title_short | Local stability of dengue model using the fractional order system with different memory effect on the host and vector population |
| title_sort | local stability of dengue model using the fractional order system with different memory effect on the host and vector population |
| url | http://psasir.upm.edu.my/id/eprint/81245/ http://psasir.upm.edu.my/id/eprint/81245/ http://psasir.upm.edu.my/id/eprint/81245/ http://psasir.upm.edu.my/id/eprint/81245/1/Local%20stability%20of%20dengue%20model.pdf |