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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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Main Authors: Hamdan, Nur Izzati, Kilicman, Adem
Format: Article
Language:English
Published: VINČA Institute of Nuclear Sciences 2019
Online Access:http://psasir.upm.edu.my/id/eprint/81245/1/Local%20stability%20of%20dengue%20model.pdf
http://psasir.upm.edu.my/id/eprint/81245/
http://www.doiserbia.nb.rs/Article.aspx?id=0354-98361900046H#.YVDsRLgzYdU
https://doi.org/10.2298/TSCI181122046H
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Hamdan, Nur Izzati
Kilicman, Adem
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
author_facet Hamdan, Nur Izzati
Kilicman, Adem
author_sort Hamdan, Nur Izzati
title 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_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_sort local stability of dengue model using the fractional order system with different memory effect on the host and vector population
publisher VINČA Institute of Nuclear Sciences
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/81245/1/Local%20stability%20of%20dengue%20model.pdf
http://psasir.upm.edu.my/id/eprint/81245/
http://www.doiserbia.nb.rs/Article.aspx?id=0354-98361900046H#.YVDsRLgzYdU
https://doi.org/10.2298/TSCI181122046H
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score 13.211869

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