Cover Image

Modeling Rift Valley fever transmission: insights from fractal-fractional dynamics with the Caputo derivative

The infection caused by Rift Valley fever (RVF) virus is a dangerous vector-borne disease found in humans, domestic, and wild animals. It is transferred through insect vectors to ruminant host and then spread through direct contact of infected animals with their body fluid or organs. In this paper,...

Full description

Saved in:
Bibliographic Details
Main Authors: Jan R., Razak N.N.A., Qureshi S., Ahmad I., Bahramand S.
Other Authors: 57205596279
Format: Article
Published: American Institute of Mathematical Sciences 2025
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.uniten.dspace-37110
record_format dspace
spelling my.uniten.dspace-371102025-03-03T15:47:35Z Modeling Rift Valley fever transmission: insights from fractal-fractional dynamics with the Caputo derivative Jan R. Razak N.N.A. Qureshi S. Ahmad I. Bahramand S. 57205596279 37059587300 57204460693 57220824630 58725436500 The infection caused by Rift Valley fever (RVF) virus is a dangerous vector-borne disease found in humans, domestic, and wild animals. It is transferred through insect vectors to ruminant host and then spread through direct contact of infected animals with their body fluid or organs. In this paper, a fractal-fractional model for the transmission of RVF in the Caputo?s sense was presented. We analyzed the model and determined the basic reproduction number through the next-generation matrix technique, indicated by R0. The global sensitivity technique is used for the sensitivity test of R0 to find out the most sensitive input-factors to the reproduction parameter R0. The existence and uniqueness results of the proposed fractal-fractional model were established. Then, we presented the fractal-fractional dynamics of the proposed RVF model through a novel numerical scheme under the fractal-fractional Caputo operator. In the end, the recommended model of RVF was highlighted numerically with the variation of different input parameters of the system. The key factors of the system were highlighted to the policymakers for the control and prevention of the infection. ? 2024 the Author(s), licensee AIMS Press. Final 2025-03-03T07:47:35Z 2025-03-03T07:47:35Z 2024 Article 10.3934/mmc.2024015 2-s2.0-85194290557 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85194290557&doi=10.3934%2fmmc.2024015&partnerID=40&md5=35e349bce836a3a49870469fb9cebcfc https://irepository.uniten.edu.my/handle/123456789/37110 4 2 163 177 American Institute of Mathematical Sciences Scopus
institution Universiti Tenaga Nasional
building UNITEN Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
url_provider http://dspace.uniten.edu.my/
description The infection caused by Rift Valley fever (RVF) virus is a dangerous vector-borne disease found in humans, domestic, and wild animals. It is transferred through insect vectors to ruminant host and then spread through direct contact of infected animals with their body fluid or organs. In this paper, a fractal-fractional model for the transmission of RVF in the Caputo?s sense was presented. We analyzed the model and determined the basic reproduction number through the next-generation matrix technique, indicated by R0. The global sensitivity technique is used for the sensitivity test of R0 to find out the most sensitive input-factors to the reproduction parameter R0. The existence and uniqueness results of the proposed fractal-fractional model were established. Then, we presented the fractal-fractional dynamics of the proposed RVF model through a novel numerical scheme under the fractal-fractional Caputo operator. In the end, the recommended model of RVF was highlighted numerically with the variation of different input parameters of the system. The key factors of the system were highlighted to the policymakers for the control and prevention of the infection. ? 2024 the Author(s), licensee AIMS Press.
author2 57205596279
author_facet 57205596279
Jan R.
Razak N.N.A.
Qureshi S.
Ahmad I.
Bahramand S.
format Article
author Jan R.
Razak N.N.A.
Qureshi S.
Ahmad I.
Bahramand S.
spellingShingle Jan R.
Razak N.N.A.
Qureshi S.
Ahmad I.
Bahramand S.
Modeling Rift Valley fever transmission: insights from fractal-fractional dynamics with the Caputo derivative
author_sort Jan R.
title Modeling Rift Valley fever transmission: insights from fractal-fractional dynamics with the Caputo derivative
title_short Modeling Rift Valley fever transmission: insights from fractal-fractional dynamics with the Caputo derivative
title_full Modeling Rift Valley fever transmission: insights from fractal-fractional dynamics with the Caputo derivative
title_fullStr Modeling Rift Valley fever transmission: insights from fractal-fractional dynamics with the Caputo derivative
title_full_unstemmed Modeling Rift Valley fever transmission: insights from fractal-fractional dynamics with the Caputo derivative
title_sort modeling rift valley fever transmission: insights from fractal-fractional dynamics with the caputo derivative
publisher American Institute of Mathematical Sciences
publishDate 2025
_version_ 1826077568785186816
score 13.244413

Similar Items