Approximate solution of the fractional order sterile insect technology model via the Laplace-Adomian decomposition method for the spread of Zika virus disease
type: Item
instance of: scholarly article
title: Approximate solution of the fractional order sterile insect technology model via the Laplace-Adomian decomposition method for the spread of Zika virus disease
zbMATH Open document ID: 1497.92229
DOI: 10.1155/2022/2297630
author: William Atokolo
author: Remigius Okeke Aja
author: Stephen Ekwueme Aniaku
author: Ifeanyi Sunday Onah
author: G. C. E. Mbah
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2022-09-30T00:00:00Z
review text: Summary: Sterile insect technology (SIT) is an environmental-friendly method which depends on the release of sterile male mosquitoes that compete with the wild male mosquitoes and mate with wild female mosquitoes, which leads to the production of no offspring and as such reduces the population of Zika virus vector population over time, thereby eliminating the spread of Zika virus in a population. The fractional order sterile insect technology (SIT) model to reduce the spread of Zika virus disease is considered in this present work. We employed the use Laplace-Adomian decomposition method (LADM) to determine an analytical (approximate) solution of the model. The Laplace-Adomian decomposition method (LADM) produced a solution in form of an infinite series that further converges to the exact value. We compared solutions of the fractional model with the classical case using our plots and discovered that the fractional order has more degree of freedom and as such the system can be varied to get many preferred responses of the different classes of the model as the fraction \(( \beta )\) could be varied to the desired rate, say 0.7, 0.4, etc. We have been able to show that LADM can be used to solve an SIT model which has never been done before in literature.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 92C60
zbMATH DE Number: 7595564
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2022/2297630
OpenAlex ID: W4285092404
Wikidata QID: Q113268302
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description: scientific article; zbMATH DE number 7595564