DIFFERENCE EQUATION FOR AUSTRALIAN SHEEP BLOWFLIES GROWTH

The population of Australian sheep blowflies, Lucilia cuprina, in Australia is of concern to many researchers because it causes several problems. These problems occur in the sheep industry where there is a term "flystrike" in the industry. Flystrike is a fly attack on sheep that causes myi...

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Main Authors: J I Gisbtarani, M N Huda, H Setiyaningsih, Solikhatun Solikhatun
Format: Article
Language:English
Published: Universitas Pattimura 2024-10-01
Series:Barekeng
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Online Access:https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/12215
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author J I Gisbtarani
M N Huda
H Setiyaningsih
Solikhatun Solikhatun
author_facet J I Gisbtarani
M N Huda
H Setiyaningsih
Solikhatun Solikhatun
author_sort J I Gisbtarani
collection DOAJ
description The population of Australian sheep blowflies, Lucilia cuprina, in Australia is of concern to many researchers because it causes several problems. These problems occur in the sheep industry where there is a term "flystrike" in the industry. Flystrike is a fly attack on sheep that causes myiasis on the sheep's skin, affecting the quality and quantity of wool. In the worst cases, the sheep may die if not treated. This issue has attracted researcher to conduct a population control study of fly growth to suppress flystrike in the Australian sheep industry. In this paper, fly growth will be approached using a difference equation to better represent the industry’s situation. This equation will be analyzed using its approximate solution that is obtained through linearization of perturbation method, Cardano’s formula, and Galois solution’s method. By studying fly growth, Australian sheep farmers may find it easier to handle and prevent fly infestations using the solution.
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language English
publishDate 2024-10-01
publisher Universitas Pattimura
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spelling doaj-art-006eedd0aa3e48fa99fca9e2eaad57182025-08-20T01:47:54ZengUniversitas PattimuraBarekeng1978-72272615-30172024-10-011842203221610.30598/barekengvol18iss4pp2203-221612215DIFFERENCE EQUATION FOR AUSTRALIAN SHEEP BLOWFLIES GROWTHJ I Gisbtarani0M N Huda1H Setiyaningsih2Solikhatun Solikhatun3Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada, IndonesiaCentre for Health Financing Policy and Health Insurance Management, Faculty of Medicine, Public Health, and Nursing, Universitas Gadjah Mada, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada, IndonesiaThe population of Australian sheep blowflies, Lucilia cuprina, in Australia is of concern to many researchers because it causes several problems. These problems occur in the sheep industry where there is a term "flystrike" in the industry. Flystrike is a fly attack on sheep that causes myiasis on the sheep's skin, affecting the quality and quantity of wool. In the worst cases, the sheep may die if not treated. This issue has attracted researcher to conduct a population control study of fly growth to suppress flystrike in the Australian sheep industry. In this paper, fly growth will be approached using a difference equation to better represent the industry’s situation. This equation will be analyzed using its approximate solution that is obtained through linearization of perturbation method, Cardano’s formula, and Galois solution’s method. By studying fly growth, Australian sheep farmers may find it easier to handle and prevent fly infestations using the solution.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/12215australian sheep blowfliesdifference equationperturbation methodpolynomial
spellingShingle J I Gisbtarani
M N Huda
H Setiyaningsih
Solikhatun Solikhatun
DIFFERENCE EQUATION FOR AUSTRALIAN SHEEP BLOWFLIES GROWTH
Barekeng
australian sheep blowflies
difference equation
perturbation method
polynomial
title DIFFERENCE EQUATION FOR AUSTRALIAN SHEEP BLOWFLIES GROWTH
title_full DIFFERENCE EQUATION FOR AUSTRALIAN SHEEP BLOWFLIES GROWTH
title_fullStr DIFFERENCE EQUATION FOR AUSTRALIAN SHEEP BLOWFLIES GROWTH
title_full_unstemmed DIFFERENCE EQUATION FOR AUSTRALIAN SHEEP BLOWFLIES GROWTH
title_short DIFFERENCE EQUATION FOR AUSTRALIAN SHEEP BLOWFLIES GROWTH
title_sort difference equation for australian sheep blowflies growth
topic australian sheep blowflies
difference equation
perturbation method
polynomial
url https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/12215
work_keys_str_mv AT jigisbtarani differenceequationforaustraliansheepblowfliesgrowth
AT mnhuda differenceequationforaustraliansheepblowfliesgrowth
AT hsetiyaningsih differenceequationforaustraliansheepblowfliesgrowth
AT solikhatunsolikhatun differenceequationforaustraliansheepblowfliesgrowth