Intraguild predation model with disease

Ecosystem stability is an important issue in conservation of biodiversity. The stability of predator prey systems or competitive systems has been studied extensively. Although the two fields have been the subject of widespread research recently, no work has been done to study the effect of a disease...

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Main Author:	A. Wahab, Jufiza
Format:	Thesis
Language:	English
Published:	2009
Subjects:	Q Science (General) QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/12328/6/JufizaAWahabMFS2009.pdf
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id	my-utm-ep.12328
record_format	uketd_dc
spelling	my-utm-ep.123282017-09-14T00:41:43Z Intraguild predation model with disease 2009-11 A. Wahab, Jufiza Q Science (General) QA Mathematics Ecosystem stability is an important issue in conservation of biodiversity. The stability of predator prey systems or competitive systems has been studied extensively. Although the two fields have been the subject of widespread research recently, no work has been done to study the effect of a disease on an environment where three species; predator, prey and resource present. Here we analyze modification of Intraguild Predation (IGP) model to account for a disease spreading among prey. We chose the simplest epidemiological model, SI model. Here, we consider the simple mass action incidence. We analyze the stability equilibrium points by using Ruth-Hurwitz criteria. Numerical examples will be introduced to show the stability point. The result seems to indicate that either the disease dies out or both species eventually become infected. 2009-11 Thesis http://eprints.utm.my/id/eprint/12328/ http://eprints.utm.my/id/eprint/12328/6/JufizaAWahabMFS2009.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	Q Science (General) QA Mathematics
spellingShingle	Q Science (General) QA Mathematics A. Wahab, Jufiza Intraguild predation model with disease
description	Ecosystem stability is an important issue in conservation of biodiversity. The stability of predator prey systems or competitive systems has been studied extensively. Although the two fields have been the subject of widespread research recently, no work has been done to study the effect of a disease on an environment where three species; predator, prey and resource present. Here we analyze modification of Intraguild Predation (IGP) model to account for a disease spreading among prey. We chose the simplest epidemiological model, SI model. Here, we consider the simple mass action incidence. We analyze the stability equilibrium points by using Ruth-Hurwitz criteria. Numerical examples will be introduced to show the stability point. The result seems to indicate that either the disease dies out or both species eventually become infected.
format	Thesis
qualification_level	Master's degree
author	A. Wahab, Jufiza
author_facet	A. Wahab, Jufiza
author_sort	A. Wahab, Jufiza
title	Intraguild predation model with disease
title_short	Intraguild predation model with disease
title_full	Intraguild predation model with disease
title_fullStr	Intraguild predation model with disease
title_full_unstemmed	Intraguild predation model with disease
title_sort	intraguild predation model with disease
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2009
url	http://eprints.utm.my/id/eprint/12328/6/JufizaAWahabMFS2009.pdf
_version_	1747814924598378496

Intraguild predation model with disease

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