Tumour growth model of cancer self-remission wlth hassell-varley functional response

Predator-prey like models with functional responses such as Holling type I and II have been studied previously to model the interaction between tumour cells, hunting predator cells and resting predator cells. The aim of this study is to introduce another type of functional response which is Hassell-...

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Main Author:	Tang, Chiew Sim
Format:	Thesis
Language:	English English English
Published:	2018
Subjects:	QL Zoology
Online Access:	http://eprints.uthm.edu.my/7518/1/24p%20TANG%20CHIEW%20SIM.pdf http://eprints.uthm.edu.my/7518/2/TANG%20CHIEW%20SIM%20COPYRIGHT%20DECLARATION.pdf http://eprints.uthm.edu.my/7518/3/TANG%20CHIEW%20SIM%20WATERMARK.pdf
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id	my-uthm-ep.7518
record_format	uketd_dc
spelling	my-uthm-ep.75182022-08-15T03:08:03Z Tumour growth model of cancer self-remission wlth hassell-varley functional response 2018-01 Tang, Chiew Sim QL Zoology QL1-355 General. Including geographical distribution Predator-prey like models with functional responses such as Holling type I and II have been studied previously to model the interaction between tumour cells, hunting predator cells and resting predator cells. The aim of this study is to introduce another type of functional response which is Hassell-Varley into predator-prey interaction of tumour model of cancer self-remission. Dimensional analysis, stability analysis and bifurcation analysis are used to analyse the model. Under certain condition, our numerical analysis showed an existence of Hopf-bifurcation for some parameter ranges, which generate periodic solution. 2018-01 Thesis http://eprints.uthm.edu.my/7518/ http://eprints.uthm.edu.my/7518/1/24p%20TANG%20CHIEW%20SIM.pdf text en public http://eprints.uthm.edu.my/7518/2/TANG%20CHIEW%20SIM%20COPYRIGHT%20DECLARATION.pdf text en staffonly http://eprints.uthm.edu.my/7518/3/TANG%20CHIEW%20SIM%20WATERMARK.pdf text en validuser mphil masters Universiti Tun Hussein Onn Malaysia Fakulti Sains Gunaan dan Teknologi
institution	Universiti Tun Hussein Onn Malaysia
collection	UTHM Institutional Repository
language	English English English
topic	QL Zoology QL Zoology
spellingShingle	QL Zoology QL Zoology Tang, Chiew Sim Tumour growth model of cancer self-remission wlth hassell-varley functional response
description	Predator-prey like models with functional responses such as Holling type I and II have been studied previously to model the interaction between tumour cells, hunting predator cells and resting predator cells. The aim of this study is to introduce another type of functional response which is Hassell-Varley into predator-prey interaction of tumour model of cancer self-remission. Dimensional analysis, stability analysis and bifurcation analysis are used to analyse the model. Under certain condition, our numerical analysis showed an existence of Hopf-bifurcation for some parameter ranges, which generate periodic solution.
format	Thesis
qualification_name	Master of Philosophy (M.Phil.)
qualification_level	Master's degree
author	Tang, Chiew Sim
author_facet	Tang, Chiew Sim
author_sort	Tang, Chiew Sim
title	Tumour growth model of cancer self-remission wlth hassell-varley functional response
title_short	Tumour growth model of cancer self-remission wlth hassell-varley functional response
title_full	Tumour growth model of cancer self-remission wlth hassell-varley functional response
title_fullStr	Tumour growth model of cancer self-remission wlth hassell-varley functional response
title_full_unstemmed	Tumour growth model of cancer self-remission wlth hassell-varley functional response
title_sort	tumour growth model of cancer self-remission wlth hassell-varley functional response
granting_institution	Universiti Tun Hussein Onn Malaysia
granting_department	Fakulti Sains Gunaan dan Teknologi
publishDate	2018
url	http://eprints.uthm.edu.my/7518/1/24p%20TANG%20CHIEW%20SIM.pdf http://eprints.uthm.edu.my/7518/2/TANG%20CHIEW%20SIM%20COPYRIGHT%20DECLARATION.pdf http://eprints.uthm.edu.my/7518/3/TANG%20CHIEW%20SIM%20WATERMARK.pdf
_version_	1747831162675396608

Tumour growth model of cancer self-remission wlth hassell-varley functional response

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