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:
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
http://eprints.uthm.edu.my/7518/
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spelling my.uthm.eprints.75182022-08-15T03:08:03Z http://eprints.uthm.edu.my/7518/ Tumour growth model of cancer self-remission wlth hassell-varley functional response 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 NonPeerReviewed text en http://eprints.uthm.edu.my/7518/1/24p%20TANG%20CHIEW%20SIM.pdf text en http://eprints.uthm.edu.my/7518/2/TANG%20CHIEW%20SIM%20COPYRIGHT%20DECLARATION.pdf text en http://eprints.uthm.edu.my/7518/3/TANG%20CHIEW%20SIM%20WATERMARK.pdf Tang, Chiew Sim (2018) Tumour growth model of cancer self-remission wlth hassell-varley functional response. Masters thesis, Universiti Tun Hussein Onn Malaysia.
institution Universiti Tun Hussein Onn Malaysia
building UTHM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tun Hussein Onn Malaysia
content_source UTHM Institutional Repository
url_provider http://eprints.uthm.edu.my/
language English
English
English
topic QL Zoology
QL1-355 General. Including geographical distribution
spellingShingle QL Zoology
QL1-355 General. Including geographical distribution
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
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
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
http://eprints.uthm.edu.my/7518/
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score 13.211869