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

Tang, Chiew Sim (2018) Tumour growth model of cancer self-remission with hassell-varley functional response. Masters thesis, Universiti Tun Hussein Onn Malaysia.

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Abstract

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.

Item Type: Thesis (Masters)
Subjects: Q Science > QL Zoology
Divisions: Faculty of Applied Science and Technology > Department of Mathematics and Statistic
Depositing User: Sabarina Che Mat
Date Deposited: 02 Feb 2020 04:02
Last Modified: 20 Nov 2020 03:42
URI: http://eprints.uthm.edu.my/id/eprint/12095
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