Tumour growth model of cancer self-remission with 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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2018
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my-uthm-ep.3302021-07-22T07:01:23Z Tumour growth model of cancer self-remission with hassell-varley functional response 2018-01 Tang, Chiew Sim QH Natural history QH301 Biology 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/330/ http://eprints.uthm.edu.my/330/1/24p%20TANG%20CHIEW%20SIM.pdf text en public http://eprints.uthm.edu.my/330/2/TANG%20CHIEW%20SIM%20WATERMARK.pdf text en validuser mphil masters Universiti Tun Hussein Onn Malaysia Faculty of Applied Sciences and Technology |
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Universiti Tun Hussein Onn Malaysia |
| collection |
UTHM Institutional Repository |
| language |
English English |
| topic |
QH Natural history QH301 Biology |
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QH Natural history QH301 Biology Tang, Chiew Sim Tumour growth model of cancer self-remission with 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 with hassell-varley functional response |
| title_short |
Tumour growth model of cancer self-remission with hassell-varley functional response |
| title_full |
Tumour growth model of cancer self-remission with hassell-varley functional response |
| title_fullStr |
Tumour growth model of cancer self-remission with hassell-varley functional response |
| title_full_unstemmed |
Tumour growth model of cancer self-remission with hassell-varley functional response |
| title_sort |
tumour growth model of cancer self-remission with hassell-varley functional response |
| granting_institution |
Universiti Tun Hussein Onn Malaysia |
| granting_department |
Faculty of Applied Sciences and Technology |
| publishDate |
2018 |
| url |
http://eprints.uthm.edu.my/330/1/24p%20TANG%20CHIEW%20SIM.pdf http://eprints.uthm.edu.my/330/2/TANG%20CHIEW%20SIM%20WATERMARK.pdf |
| _version_ |
1747830584022925312 |