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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| Format: | Thesis |
| Language: | English English |
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2018
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| Online Access: | http://eprints.uthm.edu.my/330/ 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_ | 1848887161687900160 |
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| author | Tang, Chiew Sim |
| author_facet | Tang, Chiew Sim |
| author_sort | Tang, Chiew Sim |
| building | UTHM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T19:49:59Z |
| format | Thesis |
| id | uthm-330 |
| institution | Universiti Tun Hussein Onn Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T19:49:59Z |
| publishDate | 2018 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | uthm-3302021-07-22T07:01:23Z http://eprints.uthm.edu.my/330/ Tumour growth model of cancer self-remission with hassell-varley functional response 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 NonPeerReviewed text en http://eprints.uthm.edu.my/330/1/24p%20TANG%20CHIEW%20SIM.pdf text en http://eprints.uthm.edu.my/330/2/TANG%20CHIEW%20SIM%20WATERMARK.pdf Tang, Chiew Sim (2018) Tumour growth model of cancer self-remission with hassell-varley functional response. Masters thesis, Universiti Tun Hussein Onn Malaysia. |
| spellingShingle | QH Natural history QH301 Biology Tang, Chiew Sim Tumour growth model of cancer self-remission with hassell-varley functional response |
| title | 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_short | 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 |
| topic | QH Natural history QH301 Biology |
| url | http://eprints.uthm.edu.my/330/ http://eprints.uthm.edu.my/330/1/24p%20TANG%20CHIEW%20SIM.pdf http://eprints.uthm.edu.my/330/2/TANG%20CHIEW%20SIM%20WATERMARK.pdf |