Hopf Bifurcation on a Cancer Therapy Model by Oncolytic Virus Involving the Malignancy Effect and Therapeutic Efficacy
Joint Authors
Aryati, Lina
Adi-Kusumo, F.
Risdayati, S.
Norhidayah, S.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-28
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We introduce a mathematical model that shows the interaction dynamics between the uninfected and the infected cancer cell populations with oncolytic viruses for the benign and the malignant cancer cases.
There are two important parameters in our model that represent the malignancy level of the cancer cells and the efficacy of the therapy.
The parameters play an important role to determine the possibility to have successful therapy for cancer.
Our model is based on the predator-prey model with logistic growth, functional response, and the saturation effect that show the possibility for the virus to be deactivated and blocked by the human immune system after they reach a certain value.
In this paper, we consider the appearance of the Hopf bifurcation on the system to characterize the treatment response based on the malignancy effect of the disease.
We employ numerical bifurcation analysis when the value of the malignancy parameter is varied to understand the dynamics of the system.
American Psychological Association (APA)
Adi-Kusumo, F.& Aryati, Lina& Risdayati, S.& Norhidayah, S.. 2020. Hopf Bifurcation on a Cancer Therapy Model by Oncolytic Virus Involving the Malignancy Effect and Therapeutic Efficacy. International Journal of Mathematics and Mathematical Sciences،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1172653
Modern Language Association (MLA)
Adi-Kusumo, F.…[et al.]. Hopf Bifurcation on a Cancer Therapy Model by Oncolytic Virus Involving the Malignancy Effect and Therapeutic Efficacy. International Journal of Mathematics and Mathematical Sciences No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1172653
American Medical Association (AMA)
Adi-Kusumo, F.& Aryati, Lina& Risdayati, S.& Norhidayah, S.. Hopf Bifurcation on a Cancer Therapy Model by Oncolytic Virus Involving the Malignancy Effect and Therapeutic Efficacy. International Journal of Mathematics and Mathematical Sciences. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1172653
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1172653