Numerical simulations of a delay model for immune system-tumor interaction
Other Title(s)
المحاكاة العددية لنموذج تفاعل نظام المناعة و الورم السرطاني باستخدام المعادلات التفاضلية التأخيرية
Joint Authors
Haji, Muhammad Ali
al-Mudallal, Qasim
Source
Sultan Qaboos University Journal for Science
Publisher
Sultan Qaboos University College of Science
Publication Date
2018-06-30
Country of Publication
Oman
No. of Pages
13
Main Subjects
English Abstract
In this paper we consider a system of delay differential equations as a model for the dynamics of tumor-immune system interaction.
We carry out a stability analysis of the proposed model.
In particular, we show that the system can have up to two steady states: the tumor free steady state, which always exist, and the tumor persistent steady state, which exists only when the relative rate of increase of the tumor cells exceeds the ratio between the natural proliferation rate and the relative death rate of the effector cells.
We also determine an upper bound for the delay, such that
Data Type
Conference Papers
Record ID
BIM-852440
American Psychological Association (APA)
Haji, Muhammad Ali& al-Mudallal, Qasim. 2018-06-30. Numerical simulations of a delay model for immune system-tumor interaction. International Conference on Numerical Analysis and Optimization (4th : 2017 : Muscat, Oman). . Vol. 23, no. 1 (Special issue) (2018), pp.19-31.Muscat Oman : Sultan Qaboos University College of Science.
https://search.emarefa.net/detail/BIM-852440
Modern Language Association (MLA)
Haji, Muhammad Ali& al-Mudallal, Qasim. Numerical simulations of a delay model for immune system-tumor interaction. . Muscat Oman : Sultan Qaboos University College of Science. 2018-06-30.
https://search.emarefa.net/detail/BIM-852440
American Medical Association (AMA)
Haji, Muhammad Ali& al-Mudallal, Qasim. Numerical simulations of a delay model for immune system-tumor interaction. . International Conference on Numerical Analysis and Optimization (4th : 2017 : Muscat, Oman).
https://search.emarefa.net/detail/BIM-852440