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

Medicine

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

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