ورقة بحثية
Numerical Simulations of a Delay Model for Immune System-Tumor Interaction = المحاكاة العددية لنموذج تفاعل نظام المناعة والورم السرطاني باستخدام المعادلات التفاضلية التأخيرية

Hajji, Mohamed Ali.


 

Numerical Simulations of a Delay Model for Immune System-Tumor Interaction = المحاكاة العددية لنموذج تفاعل نظام المناعة والورم السرطاني باستخدام المعادلات التفاضلية التأخيرية

Hajji, Mohamed Ali.

In this paper we consider a system of delay differential equations as a model for the dynamics of tumorimmune 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 stability is preserved. Numerical simulations of the system under different parameter values are performed.

In this paper we consider a system of delay differential equations as a model for the dynamics of tumorimmune 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 alway...

مادة فرعية

المؤلف : Hajji, Mohamed Ali.

مؤلف مشارك : Al Mdallal, Qasem

بيانات النشر : Muscat، Sultanate of Oman : Sultan Qaboos Journal of Science، 2018مـ.

التصنيف الموضوعي : العلوم البحتة| .

المواضيع : Mathematics .

Statistics .

الرياضيات .

الإحصاء .

رقم الطبعة : 1

المصدر : Sultan Qaboos University : Muscat، Sultanate of Oman.

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