کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
839121 908393 2007 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hopf bifurcation analysis and numerical simulations in an ODE model of the immune system with positive immune response
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Hopf bifurcation analysis and numerical simulations in an ODE model of the immune system with positive immune response
چکیده انگلیسی

In this paper, we consider an ordinary differential equations (ODE) for tumor–immune system with positive immune response and a unique nontrivial positive equilibrium. Its dynamics are studied in terms of the local stability and of the description of the Hopf bifurcation which is proven to exist as the parameter of the normal rate of the flow of adult ECs into the tumor site crosses some critical values. We illustrate these results numerically.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 8, Issue 5, December 2007, Pages 1359–1369
نویسندگان
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