کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
838314 908358 2010 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hopf bifurcation direction of a delayed bacteria-immunity system with quorum sensing mechanism
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Hopf bifurcation direction of a delayed bacteria-immunity system with quorum sensing mechanism
چکیده انگلیسی

Considering the mechanism of quorum sensing, we formulate a bacteria-immunity model to describe the competition between bacteria and immune cells on the basis of Zhang’s model (see [9] for more details). A time delay is introduced to characterize the time in which bacteria receive signal molecules and then combat with immune cells. In the sequel, the length of delay which preserves the stability of the positive equilibrium is estimated, and the existence of Hopf bifurcation when the delay crosses through a critical value is investigated. Further, by using the normal form theory and center manifold theory, the explicit formulae are calculated which determine the stability, the direction and the period of bifurcating periodical solutions. Finally, numerical simulations are employed to verify the mathematical conclusions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 11, Issue 4, August 2010, Pages 2422–2435
نویسندگان
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