کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
471657 698653 2006 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global stability in a viral infection model with lytic and nonlytic immune responses **
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Global stability in a viral infection model with lytic and nonlytic immune responses **
چکیده انگلیسی

This paper investigates the global stability of a viral infection model with lytic and nonlytic immune responses. If the basic reproductive ratio of the virus is less than or equal to one, by the LaSalle's invariance principle and center manifold theorem, the disease-free steady state is globally asymptotically stable. If the basic reproductive ratio of the virus is greater than one, then the virus persists in the host and the disease steady state is locally asymptotically stable. Furthermore, by the method of Lyapunov function, the global stability of the disease steady state is established. At the same time, if we neglect the efficacy of the lytic component, using a geometrical approach, we obtain a different type of conditions for the global stability of the disease steady state.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 51, Issues 9–10, May 2006, Pages 1593-1610