کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4632318 1340642 2010 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bifurcation analysis of a delayed epidemic model
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Bifurcation analysis of a delayed epidemic model
چکیده انگلیسی
In this paper, Hopf bifurcation for a delayed SIS epidemic model with stage structure and nonlinear incidence rate is investigated. Through theoretical analysis, we show the positive equilibrium stability and the conditions that Hopf bifurcation occurs. Applying the normal form theory and the center manifold argument, we derive the explicit formulas determining the properties of the bifurcating periodic solutions. In addition, we also study the effect of the inhibition effect on the properties of the bifurcating periodic solutions. To illustrate our theoretical analysis, some numerical simulations are also included.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 216, Issue 3, 1 April 2010, Pages 753-767
نویسندگان
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