کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4628131 1631824 2014 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hopf bifurcation of an epidemic model with a nonlinear birth in population and vertical transmission
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Hopf bifurcation of an epidemic model with a nonlinear birth in population and vertical transmission
چکیده انگلیسی

In this paper, an epidemic model involving a nonlinear birth in population and vertical transmission was studied. When R0<1R0<1, the disease-free equilibrium was stable, while if R0>1R0>1, the disease-free equilibrium was unstable. We researched the existence of Hopf bifurcation and obtained the stability and direction of the Hopf bifurcation by using the normal theory and the center manifold theorem. Numerical simulations were carried out to illustrate the main theoretical results and a brief discussion was given to conclude this work.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 230, 1 March 2014, Pages 164–173
نویسندگان
, ,