کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1140600 1489417 2014 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability and bifurcation analysis in a discrete SIR epidemic model
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Stability and bifurcation analysis in a discrete SIR epidemic model
چکیده انگلیسی

The paper discusses the dynamical behaviors of a discrete-time SIR epidemic model. The local stability of the disease-free equilibrium and endemic equilibrium is obtained. It is shown that the model undergoes flip bifurcation and Hopf bifurcation by using center manifold theorem and bifurcation theory. Numerical simulations not only illustrate our results, but also exhibit the complex dynamical behaviors, such as the period-doubling bifurcation in period-2, 4, 8, quasi-periodic orbits and the chaotic sets. These results reveal far richer dynamical behaviors of the discrete epidemic model compared with the continuous epidemic models although the discrete epidemic model is easy.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 97, March 2014, Pages 80–93
نویسندگان
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