کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1139188 1489393 2016 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability and bifurcation analysis of a SIR model with saturated incidence rate and saturated treatment
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Stability and bifurcation analysis of a SIR model with saturated incidence rate and saturated treatment
چکیده انگلیسی

We study the dynamics of a SIR epidemic model with nonlinear incidence rate, vertical transmission vaccination for the newborns and the capacity of treatment, that takes into account the limitedness of the medical resources and the efficiency of the supply of available medical resources. Under some conditions we prove the existence of backward bifurcation, the stability and the direction of Hopf bifurcation. We also explore how the mechanism of backward bifurcation affects the control of the infectious disease. Numerical simulations are presented to illustrate the theoretical findings.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 121, March 2016, Pages 109–132
نویسندگان
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