کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
759240 896469 2010 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analysis of an epidemic model with density-dependent birth rate, birth pulses
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Analysis of an epidemic model with density-dependent birth rate, birth pulses
چکیده انگلیسی

In this paper, we propose an SIS epidemic model for which population births occur during a single period of the year. Using the discrete map, we obtain exact periodic solutions of system which is with Ricker function. The existence and stability of the infection-free periodic solution and the positive periodic solution are investigated. The Poincaré map, the center manifold theorem and the bifurcation theorem are used to discuss flip bifurcation and bifurcation of the positive periodic solution. Numerical results imply that the dynamical behaviors of the epidemic model with birth pulses are very complex, including small-amplitude periodic 1 solution, large-amplitude multi-periodic cycles, and chaos. This suggests that birth pulse, in effect, provides a natural period or cyclicity that allow for a period-doubling route to chaos.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 15, Issue 11, November 2010, Pages 3568–3576
نویسندگان
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