کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1861064 1037483 2011 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A second-sound based, hyperbolic SIR model for high-diffusivity spread
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
A second-sound based, hyperbolic SIR model for high-diffusivity spread
چکیده انگلیسی

We present an analytical study of one-dimensional (1D) kinematic wave phenomena under a hyperbolic SIR model based not on Fick's diffusion law, but rather on the inertial-type II flux law of second-sound theory. Unlike in the Ficken context, we are able to derive exact traveling wave solutions (TWS)s, as well as explicit asymptotic/approximate expressions, for both the susceptibles and infectives. We also determine, using singular surface theory, how shock-fronts resulting from initial jump discontinuities propagate and evolve under this model. In particular, critical values and special cases are examined and possible mitigation methods, which take the form of parameter-value manipulation(s), are noted.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 375, Issue 5, 31 January 2011, Pages 898–907
نویسندگان
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