کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4627590 1631812 2014 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Computing the basic reproductive numbers for epidemiological models in nonhomogeneous environments
ترجمه فارسی عنوان
محاسبه اعداد اساسی تولید مثل برای مدل های اپیدمیولوژیک در محیط های غیر همگانی
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

In this paper, we present a numerical method to calculate the basic reproductive number, commonly denoted as R0R0, for a class of compartmental epidemiological models in nonhomogeneous environments. We focus our attention on time-periodic models that incorporate seasonal variation and heterogeneity into disease dynamics. Our numerical algorithm is based on a procedure that efficiently transforms the operator eigenvalue problem into a matrix eigenvalue problem. In addition to time-periodic ODE models, the proposed computational approach can also be applied to spatially heterogeneous epidemic models represented by reaction–diffusion PDE systems. We present several examples to demonstrate the validity and application of this algorithm, and we compare the method with existing approaches for the calculation of R0R0.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 242, 1 September 2014, Pages 473–490
نویسندگان
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