کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9498522 | 1631203 | 2005 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Sensitivity of the stable distribution vector for a size-classified population model
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Sensitivity of the stable distribution vector for a size-classified population model Sensitivity of the stable distribution vector for a size-classified population model](/preview/png/9498522.png)
چکیده انگلیسی
We consider the class of projection matrices arising from the size-classified matrix model for population growth. Suppose that such a matrix M is irreducible, and that the corresponding stable distribution vector is x. We give formulae for the partial derivatives of the entries in x with respect to the demographic parameters in M. Those formulae only require knowledge of the entries in M and the Perron value of M. For the special case that M is a Leslie matrix, we discuss various concavity and order properties of the partial derivatives, and for a large subclass of Leslie matrices, provide bounds on the sizes of the relevant partial derivatives.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 398, 15 March 2005, Pages 3-23
Journal: Linear Algebra and its Applications - Volume 398, 15 March 2005, Pages 3-23
نویسندگان
Steve Kirkland,