کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4499806 1623998 2016 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analysis of a growth model inspired by Gompertz and Korf laws, and an analogous birth-death process
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک علوم کشاورزی و بیولوژیک (عمومی)
پیش نمایش صفحه اول مقاله
Analysis of a growth model inspired by Gompertz and Korf laws, and an analogous birth-death process
چکیده انگلیسی
We propose a new deterministic growth model which captures certain features of both the Gompertz and Korf laws. We investigate its main properties, with special attention to the correction factor, the relative growth rate, the inflection point, the maximum specific growth rate, the lag time and the threshold crossing problem. Some data analytic examples and their performance are also considered. Furthermore, we study a stochastic counterpart of the proposed model, that is a linear time-inhomogeneous birth-death process whose mean behaves as the deterministic one. We obtain the transition probabilities, the moments and the population ultimate extinction probability for this process. We finally treat the special case of a simple birth process, which better mimics the proposed growth model.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical Biosciences - Volume 282, December 2016, Pages 121-134
نویسندگان
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