کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7380303 1480162 2014 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Trichotomous noise controlled signal amplification in a generalized Verhulst model
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Trichotomous noise controlled signal amplification in a generalized Verhulst model
چکیده انگلیسی
The long-time limit of the probability distribution and statistical moments for a population size are studied by means of a stochastic growth model with generalized Verhulst self-regulation. The effect of variable environment on the carrying capacity of a population is modeled by a multiplicative three-level Markovian noise and by a time periodic deterministic component. Exact expressions for the moments of the population size have been calculated. It is shown that an interplay of a small periodic forcing and colored noise can cause large oscillations of the mean population size. The conditions for the appearance of such a phenomenon are found and illustrated by graphs. Implications of the results on models of symbiotic metapopulations are also discussed. Particularly, it is demonstrated that the effect of noise-generated amplification of an input signal gets more pronounced as the intensity of symbiotic interaction increases.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 411, 1 October 2014, Pages 128-137
نویسندگان
, , ,