On the Random Non-Autonomous Logistic Equation with Time-Dependent Coefficients

被引：2

作者：

Calatayud, J. ^{[1
]}

Cortes, J-C ^{[1
]}

Dorini, F. A. ^{[2
]}

机构：

[1] Univ Politecn Valencia, Inst Univ Matemat Multidisciplinar, Camino Vera S-N, Valencia 46022, Spain

[2] Univ Tecnol Fed Parana, Dept Math, BR-80230901 Curitiba, Parana, Brazil

来源：

FLUCTUATION AND NOISE LETTERS | 2021年 / 20卷 / 04期

关键词：

Logistic growth model; time-dependent carrying capacity; random parameters; probability density function; DENSITY-FUNCTION; POPULATION; MODELS;

D O I：

10.1142/S0219477521500383

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we deal with the non-autonomous logistic growth model with time-dependent intrinsic growth rate and carrying capacity. Accounting for errors in recorded data, randomness is incorporated into the equation by assuming that the input parameters are random variables. The uncertainty of the model output is quantified by approximations of the first probability density function via the random variable transformation method. A numerical example illustrates the results.

引用

页数：10

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