Dynamic intersectoral models with power-law memory

被引：27

作者：

Tarasova, Valentina V. ^{[1
]}

Tarasov, Vasily E. ^{[2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Business Sch, Moscow 119991, Russia

[2] Moscow MV Lomonosov State Univ, Skobeltsyn Inst Nucl Phys, Moscow 119991, Russia

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2018年 / 54卷

关键词：

MSC; Macroeconomics; Intersectoral model; Fading memory; Power-law memory; Fractional derivative; Leontief model; Input-output model; 26A33; 34A08; FRACTIONAL LANGEVIN MODEL; CALCULUS; ECONOMICS; MARKETS; FINANCE;

D O I：

10.1016/j.cnsns.2017.05.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Intersectoral dynamic models with power-law memory are proposed. The equations of open and closed intersectoral models, in which the memory effects are described by the Caputo derivatives of non-integer orders, are derived. We suggest solutions of these equations, which have the form of linear combinations of the Mittag-Leffler functions and which are characterized by different effective growth rates. Examples of intersectoral dynamics with power-law memory are suggested for two sectoral cases. We formulate two principles of intersectoral dynamics with memory: the principle of changing of technological growth rates and the principle of domination change. It has been shown that in the input-output economic dynamics the effects of fading memory can change the economic growth rate and dominant behavior of economic sectors. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：100 / 117

页数：18

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