TWO-SCALE FRACTAL THEORY FOR THE POPULATION DYNAMICS

被引：86

作者：

Anjum, Naveed ^{[1
,3
,4
]}

He, Chun-Hui ^{[5
]}

He, Ji-Huan ^{[1
,2
,6
]}

机构：

[1] Soochow Univ, Coll Text & Engn, Natl Engn Lab Modern Silk, Suzhou, Peoples R China

[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Henan, Peoples R China

[3] Soochow Univ, Sch Math Sci, Suzhou, Peoples R China

[4] Govt Coll Univ, Dept Math, Faisalabad, Pakistan

[5] Xian Univ Architecture & Technol, Sch Civil Engn, Xian 710055, Peoples R China

[6] Xian Univ Architecture & Technol, Sch Sci, Xian, Peoples R China

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2021年 / 29卷 / 07期

关键词：

Two-Scale Population Model; He-Laplace Method; Fractional Complex Transform; Volterra Integral Equation; Population Dynamics; VARIATIONAL ITERATION METHOD; GROWTH MODEL; TRANSFORM; CALCULUS;

D O I：

10.1142/S0218348X21501826

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper aims to study a two-scale population growth model in a closed system by He-Laplace method together with the fractional complex transform (FCT). The two-scale derivative is described with the help of He's fractional derivative. The FCT approach is used to convert differential equation of the two-scale fractal order in its traditional partner, which is then readily solved by He-Laplace iterative scheme. The results are computed as a series of easily computed components. The validation of the proposed methodology is illustrated by a quantitative comparison of numerical results with those obtained using other techniques. The results show that the proposed method is fast, accurate, straightforward, and computationally reasonable.

引用

页数：10

共 37 条

[1] THE FRACTIONAL COMPLEX TRANSFORM: A NOVEL APPROACH TO THE TIME-FRACTIONAL SCHRoDINGER EQUATION [J].