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.
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页数：10
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