Series Solutions of Time-Fractional Host-Parasitoid Systems

被引：6

作者：

Arafa, A. A. M. ^{[1
]}

机构：

[1] S Valley Univ, Fac Sci, Dept Math, Qena, Egypt

来源：

JOURNAL OF STATISTICAL PHYSICS | 2011年 / 145卷 / 05期

关键词：

Decomposition method; Chemotaxis; Host-parasitoid system; Fractional calculus; DIFFERENTIAL-EQUATIONS; DYNAMICS; HETEROGENEITY; PATTERNS;

D O I：

10.1007/s10955-011-0339-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, Adomian's decomposition method (ADM) has been used for solving time-fractional host-parasitoid system. The derivatives are understood in the Caputo sense. The reason of using fractional order differential equations (FOD) is that FOD are naturally related to systems with memory which exists in most biological systems. Also they are closely related to fractals which are abundant in biological systems. Numerical example justifies the proposed scheme.

引用

页码：1357 / 1367

页数：11

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