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

共 39 条

[21] DYNAMIC ANALYSIS OF GENERALIZED VISCOELASTIC FLUIDS
MAKRIS, N
DARGUSH, GF
CONSTANTINOU, MC
[J]. JOURNAL OF ENGINEERING MECHANICS-ASCE, 1993, 119 (08): : 1663 - 1679
[22] THE DYNAMICS OF MULTIPARASITOID-HOST INTERACTIONS
MAY, RM
HASSELL, MP
[J]. AMERICAN NATURALIST, 1981, 117 (03) : 234 - 261
[23] DENSITY DEPENDENCE IN HOST-PARASITOID MODELS
MAY, RM
HASSELL, MP
ANDERSON, RM
TONKYN, DW
[J]. JOURNAL OF ANIMAL ECOLOGY, 1981, 50 (03) : 855 - 865
[24] The random walk's guide to anomalous diffusion: a fractional dynamics approach
Metzler, R
Klafter, J
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 339 (01): : 1 - 77
[25] Non-perturbative analytical solutions of the space- and time-fractional Burgers equations
Momani, S
[J]. CHAOS SOLITONS & FRACTALS, 2006, 28 (04) : 930 - 937
[26] Numerical comparison of methods for solving linear differential equations of fractional order
Momani, Shaher
Odibat, Zaid
[J]. CHAOS SOLITONS & FRACTALS, 2007, 31 (05) : 1248 - 1255
[27] Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
Momani, Shaher
Odibat, Zaid
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 177 (02) : 488 - 494
[28] Analytical approach to linear fractional partial differential equations arising in fluid mechanics
Momani, Shatter
Odibat, Zaid
[J]. PHYSICS LETTERS A, 2006, 355 (4-5) : 271 - 279
[29] MUNKHAMMAR JD, 2005, UNDERGRAD J MATH, V6, P1
[30] New numerical study of Adomian method applied to a diffusion model
Ngarhasta, N
Some, B
Abbaoui, K
Cherruault, Y
[J]. KYBERNETES, 2002, 31 (01) : 61 - 75

← 1 2 3 4 →