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Series Solutions of Time-Fractional Host-Parasitoid Systems
Journal article   Peer reviewed

Series Solutions of Time-Fractional Host-Parasitoid Systems

A. A. M. Arafa
Journal of statistical physics, Vol.145(5), pp.1357-1367
01/12/2011

Abstract

Article Mathematical and Computational Physics Physical Chemistry Physics Physics and Astronomy Quantum Physics Statistical Physics and Dynamical Systems Theoretical
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.

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