GENERAL

Homotopy Analysis Method for Solving Biological Population Model

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2011 Chinese Physical Society and IOP Publishing Ltd
, , Citation Arafa A.A.M. et al 2011 Commun. Theor. Phys. 56 797 DOI 10.1088/0253-6102/56/5/01

0253-6102/56/5/797

Abstract

In this paper, the homotopy analysis method (HAM) is applied to solve generalized biological population models. The fractional derivatives are described by Caputo's sense. The method introduces a significant improvement in this field over existing techniques. Results obtained using the scheme presented here agree well with the analytical solutions and the numerical results presented in Ref. [6]. However, the fundamental solutions of these equations still exhibit useful scaling properties that make them attractive for applications.

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10.1088/0253-6102/56/5/01