Analytic approximation of Volterra’s population model-Reference-Cited by-同舟云学术

Analytic approximation of Volterra’s population model

Published:2017-05-24 Issue:1 Volume:13 Page:5-17
ISSN:1336-9180
Container-title:Journal of Applied Mathematics, Statistics and Informatics
language:en
Short-container-title:

Author:

Biazar J.¹²,Hosseini K.²

Affiliation:

1. Department of Applied Mathematics, Faculty of Mathematical Science, University of Guilan, Rasht , Iran

2. Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht , Iran

Abstract

Abstract In this paper, the Volterra’s population model is studied for population growth of a species within a closed system. Modified Adomian decomposition method (MADM) in conjunction with Pade technique is formally proposed to obtain an analytic approximation for the solution of the model, which is a nonlinear intgro-differential equation. The results of the method are compared with the existing exact results, confirming the accuracy and the efficiency of the proposed approach.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

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