Analytic approximation of Volterra’s population model

J. Biazar; K. Hosseini

doi:10.1515/jamsi-2017-0001

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Analytic approximation of Volterra’s population model

Journal of Applied Mathematics, Statistics and Informatics

Volume 13 (2017): Issue 1 (May 2017)

By: J. Biazar and K. Hosseini

Open Access

|Jun 2017

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.

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Articles in this issue

DOI: https://doi.org/10.1515/jamsi-2017-0001 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180

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Language: English

Page range: 5 - 17

Published on: Jun 23, 2017

Published by: University of Ss. Cyril and Methodius in Trnava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Volterra’s population model,

Nonlinear intgro-differential equation,

Modified Adomian decomposition method,

Pade technique,

Analytic approximation

Related subjects:

Computer sciences,

Information technology,

Mathematics,

Logic and set theory,

Probability and statistics,

Applied mathematics

© 2017 J. Biazar, K. Hosseini, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 13 (2017): Issue 1 (May 2017)