<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

Analytic approximation of Volterra’s population model

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Analytic approximation of Volterra\u2019s population model"}

In this paper, the Volterra’s population model is studied for population growth of a species within a closed system. Modified Adomian decomposition method...

Analytic approximation of Volterra’s population model

Published Online: Jun 23, 2017

Page range: 5 - 17

DOI: https://doi.org/10.1515/jamsi-2017-0001

Keywords
Volterra’s population model, Nonlinear intgro-differential equation, Modified Adomian decomposition method, Pade technique, Analytic approximation

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Analytic approximation of Volterra’s population model

Published Online: Jun 23, 2017

Page range: 5 - 17

DOI: https://doi.org/10.1515/jamsi-2017-0001

KeywordsVolterra’s population model, Nonlinear intgro-differential equation, Modified Adomian decomposition method, Pade technique, Analytic approximation

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Volterra’s population model, Nonlinear intgro-differential equation, Modified Adomian decomposition method, Pade technique, Analytic approximation