NUMERICAL RESULTS FOR LOTKA-VOLTERRA MODEL USING APPROXIMATE INERTIAL MANIFOLDS

Simona Cristina Nartea

doi:10.2478/mmce-2013-0017

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NUMERICAL RESULTS FOR LOTKA-VOLTERRA MODEL USING APPROXIMATE INERTIAL MANIFOLDS

Modelling in Civil Environmental Engineering

Volume 9 (2013): Issue 4 (December 2013)

By: Simona Cristina Nartea

Open Access

|Dec 2013

Abstract

A numerical study on the classical Lotka-Volterra model is performed, using approximate inertial manifolds. An analytical study consisting in the inertial form of the system is made. The construction of the approximate inertial manifolds is based on the identification of the absorbing domains using the graphical representations of the phase portraits. The hypotheses of the Jolly-Rosa-Temam algorithm are verified for certain values of parameters and the approximate inertial manifolds are constructed. Errors of approximation are computed.

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Articles in this issue

DOI: https://doi.org/10.2478/mmce-2013-0017 | Journal eISSN: 2784-1391

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Language: English

Page range: 41 - 48

Published on: Dec 31, 2013

Published by: Technical University of Civil Engineering of Bucharest

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

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© 2013 Simona Cristina Nartea, published by Technical University of Civil Engineering of Bucharest
This work is licensed under the Creative Commons License.

Volume 9 (2013): Issue 4 (December 2013)