1. bookVolume 9 (2013): Issue 4 (December 2013)
Journal Details
License
Format
Journal
eISSN
2784-1391
ISSN
2066-6934
First Published
12 Apr 2013
Publication timeframe
4 times per year
Languages
English
access type Open Access

NUMERICAL RESULTS FOR LOTKA-VOLTERRA MODEL USING APPROXIMATE INERTIAL MANIFOLDS

Published Online: 31 Dec 2013
Volume & Issue: Volume 9 (2013) - Issue 4 (December 2013)
Page range: 41 - 48
Journal Details
License
Format
Journal
eISSN
2784-1391
ISSN
2066-6934
First Published
12 Apr 2013
Publication timeframe
4 times per year
Languages
English
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.

Keywords

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