A note on the construction of a 'valid' NSFD scheme for the Lotka-Volterra equations

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Since 18 July 2019

Title: A note on the construction of a 'valid' NSFD scheme for the Lotka-Volterra equations
Author: Dula, William, Morehouse College
Mickens, Ronald E., Clark Atlanta University
Publication Date: 2017-07-04
Decade: 2010-2019
Abstract: We demonstrate the construction of an explicit NSFD discretization for the standard Lotka-Volterra equations. In contrast to previous NSFD schemes, our representation is dynamic consistent with respect to all the essential properties of the differential equations and their solutions. KEYWORDS: Lotka-Volterra equations, NSFD schemes, nonstandard finite difference schemes, dynamic consistency, positivity, Physical Sciences and Mathematics
Document Type: text
Format: application/pdf
Medium: articles
Source: ArXiv.org: https://arxiv.org/pdf/1707.00298.pdf
Department: Department of Mathematics, Department of Physics
Institution: Morehouse College
Handle: http://hdl.handle.net/20.500.12322/mc.ir.fac.pub:2017_dula_mickens
Rights Statement: http://rightsstatements.org/vocab/InC/1.0/