Taylor collocation approach for delayed Lotka-Volterra predator-prey system

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dc.contributor.authorGokmen E.
dc.contributor.authorIsik O.R.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:12:52Z
dc.date.available2024-07-22T08:12:52Z
dc.date.issued2015
dc.description.abstractIn this study, a numerical approach is proposed to obtain approximate solutions of the system of nonlinear delay differential equations defining Lotka-Volterra prey-predator model. By using the Taylor polynomials and collocation points, this method transforms the population model into a matrix equation. The matrix equation corresponds to a system of nonlinear equations with the unknown Taylor coefficients. Numerical examples are also given to demonstrate the validity and applicability of the presented technique. The method is easy to implement and produces accurate results. All numerical computations have been performed on the computer algebraic system Maple 15. © 2015 Elsevier Inc. All rights reserved.
dc.identifier.DOI-ID10.1016/j.amc.2015.06.110
dc.identifier.issn00963003
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/16196
dc.language.isoEnglish
dc.publisherElsevier Inc.
dc.subjectAlgebra
dc.subjectDifferential equations
dc.subjectMatrix algebra
dc.subjectNonlinear equations
dc.subjectNumerical methods
dc.subjectCollocation approaches
dc.subjectCollocation points
dc.subjectLotka-Volterra predator-prey system
dc.subjectNonlinear delay differential equation
dc.subjectNumerical computations
dc.subjectPrey-predator models
dc.subjectSystem of nonlinear equations
dc.subjectTaylor polynomials and series
dc.subjectPredator prey systems
dc.titleTaylor collocation approach for delayed Lotka-Volterra predator-prey system
dc.typeArticle

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