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An Improved Collocation Approach of Euler Polynomials Connected with Bernoulli Ones for Solving Predator-Prey Models with Time Lag
Joint Authors
Basirat, Behrooz
Elahi, Hamid Reza
Source
International Journal of Differential Equations
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-01
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper deals with an approach to obtaining the numerical solution of the Lotka–Volterra predator-prey models with discrete delay using Euler polynomials connected with Bernoulli ones.
By using the Euler polynomials connected with Bernoulli ones and collocation points, this method transforms the predator-prey model into a matrix equation.
The main characteristic of this approach is that it reduces the predator-prey model to a system of algebraic equations, which greatly simplifies the problem.
For these models, the explicit formula determining the stability and the direction is given.
Numerical examples illustrate the reliability and efficiency of the proposed scheme.
American Psychological Association (APA)
Basirat, Behrooz& Elahi, Hamid Reza. 2020. An Improved Collocation Approach of Euler Polynomials Connected with Bernoulli Ones for Solving Predator-Prey Models with Time Lag. International Journal of Differential Equations،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1169975
Modern Language Association (MLA)
Basirat, Behrooz& Elahi, Hamid Reza. An Improved Collocation Approach of Euler Polynomials Connected with Bernoulli Ones for Solving Predator-Prey Models with Time Lag. International Journal of Differential Equations No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1169975
American Medical Association (AMA)
Basirat, Behrooz& Elahi, Hamid Reza. An Improved Collocation Approach of Euler Polynomials Connected with Bernoulli Ones for Solving Predator-Prey Models with Time Lag. International Journal of Differential Equations. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1169975
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1169975