Dynamically Consistent NSFD Methods for Predator-prey System

In this paper, we introduce two nonstandard finite difference (NSFD) methods for solving the mathematical model of the Rosenzweig-MacArthur predator-prey system. These new proposed numerical methods have important features such as positivity and elementary stability. Numerical comparisons between th...

Full description

Bibliographic Details
Main Authors:	Ali Shokri, Mohammad Mehdizadeh Khalsaraei, Maryam Molayi
Format:	Article
Language:	English
Published:	Shahid Chamran University of Ahvaz 2021-07-01
Series:	Journal of Applied and Computational Mechanics
Subjects:	predator-prey stability positivity elementary stable nonstandard finite difference‎
Online Access:	https://jacm.scu.ac.ir/article_16577_d558f1854507e11d2531bd73d81d4d90.pdf

id	doaj-e790e1bf381c47c5991849959b81c027
record_format	Article
spelling	doaj-e790e1bf381c47c5991849959b81c0272021-07-13T13:53:48ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362021-07-01731565157410.22055/jacm.2021.36537.286216577Dynamically Consistent NSFD Methods for Predator-prey SystemAli Shokri0Mohammad Mehdizadeh Khalsaraei1Maryam Molayi2Department of Mathematics, Faculty of Science University of Maragheh, Maragheh, Iran‎Department of Mathematics, Faculty of Science University of Maragheh, Maragheh, Iran‎Department of Mathematics, Faculty of Science University of Maragheh, Maragheh, IranIn this paper, we introduce two nonstandard finite difference (NSFD) methods for solving the mathematical model of the Rosenzweig-MacArthur predator-prey system. These new proposed numerical methods have important features such as positivity and elementary stability. Numerical comparisons between the proposed methods and the other methods such as second-order and forth order Runge-Kutta methods (we refer them RK2 and RK4, respectively), Euler method, and NSFD method presented in [6] indicate that the new methods have better accuracy and convergence.https://jacm.scu.ac.ir/article_16577_d558f1854507e11d2531bd73d81d4d90.pdfpredator-preystabilitypositivityelementary stablenonstandard finite difference‎
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ali Shokri Mohammad Mehdizadeh Khalsaraei Maryam Molayi
spellingShingle	Ali Shokri Mohammad Mehdizadeh Khalsaraei Maryam Molayi Dynamically Consistent NSFD Methods for Predator-prey System Journal of Applied and Computational Mechanics predator-prey stability positivity elementary stable nonstandard finite difference‎
author_facet	Ali Shokri Mohammad Mehdizadeh Khalsaraei Maryam Molayi
author_sort	Ali Shokri
title	Dynamically Consistent NSFD Methods for Predator-prey System
title_short	Dynamically Consistent NSFD Methods for Predator-prey System
title_full	Dynamically Consistent NSFD Methods for Predator-prey System
title_fullStr	Dynamically Consistent NSFD Methods for Predator-prey System
title_full_unstemmed	Dynamically Consistent NSFD Methods for Predator-prey System
title_sort	dynamically consistent nsfd methods for predator-prey system
publisher	Shahid Chamran University of Ahvaz
series	Journal of Applied and Computational Mechanics
issn	2383-4536 2383-4536
publishDate	2021-07-01
description	In this paper, we introduce two nonstandard finite difference (NSFD) methods for solving the mathematical model of the Rosenzweig-MacArthur predator-prey system. These new proposed numerical methods have important features such as positivity and elementary stability. Numerical comparisons between the proposed methods and the other methods such as second-order and forth order Runge-Kutta methods (we refer them RK2 and RK4, respectively), Euler method, and NSFD method presented in [6] indicate that the new methods have better accuracy and convergence.
topic	predator-prey stability positivity elementary stable nonstandard finite difference‎
url	https://jacm.scu.ac.ir/article_16577_d558f1854507e11d2531bd73d81d4d90.pdf
work_keys_str_mv	AT alishokri dynamicallyconsistentnsfdmethodsforpredatorpreysystem AT mohammadmehdizadehkhalsaraei dynamicallyconsistentnsfdmethodsforpredatorpreysystem AT maryammolayi dynamicallyconsistentnsfdmethodsforpredatorpreysystem
_version_	1721305432127963136

Dynamically Consistent NSFD Methods for Predator-prey System

Similar Items