Dynamically Consistent NSFD Methods for Predator-prey System

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Language:
English
Published:
Journal of Applied and Computational Mechanics, Volume:7 Issue: 3, Summer 2021
Pages:
1565 to 1574
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