عنوان مجله
|
Journal of Applied and Computational Mechanics
|
کلیدواژهها
|
Predator-Prey, Stability, Positivity, Elementary stable, Nonstandard Finite Difference
|
چکیده
|
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 [1] indicate that the new methods have better accuracy and convergence.
|