عنوان
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Dynamically Consistent NSFD Methods for Predator-prey System
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Predator-Prey, Stability, Positivity, Elementary stable, Nonstandard Finite Difference
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چکیده
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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.
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پژوهشگران
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مریم مولایی (نفر سوم)، محمد مهدی زاده خالسرایی (نفر دوم)، علی شکری (نفر اول)
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