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Title
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Positivity preserving and elementary stable nonstandard finite difference scheme for the predator-prey model
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Type
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JournalPaper
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Keywords
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Predator-Prey, Stability, Positivity, Elementary stable, Nonstandard finite difference.
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Abstract
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In this paper, the nonstandard finite difference method is applied to construct the new finite difference scheme for an initial value problem modeled by a system of nonlinear ordinary differential equations. For this purpose, we consider the general Rosenzweig-MacArthur predator-prey system. The new proposed scheme has some suitable properties such as accuracy and easiness implementation as well as preserving properties of the exact theoretical solution of predator-prey system like positivity and elementary stability.
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Researchers
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Reza Shokri Jahandizi (Fourth Researcher), (Third Researcher), (Second Researcher), Mohammad Mehdizadeh (First Researcher)
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