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Approximate Solutions for a Class of Predator–Prey Systems with Nonstandard Finite Difference Schemes

Approximate Solutions for a Class of Predator–Prey Systems with Nonstandard Finite Difference Schemes

In this paper, we construct new nonstandard finite difference schemes to approximate a set of positive solutions for the predator–prey model, which contains different functional responses. The organization of the denominator of the discrete derivative and nonlocal approximations of nonlinear terms are employed to design the new schemes. The approach …