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arXiv · 1906.02513

On the Dynamic Consistency of a Discrete Predator-Prey Model

Priyanka Saha·Nandadulal Bairagi·Milan Biswas
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Abstract

We here discretize a predator-prey model by standard Euler forward method and non-standard finite difference method and then compare their dynamic properties with the corresponding continuous-time model. We show that NSFD model preserves positivity of solutions and is completely consistent with the dynamics of the corresponding continuous-time model. On the other hand, the discrete model formulated by forward Euler method does not show dynamic consistency with its continuous counterpart. Rather it shows scheme--dependent instability when step--size restriction is violated.

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Priyanka Saha, Nandadulal Bairagi, Milan Biswas. 2019-06-06. On the Dynamic Consistency of a Discrete Predator-Prey Model. https://arxiv.org/abs/1906.02513

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