On the Dynamic Consistency of a Discrete Predator-Prey Model
Dynamical Systems
2019-06-07 v1
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.
Keywords
Cite
@article{arxiv.1906.02513,
title = {On the Dynamic Consistency of a Discrete Predator-Prey Model},
author = {Priyanka Saha and Nandadulal Bairagi and Milan Biswas},
journal= {arXiv preprint arXiv:1906.02513},
year = {2019}
}