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arXiv · 1701.05663

Nonstandard finite difference schemes for a general predator-prey system

Quang A Dang·Manh Tuan Hoang
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Abstract

In this paper we transform a continuous-time predator-prey system with general functional response and recruitment for both species into a discrete-time model by nonstandard finite difference scheme (NSFD). The NSFD model shows complete dynamic consistency with its continuous counterpart for any step size. Especially, the global stability of a non-hyperbolic equilibrium point in a particular case of parameters is proved by the Lyapunov stability theorem. The performed numerical simulations confirmed the validity of the obtained theoretical results.

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Quang A Dang, Manh Tuan Hoang. 2017-01-20. Nonstandard finite difference schemes for a general predator-prey system. https://arxiv.org/abs/1701.05663

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