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A NSFD Scheme for the Solving Fractional-Order Competitive Prey-Predator System

Mehran Namjoo, Sadegh Zibaei

Abstract


‎In this paper‎, ‎we introduce fractional--order into a model competitive Lotka-Volterra prey-predator system‎. ‎We will discuss the stability analysis of this fractional system‎. ‎The nonstandard finite difference (NSFD) scheme is implemented‎ ‎to study the dynamic behaviors in the fractional-order Lotka-Volterra system‎. Proposed ‎‎‎nonstandard ‎numerical ‎scheme ‎is ‎compared ‎with ‎the ‎forward ‎Euler ‎and ‎fourth ‎order ‎Runge-Kutta ‎methods. ‎‎‎‎‎Numerical results show that the‎ ‎NSFD approach is easy and accurate for ‎‎implementing ‎when ‎applied to fractional-order Lotka-Volterra model.


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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|