$A nonstandard finite difference scheme for solving three-species food chain with fractional-order Lotka-Volterra model$

A nonstandard finite difference scheme for solving three-species food chain with fractional-order Lotka-Volterra model

‎‎In this paper‎, ‎we introduce fractional-order for a model of tritrophic food chain Lotka-Volterra‎. ‎Moreover‎, ‎we discuss the stability analysis of fractional system‎. ‎The nonstandard finite difference (NSFD) scheme is implemented‎ ‎to study the dynamic behaviors in the fractional-order Lotka-...

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Veröffentlicht in:	Iranian journal of numerical analysis and optimization 2016-02, Vol.6 (1), p.53-79
Hauptverfasser:	Sadegh Zibaei, Mehran Namjoo
Format:	Artikel
Sprache:	eng
Schlagworte:	fractional differential equations lotka-volterra model nonstandard finite difference scheme prey-predator system stability
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Beschreibung
Zusammenfassung:	‎‎In this paper‎, ‎we introduce fractional-order for a model of tritrophic food chain Lotka-Volterra‎. ‎Moreover‎, ‎we discuss the stability analysis of fractional system‎. ‎The nonstandard finite difference (NSFD) scheme is implemented‎ ‎to study the dynamic behaviors in the fractional-order Lotka-Volterra system‎. ‎Numerical results show that the‎ ‎NSFD approach is easy to implement and accurate when applied to fractional -order Lotka-Volterra system‎.
ISSN:	2423-6977 2423-6969
DOI:	10.22067/ijnao.v6i1.41619