Solving fractional-order competitive lotka-volterra model by nsfd schemes
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CitationZibaei, S. & Namjoo, M. (2016). Solving fractional-order competitive lotka-volterra model by nsfd schemes. TWMS Journal of Applied and Engineering Mathematics, 6(2), 264-277.
In this paper, we introduce fractional-order into a model competitive LotkaVolterra prey-predator system. We will discuss the stability analysis of this fractional system. The non-standard finite difference (NSFD) scheme is implemented to study the dynamic behaviors in the fractional-order Lotka-Volterra system. Proposed non-standard 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.
SourceTWMS Journal of Applied and Engineering Mathematics
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