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In this paper, the fractional-order form of three dimensional chemostat model with variable yields is introduced. The stability analysis of this fractional system is discussed in detail. In order to… Click to show full abstract
In this paper, the fractional-order form of three dimensional chemostat model with variable yields is introduced. The stability analysis of this fractional system is discussed in detail. In order to study the dynamic behaviours of mentioned fractional system, the well known nonstandard finite difference (NSFD) scheme is implemented. The proposed NSFD scheme is compared with the forward Euler and fourth order Runge-Kutta methods. Numerical results show that the NSFD approach is easy and accurate when applied to fractional-order chemostat model.
Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2017
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