A numerical method for discrete fractional--order chemostat model derived from nonstandard numerical scheme
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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 the mentioned fractional system, the well known nonstandard (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.
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Journal title
volume 43 issue 5
pages 1165- 1182
publication date 2017-10-31
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