A numerical method for discrete fractional--order chemostat model derived from nonstandard numerical scheme

ýIn this paperý, ýthe fractional--order form of three dimensional chemostat model with variable yields is introducedý. ýThe stability analysis of this fractional system is discussed in detailý. ýIn order to study the dynamic behaviours of the mentioned fractional systemý, ýthe well known nonstandard (NSFD) scheme is implementedý. ýThe proposed NSFD scheme is compared with the forward Euler and fourth order Runge--Kutta methodsý. ýNumerical results show that the NSFD approach is easy and accurate when applied to fractional--order chemostat model.