The Fractionalization of Modified Logistic Equation to Predict the Growth of Microalgae Botryococcus sp.
Journal of Physics: Conference Series(2020)
摘要
Abstract In this paper, a fractional – order modified logistic equation is proposed where the extended Monod model is considered for microalgae Botryococcus sp. growth. The fractional calculus approach was applied to the integer – order modified logistic equation. Hence, the well – known numerical approach, Adams-type predictor – corrector method was implemented to solve the fractional – order modified logistic equation. The numerical simulations were carried out to simulate the classical integer – order and the fractional – order equations in describing the real experimental data of microalgae Botryococcus sp. growth. The results show the fractional – order version of the equation is promising with the experimental data.
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关键词
microalgae botryococcus sp,modified logistic equation
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