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1.Introduction AyseHumeyraBilgeandYunusOzdemir Thecriticalpointofasigmoidalcurve

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Figure 1. The Susceptible-Infected-Removed dynamical system S 0 = −kSI, I 0 = kSI − ηI, R 0 = ηI, as a model for the gelation phenomena
Figure 2. The normalized derivatives of the logistic growth y 0 = (1 − y 2 ) (a) The plot of derivatives up to order 30 with respect to y.
Figure 3. (a) Normalized derivatives of the standard logistic growth; (b) Normalized derivatives of the generalized logistic growth (β = 1, k = 1, ν = 1/5) up to order 30
Figure 5. a) Time domain plots of the first derivative of the gener- gener-alized logistic growth for 1/ν = 1, 1/4, 1/8, 1/12
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