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We analyze order-disorder phase transitions driven by noise that occur in twokinds of network models closely related to the self-propelled model proposed byVicsek et. al. to describe the collective motion of groups of organisms[\emph{Phys. Rev. Lett.} {\bf 75}:1226 (1995)]. Two different types of noise,which we call intrinsic and extrinsic, are considered. The intrinsic noise, theone used by Vicsek et. al. in their original work, is related to the decisionmechanism through which the particles update their positions. In contrast, theextrinsic noise, later introduced by Gr\'egoire and Chat\'e [\emph{Phys. Rev.Lett.} {\bf 92}:025702 (2004)], affects the signal that the particles receivefrom the environment. The network models presented here can be considered asthe mean-field representation of the self-propelled model. We show analyticallyand numerically that, for these two network models, the phase transitionsdriven by the intrinsic noise are continuous, whereas the extrinsic noiseproduces discontinuous phase transitions. This is true even for the small-worldtopology, which induces strong spatial correlations between the networkelements. We also analyze the case where both types of noise are presentsimultaneously. In this situation, the phase transition can be continuous ordiscontinuous depending upon the amplitude of each type of noise.

Intrinsic and extrinsic noise effects on the phase transition of swarming systems and related network models