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The work reported in this paper is motivated towards the development of a mathematical model for swarm systems based on macroscopic primitives.
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Finally, a model for swarming, aggregation and early fruiting body formation is presented.
Two distinct approaches are integrated in the dedicated core field modeling for Swarm, estimating a core field and estimating the Euler angles.
Although a combination of three ETAS models for pre-swarm, swarm, and post-swarm periods better explains the data, a simpler model with an ETAS model and a boxcar function is even better.
Table 1 Root mean square and mean differences (in nT) for the two parent models and for Swarm A and C. The B misfit corresponds to intensity rms difference computed from the VFM dataset.
We presented a simple model for the swarming of P. aeruginosa, wherein the random motion of individual cells is under a threshold-dependent on/off regulation by AHL signals and secreted factors (public goods).
A locally Lipschitz continuous case was recently addressed in a different context for a model of swarming in [67].
MK estimated the source model for the 2013 swarm activity using geodetic data.
The location of the Mogi point source and the locations, sizes (length and width), and orientations (azimuth and dip) of the two open cracks in 2013 were assumed to be the same as in the deformation source model for the 2001 swarm activity by Daita et al. (2009).
The model described above is estimated for Swarm Alpha using data from the beginning of the mission (22 November 2013) until June 2015.
The dynamical system is defined by adding a control feedback to the solution of the Hill Clohessy Wiltshire equations in order to track the desired velocities (as returned by the kinematic swarm model for equilibrium points).
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