Andrena movement along a straight line

Sometimes the male is moving along a straight line, without rotation and sideways movement. An example is given here. The male is walking at first and rotating in the direction of the female. After take-off the velocity is increasing until the male collides with the female.

Figure_9

Modelling this movement will begin with the geometry.

Figure_4

The model is essentially a filter of the desired speed sp.

Model_1D

The desired speed sp is filtered by a first order filter, modelling the neural delay. The filtered speed spfilt is filtered again by the filter modelling the mechanics. The result is the velocity vM. The velocity is integrated to obtain the position. The result for the velocity of the example is given in the figure below.

Figure_10

Model parameters sp = 48 cm/s τv = 0.04 s,  τ = 0.04 s.

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