Fig. 3 Proposed attractive velocity field representation that explains motion of agents in a near range of interaction.
Figure 3 shows the proposed parametric function (vec {G}_{near}(r)) for approximating velocity fields in a near range of interactions over a two-dimensional plane (x,y).
By taking the estimations of attractive centers of force generated by agents that behave according to a near range of interaction explained in Section 3.1.
Consistently, the larger such radius is, the near range of interaction effect becomes broader, i.e., a larger period of deceleration is detected.
Each velocity field in a near range of interactions can be described by the set of parameters (xi = [beta,alpha, mathcal {X}_{0}, sigma ]).
Accordingly, for distinguishing between far and near ranges of interaction, magnitudes of (U_{k}^{s}) are analyzed through consecutive time instants, such that: If (||U_{k}^{s}||_{2}) values decrease continuously in a range of time Δ K switch, the moving agent is assumed to be in a near range of interaction, proposed in Eq. (4).
As a moving agent is approaching an attractive center of force, the number N of measurements identified in a near range of interaction will increase as more vectors ([Z_{k text {near})}^{s},U_{k text {near})}^{s}]) are available.
Based on this, two motion stages are defined: i) When the agent is near to an attractive center of force (near range of interaction) and ii) When the agent is far from it (far range of interaction).
When moving agents are located at a distance r>r switch from an attractive area, it is proposed to use a probability density function (PDF) to describe the agents' velocities until they start reducing their speeds due to a near range of interactions effect previously explained in Section 3.1.
Pesticide applications in general should not occur in near range of children, as the potential for drifting chemicals can be inhaled and absorbed through skin contact.
