Hi Ms. Bandi, I am not the author of the paper but I am a researcher in swarm intelligence. I do not think there are explicit parameters in this paper for exploration and exploitation. These are emergent results of tweaking parameters - cohesion, alignment, separation, attraction and distraction. Hope the below paragraphs from the paper helps to clear up your question.
Excerpt from the paper:
With separation, alignment, cohesion, food, and enemy factors (s, a, c, f, and e), different explorative and exploitative behaviours can achieved during optimization. Neighbours of dragonflies are very important, so a neighbourhood (circle in a 2D, sphere in a 3D space, or hyper-sphere in an nD space) with a certain radius is assumed around each artificial dragonfly. An example of swarming behaviour of dragonflies with increasing neighbourhood radius using the proposed mathematical model is illustrated in Fig. 3.
As discussed in the previous subsection, dragonflies only show two types of swarms: static and dynamic as shown in Fig. 4. As may be seen in this figure, dragonflies tend to align their flying while maintaining proper separation and cohesion in a dynamic swarm. In a static swarm, however, alignments are very low while cohesion is high to attack preys. Therefore, we assign dragonflies with high alignment and low cohesion weights when exploring the search space and low alignment and high cohesion when exploiting the search space. For transition between exploration and exploitation, the radii of neighbourhoods are increased proportional to the number of iterations. Another way to balance exploration and exploitation is to adaptively tune the swarming factors (s, a, c, f, e, and w) during optimization.
I think there is not just one parameter to effect exploration and exploitation at one moment, and adapting parameters maybe a good idea. By the way thanks for your explanation, that's quiet helpful.