Most of the interactions used in mathematical ecology are products of densities (Lotka-Volterra type), whereas real organisms perform complex interactions. For example, in biological conservation programs, dogs are introduced for eradication, and it is desired to indicate the criteria related to the number of introduced dogs. However, since dogs detect and interact with the target, such a situation cannot be represented by Lotka-Volterra type interaction. Therefore, in this study, I modeled and analyzed the interaction considering patch selection, and examined ① the effects of patch selection on the prey-predator system, and ② the criteria for introducing dogs.