Abstract
Molecular communication has attracted ever-increasing attention in the recent years. Among its range of applications, target detection for effective drug delivery has been actively discussed both theoretically and practically. In this paper, we present a mathematical model for target detection in a cell that describes the temporal behaviors of the concentrations of bio-nanomachines, attractants, and repellents. Following our previous result guaranteeing the well-posedness of the formulation, this paper studies the stability of solution.