Exponential Attractor for One-Dimensional Self-Organizing Target-Detection Model

Abstract

Okaie et al. [8] utilized the Keller-Segel model for mobile bionanosensor networks for target tracking. They introduced a mathematical formulation and described numerical results. In this paper, we would like to study analytically their model. We first construct a unique local solution for model equations. Second, we establish a priori estimates for local solutions to obtain a global solution. Finally, after constructing a non-autonomous dynamical system, we will show existence of exponential attractors.