Behavioral analysis of co-operative/competitive antibody dynamics

The paper presents an analysis of chaos, limit cycles and stability in the antigen-antibody interactive dynamics. Both cooperation and competition of antibodies are considered in the dynamics. The classical approach of Lyapunov has been employed here for the stability analysis of the dynamics. Computer simulations have been undertaken to support the results of the analysis. Both temporal behaviors of the antibodies and their phase portraits have been given to study their chaotic, limit cyclic and stable behavior. Results of stability analysis of the dynamics have been applied in a garbage cleaning problem by a mobile robot.