Behavioral analysis of cooperative/competitive antibody dynamics in garbage cleaning applications

Issue title: Theoretical advances of intelligent paradigms

Article type: Research Article

Authors: Ghosh, Madhumala | Konar, Amit | Jain, L.C. | Chakraborty, Uday K.

Affiliations: ETCE Department, Jadavpur University, Calcutta- 700 032, India | University of South Australia, Adelaide, SA 5095, Australia | Department of Math & Computer Sciuence, University of Missouri, St. Louis, MO-63121, USA

Note: [] Corresponding author. E-mail: madhumala_ghosh@rediffmail.com

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

DOI: 10.3233/IFS-2009-0414

Journal: Journal of Intelligent & Fuzzy Systems, vol. 20, no. 1-2, pp. 45-60, 2009