Bifurcation and Feedback Control of an Exploited Prey-Predator System. (20th April 2014)

• Record Type: Journal Article
• Authors: Das, Uttam
• Other Names: Lee Min W. Academic Editor.
• Is Part Of: Journal of chaos. Volume 2014(2014)
• Publication Date: 2014-04-20
• Subjects: Quantum chaos -- Periodicals; Chaotic behavior in systems -- Periodicals; Chaotic behavior in systems; Quantum chaos; Electronic journals; Periodicals; 515.39
• DOI: 10.1155/2014/418389
• Languages: English
• ISSNs: 2356-7228

Abstract

Abstract : This paper makes an attempt to highlight a differential algebraic model in order to investigate the dynamical behavior of a prey-predator system due to the variation of economic interest of harvesting. In this regard, it is observed that the model exhibits a singularity induced bifurcation when economic profit is zero. For the purpose of stabilizing the proposed model at the positive equilibrium, a state feedback controller is therefore designed. Finally, some numerical simulations are carried out to show the consistency with theoretical analysis and to illustrate the effectiveness of the proposed controller.