Global Behaviors and Optimal Harvesting of a Class of Impulsive Periodic Logistic Single-Species System with Continuous Periodic Control Strategy. (8th February 2009)

• Record Type: Journal Article
• Authors: Wang, JinRong; Xiang, X.; Wei, W.
• Other Names: Zou Wenming Academic Editor.
• Is Part Of: Boundary value problems. Volume 2008(2008)
• Publication Date: 2009-02-08
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2008/192353
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : Global behaviors and optimal harvesting of a class of impulsive periodic logistic single-species system with continuous periodic control strategy is investigated. Four new sufficient conditions that guarantee the exponential stability of the impulsive evolution operator introduced by us are given. By virtue of exponential stability of the impulsive evolution operator, we present the existence, uniqueness and global asymptotical stability of periodic solutions. Further, the existence result of periodic optimal controls for a Bolza problem is given. At last, an academic example is given for demonstration.