A Pest Management Model with Stage Structure and Impulsive State Feedback Control. (3rd August 2015)

• Record Type: Journal Article
• Authors: Pang, Guoping; Liang, Zhiqing; Xu, Weijian; Li, Lijie; Fu, Gang
• Other Names: Méndez Vicenç Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2015(2015)
• Publication Date: 2015-08-03
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2015/617379
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : A pest management model with stage structure and impulsive state feedback control is investigated. We get the sufficient condition for the existence of the order-1 periodic solution by differential equation geometry theory and successor function. Further, we obtain a new judgement method for the stability of the order-1 periodic solution of the semicontinuous systems by referencing the stability analysis for limit cycles of continuous systems, which is different from the previous method of analog of Poincarè criterion. Finally, we analyze numerically the theoretical results obtained.