An Impulsively Controlled Three-Species Prey-Predator Model with Stage Structure and Birth Pulse for Predator. (14th July 2015)

• Record Type: Journal Article
• Authors: Hu, Yanyan; Yan, Mei; Xiang, Zhongyi
• Other Names: Cordero Alicia Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2015(2015)
• Publication Date: 2015-07-14
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2015/380492
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : We investigate the dynamic behaviors of a two-prey one-predator system with stage structure and birth pulse for predator. By using the Floquet theory of linear periodic impulsive equation and small amplitude perturbation method, we show that there exists a globally asymptotically stable two-prey eradication periodic solution when the impulsive period is less than some critical value. Further, we study the permanence of the investigated model. Our results provide valuable strategy for biological economics management. Numerical analysis is also inserted to illustrate the results.