文章基本信息

标题：An Impulsively Controlled Three-Species Prey-Predator Model with Stage Structure and Birth Pulse for Predator
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作者：Yanyan Hu ; Mei Yan ; Zhongyi Xiang 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2015
卷号：2015
DOI：10.1155/2015/380492
出版社：Hindawi Publishing Corporation
摘要：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.