文章基本信息

标题：Analysis of a predator-prey model with impulsive diffusion and releasing on predator population
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作者：Airen Zhou ; Pairote Sattayatham ; Jianjun Jiao 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2016
卷号：2016
期号：1
页码：111
DOI：10.1186/s13662-016-0834-2
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we establish a predator-prey model with impulsive diffusion and releasing on predator population. This predator-prey model for two regions, which are connected by diffusion of predator population, portrays the evolvement of population. We prove that all solutions of the investigated system are uniformly ultimately bounded. We also prove that there exists globally asymptotically stable prey-extinction boundary periodic solution. The condition for permanence is obtained. Simulations are also employed to verify our results. It is discovered that the increasing diffusive rate of predator population will count against the pest management. We conclude that the impulsive diffusion and releasing predator provide reliable tactic basis for pest management.
关键词：predator-prey model ; impulsive diffusion ; impulsive releasing ; extinction ; permanence