文章基本信息

标题：Dynamics of a predator-prey model with impulsive biological control and unilaterally impulsive diffusion
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作者：Jianjun Jiao ; Shaohong Cai ; Limei Li 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：150
DOI：10.1186/s13662-016-0851-1
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we establish a predator-prey model with impulsive biological control and unilaterally impulsive diffusion. This predator-prey model for two regions, which are connected by diffusion of predator population, portrays the evolution of the population. We study the model for biological pest control in which a pest population is controlled by a program of periodic releases of a fixed yield of predators that prey on the pest population. We prove that there exists a globally asymptotically stable prey-extinction boundary periodic solution. The condition for permanence is also obtained. Simulations are also employed to verify our results. We conclude that the impulsive diffusion and releasing predator provide reliable tactic basis for pest management.
关键词：predator-prey model ; unilaterally impulsive diffusion ; impulsive biological control ; extinction ; permanence