个人信息Personal Information
副教授
硕士生导师
性别:男
毕业院校:吉林大学
学位:博士
所在单位:数学科学学院
电子邮箱:lizx@dlut.edu.cn
A delayed ratio-dependent predator-prey system with stage-structured and impulsive stocking on predator
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论文类型:期刊论文
发表时间:2009-01-01
发表刊物:International Journal of Pure and Applied Mathematics
收录刊物:Scopus
卷号:55
期号:4
页面范围:513-526
ISSN号:13118080
摘要:In this paper, a delayed ratio-dependent Holling-III predator-prey system with stage-structured and impulsive stocking on predator and continuous harvesting on prey is considered. We obtain sufficient conditions of the global attractivity of prey-extinction periodic solution and the permanence of the system. These results show that the behavior of impulsive stocking on predator plays an important role for the permanence of the system. We also prove that all solutions of the system are uniformly ultimately bounded. Our results show that the biological resource management is effective and reliable. ? 2009 Academie Publications.