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个人信息Personal Information
副教授
硕士生导师
性别：男
毕业院校：北京师范大学
学位：博士
所在单位：控制科学与工程学院
学科：控制理论与控制工程. 应用数学
办公地点：海山楼A1127
联系方式：17741113575
电子邮箱：sunkb@dlut.edu.cn
Comment on "Existence and stability of periodic solution of a Lotka-Volterra predator-prey model with state dependent impulsive effects" [J. Comput. Appl. Math. 224 (2009) 544-555]
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论文类型：期刊论文
发表时间：2010-09-15
发表刊物：JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
收录刊物：SCIE、EI、Scopus
卷号：234
期号：10
页面范围：2916-2923
ISSN号：0377-0427
关键字：Impulsive differential equations; State-dependent; Lotka-Volterra predator-prey system; Periodic solution
摘要：In this paper, according to integrated pest management principles, a class of Lotka-Volterra predator-prey model with state dependent impulsive effects is presented. In this model, the control strategies by releasing natural enemies and spraying pesticide at different thresholds are considered. The sufficient conditions for the existence and stability of the positive order-1 periodic solution are given by the Poincare map and the properties of the LambertW function. (C) 2010 Elsevier B.V. All rights reserved.