RETRACTED: An impulsive predator-prey model with disease in the prey for integrated pest management(Retracted article.See vol.47,pg.455, 2017)

被引:21
作者
Shi, Ruiqing [1 ,2 ]
Chen, Lansun [1 ]
机构
[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Liaoning, Peoples R China
[2] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China
基金
中国国家自然科学基金;
关键词
Predator-prey model; Impulsive; Permanent; Susceptible pest-eradication periodic solution; PEST-MANAGEMENT; DYNAMICS;
D O I
10.1016/j.cnsns.2009.04.001
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, an impulsive predator-prey model with disease in the prey is investigated for the purpose of integrated pest management. in the first part of the main results, we get the sufficient condition for the global stability of the susceptible pest-eradication periodic solution. This means if the release amount of infective prey and predator satisfy the condition, then the pest will be doomed. In the second part of the main results, we also get the sufficient condition for the permanence of the system. This means if the release amount of infective prey and predator satisfy the condition, then the prey and the predator will coexist. In the last section, we interpret our mathematical results. We also point Out some possible future work. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:421 / 429
页数:9
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