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Time Delayed Stage-Structured Predator-Prey Model with Birth Pulse and Pest Control Tactics
Joint Authors
Li, Yongfeng
Yan, Mei
Xiang, Zhongyi
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-07
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Normally, chemical pesticides kill not only pests but also their natural enemies.
In order to better control the pests, two-time delayed stage-structured predator-prey models with birth pulse and pest control tactics are proposed and analyzed by using impulsive differential equations in present work.
The stability threshold conditions for the mature prey-eradication periodic solutions of two models are derived, respectively.
The effects of key parameters including killing efficiency rate, pulse period, the maximum birth effort per unit of time of natural enemy, and maturation time of prey on the threshold values are discussed in more detail.
By comparing the two threshold values of mature prey-extinction, we provide the fact that the second control tactic is more effective than the first control method.
American Psychological Association (APA)
Yan, Mei& Li, Yongfeng& Xiang, Zhongyi. 2014. Time Delayed Stage-Structured Predator-Prey Model with Birth Pulse and Pest Control Tactics. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1034110
Modern Language Association (MLA)
Yan, Mei…[et al.]. Time Delayed Stage-Structured Predator-Prey Model with Birth Pulse and Pest Control Tactics. Abstract and Applied Analysis No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-1034110
American Medical Association (AMA)
Yan, Mei& Li, Yongfeng& Xiang, Zhongyi. Time Delayed Stage-Structured Predator-Prey Model with Birth Pulse and Pest Control Tactics. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1034110
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034110