Time delayed stage-structured predator-prey model with birth pulse and pest control tactics
type: Item
instance of: scholarly article
title: Time delayed stage-structured predator-prey model with birth pulse and pest control tactics
zbMATH Open document ID: 1406.92536
DOI: 10.1155/2014/935923
author: Mei Yan
author: Yongfeng Li
author: Zhongyi Xiang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 34A37
zbMATH DE Number: 7023347
Wikidata QID: Q59042958
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/935923
OpenAlex ID: W1975305708
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description: scientific article; zbMATH DE number 7023347