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中国工业与应用数学学会会刊
主管：中华人民共和国教育部
主办：西安交通大学
ISSN 1005-3085  CN 61-1269/O1
工程数学学报

工程数学学报 ›› 2023, Vol. 40 ›› Issue (3): 398-412.doi: 10.3969/j.issn.1005-3085.2023.03.005

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世代内多次瞬时化学控制对害虫治理的影响研究

李艳云,   梁菊花   

  1. 陕西师范大学数学与统计学院，西安 710119
  • 收稿日期:2020-11-03 接受日期:2021-05-16 出版日期:2023-06-15 发布日期:2023-08-15
  • 基金资助:
    国家自然科学基金 (11871319).

Effect of Multiple Instantaneous Chemical Controls within Each Generation on Pest Management

LI Yanyun,  LIANG Juhua   

  1. School of Mathematics and Statistics, Shaanxi Normal University, Xi'an 710119
  • Received:2020-11-03 Accepted:2021-05-16 Online:2023-06-15 Published:2023-08-15
  • Supported by:
    The National Natural Science Foundation of China (11871319).

PDF (PC)

97

摘要：

建立了一类在世代内多次喷洒杀虫剂的离散害虫–天敌种群模型。首先，利用Jury判据研究了边界平衡点的存在性和稳定性以及非平凡平衡点的存在性，接着探讨了杀虫剂的喷洒时间和瞬时杀死率对害虫控制的影响，并给出了害虫控制策略悖论出现的条件。然后，分析了连续不正确喷洒杀虫剂对害虫爆发的作用，结果表明不正确的在害虫每世代内多次喷洒杀虫剂会引发更严重的害虫爆发，最后通过数值模拟验证了本文所得结论。

关键词: 离散害虫–天敌种群模型, 害虫控制, 悖论, 害虫综合控制策略

Abstract:

A discrete pest-natural enemy population model is built with multiple insecticide sprays within a generation. First, the Jury criterion is used to investigate the existence and stability of boundary equilibrium points and the existence of nontrivial equilibrium points. Then, this paper explores the effects of spraying time and instantaneous kill rate on pest control, and gives the conditions for the paradox of pest control strategy. Then it is examined about the role of continuous incorrect spraying of insecticides on pest outbreaks. The results show that incorrectly spraying insecticides multiple times within each generation of the pest can trigger more severe pest outbreaks. Finally, numerical simulations are conducted to verify the findings are conducted.

Key words: discrete pest-natural enemy population model, pest control, paradox, integrated pest management

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