[1]刘 丽,曲若文,康宝林,等.具有抗药性发展的非自治害虫治理模型研究[J].南京师范大学学报(自然科学版),2018,41(01):30.[doi:10.3969/j.issn.1001-4616.2018.01.007]
　Liu Li,Qu Ruowen,Kang Baolin,et al.Study on a Non-autonomous Pest Management Modelwith Resistance Development[J].Journal of Nanjing Normal University(Natural Science Edition),2018,41(01):30.[doi:10.3969/j.issn.1001-4616.2018.01.007]
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具有抗药性发展的非自治害虫治理模型研究()
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《南京师范大学学报》（自然科学版）[ISSN:1001-4616/CN:32-1239/N]

卷:
第41卷
期数:
2018年01期
页码:
30
栏目:
·数学·
出版日期:
2018-03-31

文章信息/Info

Title:
Study on a Non-autonomous Pest Management Modelwith Resistance Development
文章编号:
1001-4616(2018)01-0030-05
作者:
刘 丽1; 2; 曲若文3; 康宝林1; 刘 兵1
(1.鞍山师范学院数学与信息科学学院,辽宁 鞍山 114007)(2.辽宁师范大学数学学院,辽宁 大连 116029)(3.鞍山市第一中学,辽宁 鞍山 114000)
Author(s):
Liu Li1; 2; Qu Ruowen3; Kang Baolin1; Liu Bing1
(1.College of Mathematics and Information Science,Anshan Normal University,Anshan 114007,China)(2.Department of Mathematics,Liaoning Normal University,Dalian 116029,China)(3.Anshan No.1 Middle School,Anshan 114000,China)
关键词:
抗药性; 杀虫剂作用函数; 非自治害虫治理模型; 害虫灭绝
Keywords:
resistance to pesticides; pesticide function; non-autonomous pest management model; pest extinction
分类号:
O175.1
DOI:
10.3969/j.issn.1001-4616.2018.01.007
文献标志码:
A
摘要:
考虑到杀虫剂对害虫种群的作用具有一定的残留作用,以及同一种杀虫剂长期且单一的使用会使害虫对杀虫剂产生抗药性,同时考虑到自然界害虫种群的发展变化受时间影响以及人类对害虫的治理都是呈周期性变化,本文建立了在杀虫剂作用函数影响下的具有抗药性发展的非自治单种群害虫治理模型,给出了害虫灭绝的临界条件,并依据临界条件给出了杀虫剂的切换策略.
Abstract:
Considering the residual effect of pesticides on pest populations,the pest resistance to pesticides which developed by the long-term and single use of the same pesticide,the effects of the development of pest populations in the nature affected by the time and a periodic change about the human controlling for the pest,a non-autonomous single-species pest management model with resistance development under the influence of pesticide function is established. Further,the critical condition of pest extinction is given. According to the critical condition,the switching strategy of pesticides is obtained.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2017-10-15.
基金项目:国家自然科学基金(11371030)、辽宁省自然科学基金(20170540001).
通讯联系人:刘兵,博士,教授,研究方向:生物数学. E-mail:liubing529@126.com
更新日期/Last Update: 2018-03-31