具有抗药性发展的非自治害虫治理模型研究  

Study on a Non-autonomous Pest Management Model with Resistance Development

作　　者：刘丽 曲若文[3] 康宝林 刘兵 Liu Li;Qu Ruowen;Kang Baolin;Liu Bing(College of Mathematics and Information Science,Anshan Normal University,Anshan 114007,China;Department of Mathematics,Liaoning Normal University,Dalian 116029,China;Anshan No.1 Middle School,Anshan 114000,China)

机构地区：[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

出　　处：《南京师大学报（自然科学版）》2018年第1期30-34,共5页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11371030);辽宁省自然科学基金(20170540001)

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.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.

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 

分 类 号：O175.1[理学—数学]