一类杀虫剂具有残留和滞后效应的害虫治理模型的研究  

Mathematical study on a pest management model with residual and delayed effects of pesticides

作　　者：赵美华 刘兵 刘海波 胡雪 ZHAO Meihua;LIU Bing;LIU Haibo;HU Xue(Department of Mathematics,Liaoning Normal University,Dalian Liaoning 116029,China;School of Mathematics and Information Science,Anshan Normal University,Anshan Liaoning 114007,China)

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029 [2]鞍山师范学院数学与信息科学学院,辽宁鞍山114007

出　　处：《鞍山师范学院学报》2018年第6期6-11,共6页Journal of Anshan Normal University

基　　金：国家自然科学基金项目(11371030)

摘　　要：考虑到杀虫剂对害虫的作用有一定的残留和滞后效应,且长期单一地使用同一种化学杀虫剂会使害虫产生抗药性.本文建立了一类具有抗性发展的害虫治理模型,给出了害虫灭绝的临界条件,并确定了两种杀虫剂的切换策略.Because of the residual and delayed effects of pesticides on pests,and the resistant to pesticides by long-term single use of the same chemical insecticide,a pest management model with resistance development is established in this paper.The critical condition of pest eradication is obtained,and we give two methods about switching strategies of pesticide.

关 键 词：滞后性 抗药性 杀虫剂作用函数 杀虫剂切换策略 害虫灭绝 

分 类 号：O175.1[理学—数学]