具有抗性发展的瞬时与非瞬时害虫治理模型的研究  

Study of Transient and Non-transient Pest Management Models with Resistance Development

作　　者：齐加齐 金佳妮 刘兵[2] QI Jiaqi;JIN Jiani;LIU Bing(Department of Mathematics,Liaoning Normal University,Dalian Liaoning 116029,China;School of Mathematics,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]鞍山师范学院数学学院,辽宁鞍山114007

出　　处：《鞍山师范学院学报》2023年第4期1-7,共7页Journal of Anshan Normal University

基　　金：国家自然科学基金项目(12171004).

摘　　要：考虑杀虫剂对害虫具有瞬时的杀死率与非瞬时的残留作用,以及多次喷洒同一种杀虫剂害虫会产生抗药性,建立了一类害虫具有抗性发展的瞬时与非瞬时害虫治理模型.通过理论分析得到害虫灭绝的阈值条件,进一步借助数值模拟分析杀虫剂的喷洒次数,以及杀虫剂对敏感害虫的非瞬时杀死率、衰减率对阈值和害虫抗性发展的影响.Considering that pesticides have instantaneous killing rate and non-instantaneous residual effect on pests,and that multiple spraying of the same pesticides causes pests to produce drug resistance,an instantaneous and non-instantaneous pest management model with resistance development is established.Through theoretical analysis,the threshold condition of pest extinction is obtained.Further,the effects of the number of spraying times of pesticides,the non-instantaneous killing rate of pesticides on sensitive pests,the decay rate on the threshold and the development of pest resistance are analyzed by numerical simulations.

关 键 词：杀虫剂瞬时非瞬时作用 抗药性发展 害虫灭绝阈值 

分 类 号：O175.1[理学—数学]