Modelling the Effects of Pest Control with Development of Pesticide Resistance  

作　　者：Bing LIU Bao-lin KANG Feng-mei TAO Gang HU 

机构地区：[1]College of Mathematics and Information Science,Anshan Normal University,Anshan 114007,China

出　　处：《Acta Mathematicae Applicatae Sinica》2021年第1期109-125,共17页应用数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.11371030);the Natural Science Foundation of Liaoning Province(No.20170540001);Liaoning Bai Qian Wan Talents Program。

摘　　要：In this paper,we assume that the pest population is divided into susceptible pests and infected pests,and only susceptible pests do harm to crops.Considering the two methods of spraying pesticides and releasing infected pests and natural enemies to control susceptible pests(the former is applied more frequently),and assuming that only susceptible pests develop resistance to pesticides,a pest control model with resistance development is established.By using the basic theory of impulsive differential systems and analytical methods,the sufficient condition for the global attractiveness of the susceptible pest eradication periodic solution is given.Combined with numerical simulations,the effects of spraying frequency of pesticides on critical threshold conditions for eradicating susceptible pests are discussed.The results confirm that it is not that the more frequently the pesticides are sprayed,the better the result of the pest control is.Two control strategies for eradicating susceptible pests are proposed:switching pesticides and releasing natural enemies elastically.Finally,the parameters in the critical threshold are analyzed from the following two aspects:(1)The key factors affecting pest control are determined by parameter sensitivity analyses.The results indicate that the correlation of the critical threshold concerning the killing efficiency rate and the decay rate of pesticides to susceptible pests varies due to the resistance development of susceptible pests.(2)Three-dimensional graphs and contours of susceptible pest eradication critical threshold with two parameters are simulated,and the effects of the main parameters on the critical threshold are analyzed.

关 键 词：pest control model resistance pesticide function susceptible pest eradication periodic solution 

分 类 号：S433[农业科学—农业昆虫与害虫防治] O175[农业科学—植物保护]