Modelling the Effects of Pest Control with Development of Pesticide Resistance

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

作者机构：College of Mathematics and Information ScienceAnshan Normal UniversityAnshan 114007China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2021年第37卷第1期

页      面：109-125页

核心收录：

学科分类：07[理学] 09[农学] 070104[理学-应用数学] 0904[农学-植物保护] 090402[农学-农业昆虫与害虫防治] 0701[理学-数学] 

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 

主　　题：pest control model resistance pesticide function susceptible pest eradication periodic solution 

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 *** 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 *** 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 *** with numerical simulations,the effects of spraying frequency of pesticides on critical threshold conditions for eradicating susceptible pests are *** results confirm that it is not that the more frequently the pesticides are sprayed,the better the result of the pest control *** control strategies for eradicating susceptible pests are proposed:switching pesticides and releasing natural enemies ***,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 *** 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.