An SI integrated pest management model with pesticide resistance to susceptible pests  

作　　者：Jinyang Li Qingdao Huang Bing Liu 

机构地区：[1]School of Mathematics,Jilin University Changchun 130012,P.R.China [2]School of Mathematics and Information Science Anshan Normal University Anshan 114007,P.R.China

出　　处：《International Journal of Biomathematics》2020年第5期125-147,共23页生物数学学报（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China(11371030);the Natural Science Foundation of Liaoning Province(20170540001)。

摘　　要：In this paper,epidemnic diseases among pests are assumed to occur,so pests are divided into susceptible pests and infected pests,and only susceptible pests are harmful to crops.Considering spraying pesticides and releasing of natural enermies and infected pests to control pests,as well as the long-term application of the same pesticide to induce resistance,an integrated pest management with pesticide resistance is established.The pollution emission model is introduced to model the action process of pesticides,which well reflects its residual and delay effects.By using comparison theorem of impulsive differential equation and analysis method,the threshold condition for eradication of susceptible pests is obtained.Then we analyze the frequency of spraying pesticide on the success of pests control.It shows that it is not that the more frequently pesticides are applied,the better the result of the susceptible pests control is.From the sensitivity analysis,the key factors on the threshold are obtained.Finally,the strategies to control susceptible pests are given,including switching pesticides and releasing infected pests and natural enemies elastically.

关 键 词：Pest management model eradication of susceptible pests global attractive-ness pest resistance pest control strategies 

分 类 号：O17[理学—数学]