Dynamics of a predator-prey system with sublethal effects of pesticides on pests and natural enemies  

作　　者：Xiangjun Dai Jianjun Jiao Qi Quan Airen Zhou 

机构地区：[1]School of Mathematical Sciences Guizhou Normal University,Guiyang 550025,P.R.China [2]School of Mathematics and Statistics Guizhou University of Finance and Economics Guiyang 550025,P.R.China [3]School of Date Science,Tongren University Tongren 554300,P.R.China

出　　处：《International Journal of Biomathematics》2024年第1期151-175,共25页生物数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.12261018);Youth Science and Technology Talent Growth Project of Guizhou Provincial Department of Education(KY[2018]341,KY[2018]157).

摘　　要：Considering the influence of sublethal concentration of pesticides on pests and natural enemies,we propose a pest-management model with impulsive effect on chemical control and biological control strategies periodic spraying pesticide and releasing predatory natural enemies.By using the Floquet theory and the comparison theorem of impulsive differential equations,a sufficient condition for the global asymptotic stability of the pest-eradication periodic solution is obtained.The persistence of the system is further studied,and a sufficient condition for the persistence of the system is obtained.Finally,some numerical simulations are shown to verify our theoretical works.Our works indicate that the sublethal effects of insecticides and the release of predatory natural enemies play significant roles in pest control in agricultural production.

关 键 词：Predator-prey system sublethal effect global asymptotic stability PERMANENCE 

分 类 号：O17[理学—数学]