考虑灯光诱杀橄榄树虫害模型的建立及性态分析  

Considering the establishment and analysis of light trapping and killing olive tree pest model

作　　者：王行素 李桂花[1] WANG Xingsu;LI Guihua(School of Mathematics,North University of China,Taiyuan,Shanxi 030051,China)

机构地区：[1]中北大学数学学院,山西太原030051

出　　处：《福州大学学报（自然科学版）》2023年第6期742-748,共7页Journal of Fuzhou University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11801340);山西省自然科学基金资助项目(201901D111179)。

摘　　要：研究人工干预的灯光诱杀对潮汕地区橄榄树虫害的影响,建立考虑灯光诱杀橄榄树虫害的捕食者-食饵模型,并分析模型的动力学性态,给出了两个边界平衡点和正平衡点的存在及稳定条件.通过博弈论分析利用灯光诱杀和天敌捕杀害虫的结果,发现同时利用灯光诱杀和天敌捕杀害虫效果最佳.通过数值模拟发现在橄榄树虫害的防治中不仅要利用天敌,还要加入人工干预的灯光诱杀,可以避免害虫数量突然爆发,有效控制害虫数量,同时有利于保护橄榄树上生物的多样性.To study the effect of artificial light trapping on olive tree pests in Chaoshan area,we a predator⁃prey model was established for killing olive tree pests by light trapping and the dynamics of the model was analyzed.The existence and stability conditions of two boundary equilibria and positive equilibrium are given.Using game theory to analyze the results of trapping and killing insects by using light and natural enemies,it is found that the best effect of using light to trap and kill insects and natu⁃ral enemies at the same time is found.Through numerical simulation,it is found that not only natural enemies but also artificial lights should be used in the control of olive tree pests.This prevents pest outbreaks,effectively controls pest populations,and helps the diversity of life on olive trees.

关 键 词：捕食者 食饵 平衡点 稳定性 博弈论 

分 类 号：O175.1[理学—数学]