枸杞蚜虫及其优势天敌捕食模型建立及性态分析  

Establishment and behavior analysis of the model considering wolfberry aphids and their dominant predators

作　　者：何清华 李桂花[1] HE Qinghua;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：《石河子大学学报（自然科学版）》2023年第5期655-660,共6页Journal of Shihezi University(Natural Science)

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

摘　　要：枸杞蚜虫是枸杞的主要害虫之一,其发生频繁且为害时间长,是影响枸杞产业发展的主要因素。作为枸杞蚜虫的优势天敌,异色瓢虫和龟纹瓢虫对枸杞蚜虫的发生和为害都有较强的控制作用。该文建立了异色瓢虫、龟纹瓢虫和枸杞蚜虫之间的捕食模型,分析了模型的动力学性态,给出了平衡点的存在与稳定条件。由于异色瓢虫灭绝的平衡点均不稳定,因此异色瓢虫对枸杞蚜虫的发生与为害具有较强的控制作用。通过数值模拟发现适当增加龟纹瓢虫的增长率会减少枸杞蚜虫的数量,并使枸杞蚜虫数量保持在较低水平甚至灭绝。最后,依据模型性态及数值模拟的结果给出枸杞蚜虫生物防治的建议。Wolfberry aphid is one of the main pests of Chinese wolfberry,which occurs frequently and damages for a long time,which is the main factor affecting the development of Chinese wolfberry industry.As the dominant natural enemies of wolfberry aphids,harmo-nia axyridis and propylea japonica play a strong role in controlling the occurrence and damage of wolfberry aphids.In this paper,a pre-dation model among harmonia axyridis,propylea japonica and wolfberry aphids is established,the dynamic behavior of the model is an-alyzed,and the existence and stability conditions of equilibrium point are given.Because the equilibria of the extinction of the harmo-nia axyridis are unstable,the harmonia axyridis have a strong control effect on the occurrence and damage of wolfberry aphids.By nu-merical simulation,we found that properly increasing the growth rate of the propylea japonica will reduce the number of wolfberry a-phids,and keep the number of wolfberry aphids at a low level or even extinct.Finally,some suggestions for biological control of wolf-berry aphids are given according to the behaviors of the model and the results of numerical simulation.

关 键 词：枸杞蚜虫 异色瓢虫 龟纹瓢虫 稳定性 生物防治 

分 类 号：O175.1[理学—数学]