恐惧因素对食蚜蝇-蚜虫种群稳定性的影响  

Effects of Fear Factors on the Population Stability of the Scorpion Syrphids-aphid Beetle

作　　者：占萌颖 汪艳梅 万易 尧钰涵 万阿英[2] 郑立飞[1] ZHAN Meng-ying;WANG Yan-mei;WAN Yi;YAO Yu-han;Wan A-ying;ZHENG Li-fei(Northwest AF University,College of Science,Yangling 712100,China;Hulunbeier College of Mathematics,Hulunbeier 021008,China)

机构地区：[1]西北农林科技大学理学院,陕西杨凌712100 [2]呼伦贝尔学院数学系,内蒙古呼伦贝尔021008

出　　处：《数学的实践与认识》2021年第13期275-281,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(12061033);内蒙古自然科学基金(2018MS01023);西北农林科技大学校级重点教学改革项目(JY1902013);教育部产学协同合作育人项目。

摘　　要：建立具有恐惧因素年龄结构的食蚜蝇-蚜虫种群系统,分析了系统解的正性,有界性和平衡点的局部渐近稳定性,给出了两种群达到稳定时食蚜蝇和蚜虫的数量比.研究结果发现恐惧因素不影响系统正平衡点的稳定性,但影响捕食者的数量.最后进行了数值模拟,直观给出了恐惧因素对捕食者-食饵系统的影响.In this paper,the population system of the scorpion Syrphids-aphid population with the age structure of fear factors was established.The positive solution of the system solution,the boundedness and the local asymptotic stability of the equilibrium point were analyzed,and the two groups were given stable flies and aphids.The number of cases.The results show that the fear factor does not affect the stability of the system’s positive equilibrium point,but affects the number of predators.Finally,numerical simulation is carried out to visually show the influence of fear factors on the predator-prey system.

关 键 词：恐惧因素 稳定性 HollingⅡ型功能反应 

分 类 号：O175[理学—数学] S476[理学—基础数学]