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本文将生态学理论中捕食者——猎物的基本关系,即捕食者对猎物密度的功能反应和捕食者对自身密度的反应推广到植食者——植物系统中。把棉铃虫(Heliothio armigera H(?)bner)与番茄果实的关系作为捕食者——猎物关系的的一种特殊形式,用数学模型来评价棉铃虫的蛀果行为和确定棉铃虫的潜在蛀果数。探讨了番茄田棉铃虫蛀果与番茄果实密度、空间复杂程度之间的关系以及棉铃虫幼虫个体间的相互干扰对蛀果数的影响。初步证明:番茄中上部嫩果密度和每单位番茄植株上幼虫密度是影响棉铃虫蛀果行为的两个主要因素,提出了棉铃虫幼虫蛀果行为模式:在低密度下(0.5头/架)其模式为:Na=0.284879NP/(H0.036196N)在高密度时,蛀果行为模式为:Na=sum from r=1 to n(0.32046NPr~(1-0.49696)N’·Pr’)/(1+0.036196N)
This paper extends the basic relationship between predator-prey in ecological theory, that is, the functional response of predators to the density of prey and the reaction of predators to their density to the plant-donor-plant system. Using the relationship between Heliothora armigera Hüberner and tomato fruit as a special form of the predator-prey relationship, the mathematical model was used to evaluate the bollworm behavior and to determine the potential effects of bollworm number. The relationship between cotton bollworm moth and tomato fruit density and spatial complexity in tomato field and the mutual interference between individual cotton bollworm larvae were studied. The results showed that the density of upper tender fruit in tomato and the density of larvae per tomato plant were the two main factors which affected the bollworm’s behavior. The model is as follows: Na = 0.284879NP / (H0.036196N) At high density, the fruit boring behavior pattern is: Na = sum from r = 1 to n (0.32046NPr ~ (1-0.49696) N ’· Pr’) / (1 + 0.036196N)