Bart A G, Minár J
Folia Parasitol (Praha). 1984;31(3):277-87.
While studying the consistent patterns in the host-parasite relationships on the model of warble flies infesting cattle, a firm internal regulatory system governing the number of parasites on the host and reflected in the level of populations, has been demonstrated. This regulatory system is governed by mathematical-statistical laws and therefore can be modelled and its different features expressed mathematically. The distribution of parasites in the host population agrees with the negative binomial distribution. Main mathematical formulations of the regulatory system (parameters) and defensive responses of the host to the invasion of parasites are analyzed. From the above consistent patterns important conclusions are drawn for the control of cattle hypodermatosis in practice. The mathematical model elucidates two states of control--the first stage conforms to the natural regulatory system leading to a marked decrease of the degree of infestation, and the second stage is aiming at the eradication of the disease. It may be deduced from the above said that the control of hypodermatosis is expedient primarily in juvenile cattle, as shown by the results of the control carried out in Czechoslovakia.
在以寄生于牛的皮蝇为模型研究宿主 - 寄生虫关系的一致模式时，已证明存在一个稳固的内部调节系统，该系统控制着宿主身上寄生虫的数量，并反映在种群水平上。这个调节系统受数理统计规律支配，因此可以进行建模，其不同特征可用数学方式表达。寄生虫在宿主种群中的分布符合负二项分布。分析了调节系统的主要数学公式（参数）以及宿主对寄生虫入侵的防御反应。从上述一致模式中得出了在实际中控制牛皮蝇蛆病的重要结论。数学模型阐明了控制的两个阶段——第一阶段符合自然调节系统，导致感染程度显著降低，第二阶段旨在根除疾病。从上述内容可以推断，正如捷克斯洛伐克所进行的控制结果所示，皮蝇蛆病的控制主要在幼年牛中进行最为适宜。
