Fitting of simple models for field disease progress data for the take‐all fungus

Fitting of simple models for field disease progress data for the take‐all fungus
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拟合全能真菌田间病害进展数据的简单模型

DOI:
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发表时间:
1989
期刊:
影响因子:
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通讯作者:
C. Gilligan
C. Gilligan
中科院分区:
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文献类型:
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作者:
P. R. Brassett;C. Gilligan

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在描述和解释土传病原体疾病进展曲线时,考虑了一些非线性模型的特性。这些曲线包括考虑和不考虑东道国人口增长的logistic函数,以及考虑和不考虑代数解的“定制”模型。使用定制模型将流行病分为原发感染和继发感染,并考虑到宿主种群的增长和初始接种量的衰减。并与一个简单的多项式模型进行了比较。所有模型都拟合了两条疾病进展曲线,这两条曲线来自于一个广泛的数据集,这些数据集是由全蚀性真菌(Gaeumannomyces graminis var. tritici)侵染冬小麦的数据集。结果讨论了原发和继发感染、接种物的衰减和宿主种群的生长对流行病发展的作用
The properties of a number of non-linear models are considered in relation to the description and interpretation of curves for disease progress of soil-borne pathogens. The curves include the logistic function, with and without allowance for growth of the host population, as well as ‘custom-built’ models with and without algebraic solution. The custom-built models are used to separate the epidemic into primary and secondary infection and allowance is made for growth of the host population and for decay of initial inoculum. The models are compared with a simple polynomial model. All models are fitted to two disease progress curves derived from an extensive data set for infection and disease of winter wheat by the take-all fungus, Gaeumannomyces graminis var. tritici. The results are discussed in relation to the role of primary and secondary infection, decay of inoculum and growth of the host population on epidemic development