Mathematical Functions to Describe Disease Progress Curves of Double Sigmoid Pattern

作者: B Hau , L Amorim , A Bergamin Filho

DOI: 10.1094/PHYTO-83-928

关键词: Applied mathematicsSigmoid functionFunction (mathematics)ResidualEcologyGompertz functionNonlinear regressionBiologyGeneralised logistic functionAsymptoteSugarcane smutAgronomy and Crop SciencePlant science

摘要: Ten mathematical functions used to describe disease progress curves of double sigmoid pattern were tested using data from epidemics sugarcane smut. Four the represent sum two simple equations (logistic + logistic, Gompertz Gompertz, monomolecular and Gompertz); other six are generalizations models (logistic, monomolecular, Gompertz) with four five parameters. For all functions, high coefficients determination (R>0.95) obtained in nonlinear regression analyses To choose most appropriate function, determination, residual sums squares for error, biological meaning each parameter, accuracy estimating upper asymptote utilized [...]

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