TMV与CMV不同组合侵染番茄后TMV致病性与浓度关系的数学模型与统计分析

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由烟草花叶病毒(TMV)与黄瓜花叶病毒(CMV)三种不同组合接种番茄幼株(北京早红)后,再由接种侵染的番茄株体中分别捉取的 TMV 以不同的浓度对心叶烟侵染所得半叶平均枯斑数据,应用植物病毒侵染与浓度关系的理论模型 y=B_1ln(1+B_2V),采用 Gauss-Newton 法与 Marguardt 洪两种方法,分别实现了模型的参数计算,得到了三种组合侵染番茄株体后提取的 TMV 的致病性与浓度关系的数学模型与最优曲线拟合,并对两种计算方法的效果进行了比较。本文还对由不同组合侵染番茄株体后提取的 TMV 的不同浓度对心叶烟侵染所得半叶平均枯斑数据进行了统计分析,证明 TMV 与 CMV 的不同处理组合间的 TMV 侵染的半叶平均枯斑数差异是极显著的,TMV 各接种浓度间侵染的差异性也是极显著的,而这两者的交互作用侵染的差异性则不如前两种情形显著,这些结论与实验结果完全一致。 Inoculation of TMV and Cucumber Mosaic Virus (CMV) in three different combinations of young tomato plants (Beijing early red), and then inoculated by inoculated tomato plants were collected in different concentrations of TMV The mean half-leaf dry spot data obtained from the leaf discs infected by heart-leaf tobacco were used to establish the theoretical model y = B_1ln (1 + B_2V) of the relationship between plant virus infection and the concentration. Gauss-Newton method and Marguardt flood method were used to achieve the model The mathematical model and the optimal curve fitting of the relationship between the pathogenicity and the concentration of TMV extracted by three kinds of combinations were obtained by parameter calculation. The effects of the two methods were compared. In this paper, we also carried out statistical analysis of the median half-leaf blastomere data obtained from different concentrations of TMV extracted from different combinations of infected tomato plants, and proved that TMV infection between TMV and CMV in different treatment combinations The average half-leaf mean spot number difference is extremely significant, and the difference in infection between TMV inoculation concentrations is also very significant, but the difference of interaction infection between the two is not as significant as the former two cases, these conclusions The experimental results are exactly the same.
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