| 马铃薯晚疫病传播的数学建模与仿真模拟 |
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| 引用本文： | 杨牧野,李颖,于倩,黄海洋,张辉.马铃薯晚疫病传播的数学建模与仿真模拟[J].北京师范大学学报(自然科学版),2011(5):441-447. |
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| 作者姓名： | 杨牧野 李颖 于倩 黄海洋 张辉 |
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| 作者单位： | 北京师范大学数学科学学院数学与复杂系统教育部重点实验室;中国农业科学院蔬菜花卉研究所; |
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| 基金项目： | 国家自然科学基金资助项目(10971142) |
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| 摘 要： | 运用数学建模和仿真模拟方法研究不同品种马铃薯混种方式对晚疫病的防治效果.首先,针对马铃薯晚疫病病原菌在植物上繁殖和在空间中传播的特点建立偏微分方程的传染病模型.模型的数值结果反映了晚疫病形成与传染的空间分布和时间变化规律,与田间一些观测现象相吻合.然后通过灵敏度分析,探讨了叶片大小、孢子囊感染效率和病斑半径最大增长速率等诸多参数对疫情发展的影响.最后,构造了具有不同参数值的四类马铃薯品种的各种混种方式,通过计算仿真模拟,比较了晚疫病在的不同混种方式下的传染过程.实验结果表明随机混种方式具有较好的抗病效果.
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| 关 键 词： | 马铃薯晚疫病 不同品种混种方式 偏微分方程模型 时空动态 数值仿真模拟 |
MODELING AND NUMERICAL SIMULATING OF POTATO LATE BLIGHT EPIDEMICS |
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| YANG Muye LI Ying YU Qian HUANG Haiyang ZHANG HuiSchool of Mathmatical Sciences,Beijing Normal University,Beijing,China,Institute of Vegetables , Flowers,Chinese Academy of Agriculture Science,China.MODELING AND NUMERICAL SIMULATING OF POTATO LATE BLIGHT EPIDEMICS[J].Journal of Beijing Normal University(Natural Science),2011(5):441-447. |
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| Authors: | YANG Muye LI Ying YU Qian HUANG Haiyang ZHANG HuiSchool of Mathmatical Sciences Beijing Normal University Beijing China Institute of Vegetables Flowers Chinese Academy of Agriculture Science China |
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| Institution: | YANG Muye1) LI Ying2) YU Qian1) HUANG Haiyang1) ZHANG Hui1)(1)School of Mathmatical Sciences,Beijing Normal University,100875,Beijing,China,2)Institute of Vegetables and Flowers,Chinese Academy of Agriculture Science,100081,China) |
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| Abstract: | Mixed planting for varied potatoes were examined for control of potato late blight epidemics with mathematical modeling and numerical simulation.The epidemic model of partial differential equations was constructed based on traits of P.infestans,which showed production on the potato plant but spreading by air.Numerical models showed spatial distribution and temporal variation of the epidemic,reflecting phenomena observed in the field.Impact of certain parameters governing epidemic development was examined by... |
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| Keywords: | potato late blight mixed planting PDE model Space-time Dynamic numerical simulation |
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