| 沙漠—绿洲区域中药资源的数学模型 |
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| 引用本文： | 胡颖,谭启建.沙漠—绿洲区域中药资源的数学模型[J].成都大学学报(自然科学版),2013,32(2):113-115,120. |
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| 作者姓名： | 胡颖 谭启建 |
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| 作者单位： | 成都大学医护学院,四川成都,610106;成都师范学院数学系,四川成都,611130 |
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| 基金项目： | 四川省教育厅自然科学基金，成都师范学院重点科研课题 |
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| 摘 要： | 探索了沙漠一绿洲区域中药资源的数学模型．利用Fick定律、守恒原理和生物数学方法，得到了关于一般中药种群的单种群模型和关于寄生中药种群的n种群模型，它们是系数允许间断的反应扩散方程模型．同时，在一定条件下，还得到了模型解的存在唯一性，而只有沙漠或者只有绿洲区域的对应中药资源模型是本模型的特殊情形．
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| 关 键 词： | 中药资源 数学模型 沙漠 绿洲 寄生 |
Mathematical Models of Chinese Medicinal Resources in Desert and Oasis Area |
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| HU Ying
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TAN Qijian.Mathematical Models of Chinese Medicinal Resources in Desert and Oasis Area[J].Journal of Chengdu University (Natural Science),2013,32(2):113-115,120. |
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| Authors: | HU Ying TAN Qijian |
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| Institution: | 1.School of Medicine and Nursing,Chengdu University,Chengdu 610106,China;2.Department of Mathematics,Chengdu Normal University,Chengdu 611130,China) |
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| Abstract: | By using Fick＇ s law, the principle of conservation and the biomathematical methods, we get the 1-species model for the general single chinese medicinal species and n-species model for the parasitic chi- nese medicinal species. They are the models for reaction-diffusion equations, whose coefficients are allowed to be discontinuous. Meanwhile, the existence and uniqueness of solutions is obtained under certain condi- tions. The corresponding models in the areas only containing desert or oasis are the special cases. |
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| Keywords: | chinese medicinal resource mathematical model desert oasis parasite |
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