| 利用Taylor展开结合Pade逼近求解Volterra人口模型 |
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| 引用本文： | 孙青言. 利用Taylor展开结合Pade逼近求解Volterra人口模型[J]. 上海应用技术学院学报：自然科学版, 2014, 14(4): 349-352 |
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| 作者姓名： | 孙青言 |
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| 作者单位： | 上海应用技术学院理学院,上海201418 |
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| 基金项目： | 上海市教委科研创新重点项目（14ZZ161） |
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| 摘 要： | Volterra人口模型是在Logistic模型的基础上加入积分表达式,以表示毒素积累对种群的影响.利用Taylor级数结合Pade逼近的方法求解Volterra模型,得到模型的解析近似解,并分析模型参数的影响.
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| 关 键 词： | Volterra人口模型 Taylor级数 Pade逼近 |
Solution of Volterra Population Model by Taylor Expansion Combining Pade Approximation |
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| SUN Qing-yan. Solution of Volterra Population Model by Taylor Expansion Combining Pade Approximation[J]. Journal of Shanghai Institute of Technology: Natural Science, 2014, 14(4): 349-352 |
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| Authors: | SUN Qing-yan |
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| Affiliation: | (School of Sciences, Shanghai Institute of Technology, Shanghai 201418, China) |
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| Abstract: | Volterra population model was formed based on the Logistic model incorporating integration formula to represent the effect of toxin accumulation on the species.The Volterra model was solved by using the Taylor expansion combining Pade approximation.The analytical approximate solutions were obtained and the effects of the model parameters were analyzed. |
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| Keywords: | Volterra population model Taylor series Pade approximation |
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