| 密度制约竞争二种群Volterra方程解的有界性及参数估计 |
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| 引用本文： | 宋仁学,徐中儒,徐鹏云,李飒.密度制约竞争二种群Volterra方程解的有界性及参数估计[J].生物数学学报,1994(4). |
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| 作者姓名： | 宋仁学 徐中儒 徐鹏云 李飒 |
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| 作者单位： | 东北农业大学数学教研室!哈尔滨150030(宋仁学，徐中儒)，东北农业大学(徐鹏云)，深圳大学(李飒) |
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| 摘 要： | 本文给出密度制约且相互竞争二种群Volterra方程解的一种有界性及存在唯一性的证明。基于此，参考单种群Logistic方程反问题的方法”，给出了该Volterra方程参数的一种估计。
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| 关 键 词： | Volterra方程 有界性 反问题 参数估计 |
BOUNDEDNESS OF THE SOLUTION OF VOLTERRA DIFFERENTIAL EQUATIONS OF TWO DENSITY DEPENDENT POPULATIONS IN COMPETITION AND ESTIMATION OF PARAMETERS IN THE EQUATIONS |
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| Song Renxue,Shu Zhongru,Li Sa,Shu Pengyun.BOUNDEDNESS OF THE SOLUTION OF VOLTERRA DIFFERENTIAL EQUATIONS OF TWO DENSITY DEPENDENT POPULATIONS IN COMPETITION AND ESTIMATION OF PARAMETERS IN THE EQUATIONS[J].Journal of Biomathematics,1994(4). |
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| Authors: | Song Renxue Shu Zhongru Li Sa Shu Pengyun |
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| Abstract: | Boundedness,existence and uniqueness of the solution of Volterra differential equations of two density dependent populations in competiton are proved.Based on these,an estimation of parameters in the Volterra differential equ ations is given,referring to the method of an inverse problem for Logistic equation of siugle-species population. |
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| Keywords: | Volterra differential equations Boundedness Inverse problem Estimation of parameters |
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