| 滞后算子在生物种群扩散模型中的应用 |
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| 引用本文： | 黄海洋,刘来福.滞后算子在生物种群扩散模型中的应用[J].北京师范大学学报(自然科学版),1996,32(1):13-18. |
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| 作者姓名： | 黄海洋 刘来福 |
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| 作者单位： | 北京师范大学数学系 |
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| 摘 要： | 构造并分析了一个由微分积分方程初值问题确定的滞后算子，利用这个滞后算子将一类非线性生物种群扩散模转化为一个带滞后算子的抛物型偏微分方程的初边值问题。给出了解的存在唯一性定理，并讨论了解的渐近行为及其在生物实际中的意义。
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| 关 键 词： | 滞后算子 抛物型方程 种群扩散 |
THE APPLICATION OF THE CAUSAL OPERATOR IN THE DIFFUSION MODEL OF THE BIOLOGICAL POPULATION |
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| Huang Haiyang, Liu Laifu.THE APPLICATION OF THE CAUSAL OPERATOR IN THE DIFFUSION MODEL OF THE BIOLOGICAL POPULATION[J].Journal of Beijing Normal University(Natural Science),1996,32(1):13-18. |
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| Authors: | Huang Haiyang Liu Laifu |
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| Abstract: | By means of the causal operator determined by the initial pmblem of the differentio-integral equation, the class of the noulinear diffusion model of the biological population was translated into the initia-boundary problem of the parabolic equation with the causal operator.The existence and uniqueness of the solution are got,and the asymptotic behavior of the solution is discussed.Specially what sense of the behavior of the solution was considered in the biological reality. |
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| Keywords: | causal operator parabolic equation population diffusion |
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