与年龄相关的随机种群模型解的均方散逸性 |
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引用本文: | 张启敏,李西宁,杨莉.与年龄相关的随机种群模型解的均方散逸性[J].华南师范大学学报(自然科学版),2017,49(4):106-110. |
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作者姓名: | 张启敏 李西宁 杨莉 |
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作者单位: | 1.1.宁夏大学数学计算机学院 |
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摘 要: | 讨论了一类与年龄相关的随机种群模型数值解的均方散逸性: 基于步长~$h$~受限制和无限制的两种条件, 利用倒向欧拉法和补偿的倒向欧拉法分析了该随机种群模型数值解的均方散逸性并加以证明, 最后得出补偿的倒向欧拉法更适合解决与年龄相关的随机种群模型数值解的均方散逸性问题.
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关 键 词: | 均方散逸性 |
收稿时间: | 2016-01-10 |
Mean-square dissipativity of two numerical methods for stochastic age-dependent population equations with jumps |
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Abstract: | The mean-square dissipativity of the numerical solution for a class of stochastic age-dependent population equations with jumps is discussed. Based on the step length under the condition of limited and unlimited, it is essential for studying the mean-square dissipativity to use backward Euler method and compensated backward Euler method for stochastic age-dependent population equations with jumps. The results show that the compensated backward Euler method is more suitable for solving the mean-square dissipativity about stochastic age-dependent population equations with jumps. |
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