| 有限空间年龄结构种群模型的数值分析 |
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| 引用本文： | 孙冠颖,梁栋,王文洽.有限空间年龄结构种群模型的数值分析[J].山东大学学报(理学版),2006,41(6):65-70. |
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| 作者姓名： | 孙冠颖 梁栋 王文洽 |
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| 作者单位： | 1. 山东大学,数学与系统科学学院,山东,济南,250100
2. 山东大学,数学与系统科学学院,山东,济南,250100;约克大学,数学与统计系,安大略省多伦多,加拿大,M3J 1P3 |
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| 摘 要： | 对一类有限空间年龄结构种群模型提出了一种数值方法．运用迎风格式和Euler向前差分格式进行求解．给出了格式的稳定性，得到了最大模误差估计，证明了数值解的非负性并给出了数值算例．
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| 关 键 词： | 年龄结构种群模型 迎风格式 Euler向前差分格式 稳定性 误差估计 |
| 文章编号： | 1671-9352（2006）06-0065-06 |
| 收稿时间： | 2006-03-23 |
| 修稿时间： | 2006年3月23日 |
Numerical analysis of an age-structured population model with space-limited recruitment |
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| SUN Guan-ying,LIANG Dong,WANG Wen-qia.Numerical analysis of an age-structured population model with space-limited recruitment[J].Journal of Shandong University,2006,41(6):65-70. |
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| Authors: | SUN Guan-ying LIANG Dong WANG Wen-qia |
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| Institution: | 1. School of Math. and System Sci., Shandong Univ., Jinan 2.50100, Shandong, China; 2, Department of Mathematics and Statistics, York Univ., Toronto, Ontario, Canada M3J IF3 |
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| Abstract: | A numerical method is studied for an age-structured population model with space-limited recruitment. An upwind scheme and forward-Euler difference method are considered for the approximation. The rate of convergence is demonstrated for the maximum norm, and the stability of the scheme is discussed. The results show that the numerical solutions are nonnegative. Numerical experiment is carried out. |
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| Keywords: | age-structured population model upwind scheme forward-Euler difference method stability error estimate |
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