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有限空间年龄结构种群模型的数值分析 被引量：1

Numerical analysis of an age-structured population model with space-limited recruitment
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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. 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.
作者 孙冠颖 梁栋 王文洽
机构地区 山东大学数学与系统科学学院
出处 《山东大学学报（理学版）》 CAS CSCD 北大核心 2006年第6期65-70,共6页 Journal of Shandong University(Natural Science)
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 age-structured population model upwind scheme forward-Euler difference method stability error estimate
分类号 O241 [理学—计算数学]
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参考文献9

  • 1J Roughgarden,Y Iwasa,C Baxter.Demographic theory for an open marine population with space-limited recruitment[J].Ecology,1985,66:54～67.
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同被引文献12

  • 1张阳.一阶非定常双曲问题的间断-差分流线扩散法及其误差估计[J].数值计算与计算机应用,2007,28(1):18-26. 被引量：1
  • 2K Kamioka.Mathematical analysis of an age-structured population model with space-limited recruitment[J].Mathematical biosciences,2005,198(1):27-56.
  • 3J Roughgarden,Y Iwasa,C Baxter.Demographic theory for an open marine population with space-limited recruitment[J].Ecology,1985,66(1):54-67.
  • 4J Roughgarden,Y Iwasa.Dynamics of a metapopulation with space-limited subpopulations[J].Theoretical Population Biology,1986,29(2):235-261.
  • 5Y Iwasa,J Roughgarden.Interspecific competition among metapopulations with space-limited subpopulations[J].Theoretical Population Biology,1986,30(2):194-214.
  • 6J R Bence,R M Nisbet.Space-limited recruitment in open systems:the importance of time delays[J].Ecology,1989:1434-1441.
  • 7Y Kuang,J W H So.Analysis of a delayed two-stage population model with space-limited recruitment[J].SIAM Journal on Applied Mathematics,1995,55(6):1675-1696.
  • 8S Zhang,H I Freedman,X Z Liu.Analysis of a population model with space-dependent recruitment in continuous time[J].Journal of mathematical analysis and applications,1999,232(1):99-118.
  • 9H Inaba.Nonlinear dynamics of open marine population with space-limited recruitment:The case of mortality control[J].Journal of mathematical analysis and applications,2002,275(2):537-556.
  • 10G Sun,D Liang,W Wang.Numerical analysis to discontinuous Galerkin methods for the age structured population model of marine invertebrates[J].Numerical Methods for Partial Differential Equations,2009,25(2):470-493.

引证文献1

山东大学学报（理学版）
2006年 第6期

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