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单物种人口模型指数隐式Euler方法的振动性

OSCILLATIONS OF EXPONENTIAL IMPLICIT EULER METHOD FOR A SINGLE SPECIES POPULATION MODEL
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摘要 本文研究了用以描述单物种人口模型的延迟Logistic方程的数值振动性.对方程应用隐式Euler方法进行求解,针对离散格式定义了指数隐式Euler方法,证明了该方法的收敛阶为1.根据线性振动性理论获得了数值解振动的充分条件.进而还对非振动数值解的性质作了讨论.最后用数值算例对理论结果进行了验证. In this paper, we consider the oscillations of numerical solutions for the delay logistic equation which is used to describe the single species population model. Applying the implicit Euler method to this model, exponential implicit Euler method is defined according to the corresponding discrete scheme. It is proven that the exponential implicit Euler method is of order 1. The sufficient conditions under which the numerical solutions oscillate are obtained by the linearized oscillation theory. Furthermore, the property of every non-oscillatory nu- merical solution is studied. Finally, some numerical examples are given to test the theoretical results.
作者 王琦 汪小明
机构地区 广东工业大学应用数学学院
出处 《计算数学》 CSCD 北大核心 2015年第1期57-66,共10页 Mathematica Numerica Sinica
基金 国家自然科学基金资助项目(11201084)
关键词 人口模型 指数隐式Euler方法 数值解 振动性 population model exponential implicit Euler method numerical solution oscillations
分类号 O241.8 [理学—计算数学]
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  • 1Mackey M C, Glass L. Oscillation and chaos in physiological control system[J]. Science, 1977, 197: 287-289.
  • 2Kong Q. Oscillation and asymptotic behavior of a discrete logistic model[J]. Rocky Mount. J. Math., 1995, 25: 339-349.
  • 3Liang H Y, Li Q L, Zhang Z G. New oscillatory criteria for higher-order nonlinear neutral delay differential equation[J]. Nonlinear Analysis TMA., 2008, 69: 1719-1731.
  • 4Peng D H, Han M A, Wang H Y. Linearized oscillations of first-order nonlinear neutral delay difference equations[J]. Comput. Math. Appl., 2003, 45: 1785-1796.
  • 5Saker S H. Oscillation of second-order nonlinear neutral delay dynamic equations on time scales[J]. J. Comput. Appl. Math., 2006, 187: 123-141.
  • 6Sun Y G, Saker S H. Oscillation for second-order nonlinear neutral delay difference equations[J]. Appl. Math. Comput., 2005, 163: 909-918.
  • 7Zaghrout A, Ammar A, El-Sheikh M M A. Oscillation and global attractivity in delay equation of population dynamics[J]. Appl. Math. Comput., 1996, 77: 195-204.
  • 8Liu M Z, Gao J F, Yang Z W. Oscillation analysis of numerical solution in the θ-methods for equation x'(t) + ax(t) + alx([t - 1]) = 0[J]. Appl. Math. Comput., 2007, 186: 566-578.
  • 9Liu M Z, Gao Jianfang, Yang Z W. Preservation of oscillations of the Runge-Kutta method for equation x'(t) + ax(t) + alx([t - 1]) = 0[J]. Comput. Math. Appl., 2009, 58: 1113-1125.
  • 10Kubiaczyk I, Saker S H. Oscillation and stability in nonlinear delay differential equations of population dynamics[J]. Math. Comput. Model., 2002, 35: 295-301.

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计算数学
2015年 第1期

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