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2017 | 64 | 3 | 339-352

Article title

Modelowanie liczby ludności za pomocą równań różnicowych

Title variants

Modelling Population Growth with Difference Equation Method

Languages of publication

PL

Abstracts

Year

Volume

64

Issue

3

Pages

339-352

Physical description

Contributors

  • Lublin University of Technology, Fundamentals of Technology Faculty, Department of Applied Mathematics
  • Lublin University of Technology, Management Faculty, Department of Quantitative Methods in Management

References

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  • Hemker P. W., (1972), Numerical Methods for Differential Equations in System Simulation and in Parameter Estimation, in: Hemker H. C., Hess B., (eds.), Analysis and Simulation of Biochemical Systems, North Holland Publ. Comp, 59–80.
  • Huang Y., (2010), A Bayesian Approach in Differential Equation Dynamic Models Incorporating Clinical Factors and Covariates. Journal of Applied Statistics, 37 (2), 181–199.
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  • Li Z., Osborne M. R., Prvan T., (2005), Parameter Estimation of Ordinary Differential Equations, IMA Journal of Numerical Analysis, 25 (2), 264–285.
  • Liang H., Wu H., (2008), Parameter Estimation for Differential Equation Models Using a Framework of Measurement Error in Regression Models, Journal of the American Statistical Association, 103 (484), 1570–1583.
  • Malthus T. R., (1798), An Essay on the Principal of Population, J. Johnson, in St. Paul’s Church-Yard: London.
  • Miao H., Dykes C., Demeter L. M., Wu H., (2009), Differential Equation Modeling of HIV Viral Fitness Experiments: Model Identification, Model Selection, and Multimodel Inference, Biometrics, 65 (1), 292–300.
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  • Poyton A. A., Varziri M. S., McAuley K. B., McLellan P. J., Ramsay J. O., (2006), Parameter Estimation in Continuous-Time Dynamic Models Using Principal Differential Analysis, Computer and Chemical Engineering, 30 (4), 698–708.
  • Ramsay J. O., Hooker G., Campbell D., Cao J., (2007), Parameter Estimation for Differential Equations: A Generalized Smoothing Approach (with Discussions), Journal of the Royal Statistical Society: Series B, 69 (5), 741–796.
  • Rao C. R., (1982), Modele liniowe statystyki matematycznej, PWN, Warszawa.
  • Robertson J. S., Bond V. P., Cronkite E. P., Hutton W. E., Howland W. E., Shinbrot M., von Foerster H., Mora P. M., Amiot L. W., (1961), Doomsday, Science, 133, 936–946.
  • Rzymowski W., Surowiec A., (2012), Method of Parameters Estimation of Pseudologistic Model, in: Zieliński Z. E., (ed.), Rola informatyki w naukach ekonomicznych i społecznych. Innowacje i implikacje interdyscyplinarne, 2, WSH, Kielce, 256–265.
  • Serrin J., (1975), Is ‘Doomsday’ on target? (Letter), Science, 189, 86–88.
  • Sierpiński W. F., (1946), Zasady algebry wyższej, PWN, Warszawa–Wrocław.
  • Smith D. A., (1977), Human Population Growth: Stability or Explosion? Mathematics Magazine, 50 (4), 186–197.
  • Varah J. M., (1982), A Spline Least Squares Method for Numerical Parameter Estimation in Differential Equations, SIAM Journal on Scientific and Statistical Computing, 3 (1), 28–46.
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Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.polindex-article-doi-10_5604_01_3001_0014_0826
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