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Year 2018, Volume: 10, 33 - 37, 29.12.2018

Abstract

References

  • Chatkin, J. M., Fiterman, J., Fonseca, N.A., Fritscher, C.C. 2001. Change in asthma mortality trends in children and adolescents in Rio Grande do Sul: 1970–1998, Jornal de Pneumologia 27, (2001), 89–93. (in Portuguese, with abstract in English).
  • Gregorczyk, A., Richards plant growth model, Journal of Agronomy and Crop Science 181 (1998), 243–247.
  • Mischan, M.M., Pinho, S.Z., Carvalho, L.R., Determination of a point su_ciently close to the asymptote in nonlinear growth functions, Scientia Agricola. (Piracicaba, Braz.) 68(1), (2011),109–114.
  • Yıldızbakan, A., Analysis on mathematical models of tree growth and comparison of these models, MSc Thesis, Institute of Natural and Applied Sciences, University of Cukurova, Turkey, 2005 (in Turkish, with abstract in English).

A Study Over Determination of Asymptotic Deceleration and Absolute Acceleration Points in Logistic Growth Model

Year 2018, Volume: 10, 33 - 37, 29.12.2018

Abstract

Since growth models
has generally upper horizontal asymptote, they do not have a maximum point. We
wonder about after which point growth can be considered constant, that is,
after which point the curve of the growth function is too close to its
asymptote. That point is called maximum deceleration point. After this point
the deceleration is very slow and the second derivative of the growth function
goes to zero as time tends to infinity. After this point it is considered that
the amount of the growth is quite small. Moreover, we wonder about which point
is an absolute acceleration point so that before that point acceleration is
very slow and after that point actual acceleration starts. So we could say that
after this point actual growth starts. In this study, the logistic growth model
was used to investigate these points, asymptotic deceleration and absolute
acceleration points in addition to the other critical and important points such
as inflection point, maximum acceleration point, maximum deceleration point.
The graphs of the logistic growth model which show all these points mentioned
above are also given by using a data set.

References

  • Chatkin, J. M., Fiterman, J., Fonseca, N.A., Fritscher, C.C. 2001. Change in asthma mortality trends in children and adolescents in Rio Grande do Sul: 1970–1998, Jornal de Pneumologia 27, (2001), 89–93. (in Portuguese, with abstract in English).
  • Gregorczyk, A., Richards plant growth model, Journal of Agronomy and Crop Science 181 (1998), 243–247.
  • Mischan, M.M., Pinho, S.Z., Carvalho, L.R., Determination of a point su_ciently close to the asymptote in nonlinear growth functions, Scientia Agricola. (Piracicaba, Braz.) 68(1), (2011),109–114.
  • Yıldızbakan, A., Analysis on mathematical models of tree growth and comparison of these models, MSc Thesis, Institute of Natural and Applied Sciences, University of Cukurova, Turkey, 2005 (in Turkish, with abstract in English).
There are 4 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Mehmet Korkmaz

Volkan Oda This is me

Elif Ozkurt Basustaoglu This is me

Publication Date December 29, 2018
Published in Issue Year 2018 Volume: 10

Cite

APA Korkmaz, M., Oda, V., & Ozkurt Basustaoglu, E. (2018). A Study Over Determination of Asymptotic Deceleration and Absolute Acceleration Points in Logistic Growth Model. Turkish Journal of Mathematics and Computer Science, 10, 33-37.
AMA Korkmaz M, Oda V, Ozkurt Basustaoglu E. A Study Over Determination of Asymptotic Deceleration and Absolute Acceleration Points in Logistic Growth Model. TJMCS. December 2018;10:33-37.
Chicago Korkmaz, Mehmet, Volkan Oda, and Elif Ozkurt Basustaoglu. “A Study Over Determination of Asymptotic Deceleration and Absolute Acceleration Points in Logistic Growth Model”. Turkish Journal of Mathematics and Computer Science 10, December (December 2018): 33-37.
EndNote Korkmaz M, Oda V, Ozkurt Basustaoglu E (December 1, 2018) A Study Over Determination of Asymptotic Deceleration and Absolute Acceleration Points in Logistic Growth Model. Turkish Journal of Mathematics and Computer Science 10 33–37.
IEEE M. Korkmaz, V. Oda, and E. Ozkurt Basustaoglu, “A Study Over Determination of Asymptotic Deceleration and Absolute Acceleration Points in Logistic Growth Model”, TJMCS, vol. 10, pp. 33–37, 2018.
ISNAD Korkmaz, Mehmet et al. “A Study Over Determination of Asymptotic Deceleration and Absolute Acceleration Points in Logistic Growth Model”. Turkish Journal of Mathematics and Computer Science 10 (December 2018), 33-37.
JAMA Korkmaz M, Oda V, Ozkurt Basustaoglu E. A Study Over Determination of Asymptotic Deceleration and Absolute Acceleration Points in Logistic Growth Model. TJMCS. 2018;10:33–37.
MLA Korkmaz, Mehmet et al. “A Study Over Determination of Asymptotic Deceleration and Absolute Acceleration Points in Logistic Growth Model”. Turkish Journal of Mathematics and Computer Science, vol. 10, 2018, pp. 33-37.
Vancouver Korkmaz M, Oda V, Ozkurt Basustaoglu E. A Study Over Determination of Asymptotic Deceleration and Absolute Acceleration Points in Logistic Growth Model. TJMCS. 2018;10:33-7.