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Year 2021, Volume 13, Issue 2, 71 - 78, 05.09.2021
https://doi.org/10.24107/ijeas.970904

Abstract

References

  • Daşbaşı, B., Daşbaşı, T., Doğrusal Programlama Minimizasyon Problemi İçin Matematiksel Model Ve Uygulaması: Kimyasal Gübre Alımı, The Journal of International Social Research, 10(50), 675-683, 2017.
  • Mondal, S.P., Khan, N.A., Vishwakarma, D., Saha, A.K., Existence and Stability of Difference Equation in Imprecise Enviroment, Nonlinear Engineering, 7(4), 263-271, 2018.
  • Harvie, D., Kelmanson, M.A., Knapp, D.G., A Dynamical Model of Business Cycle Asymmetries: Extending Goodwin, Economic, 12, 53–92, 2007.
  • Gandolfo, G., Giuseppe Palomba and the Lotka-Volterra Equations, Rendiconti Lincei, 19(4), 347-357, 2008.
  • Daşbaşı, B., Boztosun, D., Çoklu Kesirli Mertebeden Diferansiyel Denklemler ile Palomba Ekonomi Modelinin Kararlılık Analizi, Journal of International Social Research, 11(59), 901-907, 2018.
  • Elaydi, S.N., An Introduction To Difference Equations, Third Edition ed., Springer, 2005.
  • Allen, L.J.S., An Introduction to Mathematical Biology., 2007, ISBN 10: 0-13-035216-0.
  • Fulford, G., Forrester, P., Jones, A., Modelling with Differential and Difference Equations (Australian Mathematical Society Lecture Series Book 10), 1st ed. U.K., Cambridge University Press, 2001 (Reprinted).
  • Mickens, R.E., Difference equations: theory, applications and advanced topics, Third Edition ed., CRC Press, 2015.

The Modified Palomba Economic Model by Difference Equations and its Stability Analysis

Year 2021, Volume 13, Issue 2, 71 - 78, 05.09.2021
https://doi.org/10.24107/ijeas.970904

Abstract

In this study, Palomba economic model was analyzed through difference equations. For these products given as capital and consumer goods in the model, their non-marketable loss rates were also taken into account. Tirivial and non-tirivial equilibrium points were found and local asymptotic stability (LAS) conditions of these equilibrium points were investigated. Although the non-trivial equilibrium point is always unstable, the conditions for the stability of the trivial equilibrium point were found. In this way, in addition to the thought put forward by Palomba, the absence of periodicity was expressed too. The findings were supported by numerical studies.

References

  • Daşbaşı, B., Daşbaşı, T., Doğrusal Programlama Minimizasyon Problemi İçin Matematiksel Model Ve Uygulaması: Kimyasal Gübre Alımı, The Journal of International Social Research, 10(50), 675-683, 2017.
  • Mondal, S.P., Khan, N.A., Vishwakarma, D., Saha, A.K., Existence and Stability of Difference Equation in Imprecise Enviroment, Nonlinear Engineering, 7(4), 263-271, 2018.
  • Harvie, D., Kelmanson, M.A., Knapp, D.G., A Dynamical Model of Business Cycle Asymmetries: Extending Goodwin, Economic, 12, 53–92, 2007.
  • Gandolfo, G., Giuseppe Palomba and the Lotka-Volterra Equations, Rendiconti Lincei, 19(4), 347-357, 2008.
  • Daşbaşı, B., Boztosun, D., Çoklu Kesirli Mertebeden Diferansiyel Denklemler ile Palomba Ekonomi Modelinin Kararlılık Analizi, Journal of International Social Research, 11(59), 901-907, 2018.
  • Elaydi, S.N., An Introduction To Difference Equations, Third Edition ed., Springer, 2005.
  • Allen, L.J.S., An Introduction to Mathematical Biology., 2007, ISBN 10: 0-13-035216-0.
  • Fulford, G., Forrester, P., Jones, A., Modelling with Differential and Difference Equations (Australian Mathematical Society Lecture Series Book 10), 1st ed. U.K., Cambridge University Press, 2001 (Reprinted).
  • Mickens, R.E., Difference equations: theory, applications and advanced topics, Third Edition ed., CRC Press, 2015.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Bahatdin DAŞBAŞI (Primary Author)
Kayseri Üniversitesi
0000-0001-8201-7495
Türkiye

Publication Date September 5, 2021
Published in Issue Year 2021, Volume 13, Issue 2

Cite

Bibtex @research article { ijeas970904, journal = {International Journal of Engineering and Applied Sciences}, issn = {}, eissn = {1309-0267}, address = {Akdeniz Üniversitesi, Mühendislik Fakültesi, 07058, Antalya, TURKIYE}, publisher = {Akdeniz University}, year = {2021}, volume = {13}, pages = {71 - 78}, doi = {10.24107/ijeas.970904}, title = {The Modified Palomba Economic Model by Difference Equations and its Stability Analysis}, key = {cite}, author = {Daşbaşı, Bahatdin} }
APA Daşbaşı, B. (2021). The Modified Palomba Economic Model by Difference Equations and its Stability Analysis . International Journal of Engineering and Applied Sciences , 13 (2) , 71-78 . DOI: 10.24107/ijeas.970904
MLA Daşbaşı, B. "The Modified Palomba Economic Model by Difference Equations and its Stability Analysis" . International Journal of Engineering and Applied Sciences 13 (2021 ): 71-78 <https://dergipark.org.tr/en/pub/ijeas/issue/64803/970904>
Chicago Daşbaşı, B. "The Modified Palomba Economic Model by Difference Equations and its Stability Analysis". International Journal of Engineering and Applied Sciences 13 (2021 ): 71-78
RIS TY - JOUR T1 - The Modified Palomba Economic Model by Difference Equations and its Stability Analysis AU - Bahatdin Daşbaşı Y1 - 2021 PY - 2021 N1 - doi: 10.24107/ijeas.970904 DO - 10.24107/ijeas.970904 T2 - International Journal of Engineering and Applied Sciences JF - Journal JO - JOR SP - 71 EP - 78 VL - 13 IS - 2 SN - -1309-0267 M3 - doi: 10.24107/ijeas.970904 UR - https://doi.org/10.24107/ijeas.970904 Y2 - 2021 ER -
EndNote %0 International Journal of Engineering and Applied Sciences The Modified Palomba Economic Model by Difference Equations and its Stability Analysis %A Bahatdin Daşbaşı %T The Modified Palomba Economic Model by Difference Equations and its Stability Analysis %D 2021 %J International Journal of Engineering and Applied Sciences %P -1309-0267 %V 13 %N 2 %R doi: 10.24107/ijeas.970904 %U 10.24107/ijeas.970904
ISNAD Daşbaşı, Bahatdin . "The Modified Palomba Economic Model by Difference Equations and its Stability Analysis". International Journal of Engineering and Applied Sciences 13 / 2 (September 2021): 71-78 . https://doi.org/10.24107/ijeas.970904
AMA Daşbaşı B. The Modified Palomba Economic Model by Difference Equations and its Stability Analysis. IJEAS. 2021; 13(2): 71-78.
Vancouver Daşbaşı B. The Modified Palomba Economic Model by Difference Equations and its Stability Analysis. International Journal of Engineering and Applied Sciences. 2021; 13(2): 71-78.
IEEE B. Daşbaşı , "The Modified Palomba Economic Model by Difference Equations and its Stability Analysis", International Journal of Engineering and Applied Sciences, vol. 13, no. 2, pp. 71-78, Sep. 2021, doi:10.24107/ijeas.970904