Research Article
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Year 2018, , 1628 - 1630, 01.12.2018
https://doi.org/10.16984/saufenbilder.395615

Abstract

References

  • Bohner, M., and Peterson, A. Dynamic Equations on Time Scales: An Introduction With Applications. Springer Science & Business Media, 2001.
  • Bohner, M., and Peterson, A. C. (Eds.). Advances in dynamic equations on time scales. Springer Science & Business Media, 2002.
  • T. Gard and J. Hoffacker, “Asymptotic behavior of natural growth on time scales,” Dynamic Systems and Applications, vol. 12, no. 1-2, pp. 131–148, 2003.
  • Lakshmikantham, V., Sivasundaram, S., and Kaymakcalan, B. Dynamic systems on measure chains (Vol. 370). Springer Science & Business Media, 2013.
  • J. Zhang, M. Fan, and H. Zhu, “Periodic solution of single population models on time scales,” Mathematical and Computer Modelling, vol. 52, no. 3, pp. 515–521, 2010.

A Lyapunov Function For Logistic Equation On Time Scales

Year 2018, , 1628 - 1630, 01.12.2018
https://doi.org/10.16984/saufenbilder.395615

Abstract

In this study we focus on the stability of dynamic logistic equation which is used in single species population dynamics. Here we have introduced a quadratic Lyapunov function for generalized dynamic logistic equation on time scales. By using proposed Lyapunov function, asymptotic stability conditions for the equilibrium solution of dynamic logistic equation have been investigated. 

References

  • Bohner, M., and Peterson, A. Dynamic Equations on Time Scales: An Introduction With Applications. Springer Science & Business Media, 2001.
  • Bohner, M., and Peterson, A. C. (Eds.). Advances in dynamic equations on time scales. Springer Science & Business Media, 2002.
  • T. Gard and J. Hoffacker, “Asymptotic behavior of natural growth on time scales,” Dynamic Systems and Applications, vol. 12, no. 1-2, pp. 131–148, 2003.
  • Lakshmikantham, V., Sivasundaram, S., and Kaymakcalan, B. Dynamic systems on measure chains (Vol. 370). Springer Science & Business Media, 2013.
  • J. Zhang, M. Fan, and H. Zhu, “Periodic solution of single population models on time scales,” Mathematical and Computer Modelling, vol. 52, no. 3, pp. 515–521, 2010.
There are 5 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Veysel Fuat Hatipoğlu 0000-0003-2156-8781

Publication Date December 1, 2018
Submission Date February 16, 2018
Acceptance Date March 26, 2018
Published in Issue Year 2018

Cite

APA Hatipoğlu, V. F. (2018). A Lyapunov Function For Logistic Equation On Time Scales. Sakarya University Journal of Science, 22(6), 1628-1630. https://doi.org/10.16984/saufenbilder.395615
AMA Hatipoğlu VF. A Lyapunov Function For Logistic Equation On Time Scales. SAUJS. December 2018;22(6):1628-1630. doi:10.16984/saufenbilder.395615
Chicago Hatipoğlu, Veysel Fuat. “A Lyapunov Function For Logistic Equation On Time Scales”. Sakarya University Journal of Science 22, no. 6 (December 2018): 1628-30. https://doi.org/10.16984/saufenbilder.395615.
EndNote Hatipoğlu VF (December 1, 2018) A Lyapunov Function For Logistic Equation On Time Scales. Sakarya University Journal of Science 22 6 1628–1630.
IEEE V. F. Hatipoğlu, “A Lyapunov Function For Logistic Equation On Time Scales”, SAUJS, vol. 22, no. 6, pp. 1628–1630, 2018, doi: 10.16984/saufenbilder.395615.
ISNAD Hatipoğlu, Veysel Fuat. “A Lyapunov Function For Logistic Equation On Time Scales”. Sakarya University Journal of Science 22/6 (December 2018), 1628-1630. https://doi.org/10.16984/saufenbilder.395615.
JAMA Hatipoğlu VF. A Lyapunov Function For Logistic Equation On Time Scales. SAUJS. 2018;22:1628–1630.
MLA Hatipoğlu, Veysel Fuat. “A Lyapunov Function For Logistic Equation On Time Scales”. Sakarya University Journal of Science, vol. 22, no. 6, 2018, pp. 1628-30, doi:10.16984/saufenbilder.395615.
Vancouver Hatipoğlu VF. A Lyapunov Function For Logistic Equation On Time Scales. SAUJS. 2018;22(6):1628-30.

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