Research Article

Analysis of a Fractional Plant-Nectar-Pollinator Model with the Exponential Kernel

Volume: 6 Number: 1 June 24, 2020
EN

Analysis of a Fractional Plant-Nectar-Pollinator Model with the Exponential Kernel

Abstract

This paper extends the plant-nectar-pollination model to the Caputo-Fabrizio fractional derivative, following which the existence and singularity resolutions of the new model are studies with the Picard-Lindelöf method. Afterwards Hyers-Ulam stability is utilized to analyse the stability of the PNP model. Lastly, Adam-Basford numerical approach is used for numeral resolutions.

Keywords

References

  1. [1] Wang Y. Dynamics of a plant-nectar-pollinator model and its approximate equations. Mathematical biosciences. 2019, 307, 42-52.
  2. [2] Wang Y. Global dynamics of a competition–parasitism–mutualism model characterizing plant–pollinator–robber interactions. Physica A: Statistical Mechanics and its Applications. 2018, 510, 26-41.
  3. [3] Vanbergen AJ, Woodcock BA, Heard MS, Chapman DS. Network size, structure and mutualism dependence affect the propensity for plant–pollinator extinction cascades. Functional ecology. 2017, 31(6), 1285-93.
  4. [4] Khan A, Gómez-Aguilar JF, Abdeljawad T, Khan H. Stability and numerical simulation of a fractional order plant-nectar-pollinator model. Alexandria Engineering Journal. 2020, 59(1), 49-59.
  5. [5] Dokuyucu MA, Celik E, Bulut H, Baskonus HM. Cancer treatment model with the Caputo-Fabrizio fractional derivative. The European Physical Journal Plus. 2018, 133(3), 92.
  6. [6] Dokuyucu MA, Baleanu D, Celik E. Analysis of Keller-Segel model with Atangana-Baleanu fractional derivative. Filomat. 2018, 32(16), 5633-43.
  7. [7] Dokuyucu MA. Caputo and Atangana-Baleanu-Caputo Fractional Derivative Applied to Garden Equation. Turkish Journal of Science. 2020, 5(1), 1-7.
  8. [8] Dokuyucu MA, Dutta H. A fractional order model for Ebola Virus with the new Caputo fractional derivative without singular kernel. Chaos, Solitons & Fractals. 2020, 134, 109717.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

June 24, 2020

Submission Date

May 23, 2020

Acceptance Date

June 19, 2020

Published in Issue

Year 2020 Volume: 6 Number: 1

APA
Dokuyucu, M. A. (2020). Analysis of a Fractional Plant-Nectar-Pollinator Model with the Exponential Kernel. Eastern Anatolian Journal of Science, 6(1), 11-20. https://izlik.org/JA43FF66YX
AMA
1.Dokuyucu MA. Analysis of a Fractional Plant-Nectar-Pollinator Model with the Exponential Kernel. Eastern Anatolian Journal of Science. 2020;6(1):11-20. https://izlik.org/JA43FF66YX
Chicago
Dokuyucu, Mustafa Ali. 2020. “Analysis of a Fractional Plant-Nectar-Pollinator Model With the Exponential Kernel”. Eastern Anatolian Journal of Science 6 (1): 11-20. https://izlik.org/JA43FF66YX.
EndNote
Dokuyucu MA (June 1, 2020) Analysis of a Fractional Plant-Nectar-Pollinator Model with the Exponential Kernel. Eastern Anatolian Journal of Science 6 1 11–20.
IEEE
[1]M. A. Dokuyucu, “Analysis of a Fractional Plant-Nectar-Pollinator Model with the Exponential Kernel”, Eastern Anatolian Journal of Science, vol. 6, no. 1, pp. 11–20, June 2020, [Online]. Available: https://izlik.org/JA43FF66YX
ISNAD
Dokuyucu, Mustafa Ali. “Analysis of a Fractional Plant-Nectar-Pollinator Model With the Exponential Kernel”. Eastern Anatolian Journal of Science 6/1 (June 1, 2020): 11-20. https://izlik.org/JA43FF66YX.
JAMA
1.Dokuyucu MA. Analysis of a Fractional Plant-Nectar-Pollinator Model with the Exponential Kernel. Eastern Anatolian Journal of Science. 2020;6:11–20.
MLA
Dokuyucu, Mustafa Ali. “Analysis of a Fractional Plant-Nectar-Pollinator Model With the Exponential Kernel”. Eastern Anatolian Journal of Science, vol. 6, no. 1, June 2020, pp. 11-20, https://izlik.org/JA43FF66YX.
Vancouver
1.Mustafa Ali Dokuyucu. Analysis of a Fractional Plant-Nectar-Pollinator Model with the Exponential Kernel. Eastern Anatolian Journal of Science [Internet]. 2020 Jun. 1;6(1):11-20. Available from: https://izlik.org/JA43FF66YX