Dynamical Analysis of a Local Lengley-Epstein System Coupled with Fractional Delayed Differential Equations

BALCI, ERCAN

doi:10.33187/jmsm.1222532

Dynamical Analysis of a Local Lengley-Epstein System Coupled with Fractional Delayed Differential Equations

Ercan BALCI (Erciyes Üniversitesi, Fen Fakültesi, Matematik Bölümü, Kayseri, Türkiye)

Journal of mathematical sciences and modelling (Online)

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Yıl: 2023 Cilt: 6 Sayı: 2 Sayfa Aralığı: 56 - 64 Metin Dili: İngilizce DOI: 10.33187/jmsm.1222532 İndeks Tarihi: 24-08-2023

Dynamical Analysis of a Local Lengley-Epstein System Coupled with Fractional Delayed Differential Equations

Öz:

We consider a system of fractional delayed differential equations. The ordinary differential version of the system without delay is introduced in the Lengyel-Epstein reaction-diffusion system. We evaluate the system with and without delay and explore the stability of the unique positive equilibrium. We also prove the existence of Hopf bifurcation for both cases. Furthermore, the impacts of Caputo fractional order parameter and time delay parameter on the dynamics of the system are investigated with numerical simulations. It is also concluded that for different values of time delay parameter, the decreament of the Caputo fractional order parameter has opposite effects on the system in terms of stability.

Anahtar Kelime: Caputo fractional derivative Fractional delayed differential equations Hopf bifurcation Lengyel-Epstein equation

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	BALCI E (2023). Dynamical Analysis of a Local Lengley-Epstein System Coupled with Fractional Delayed Differential Equations. , 56 - 64. 10.33187/jmsm.1222532
Chicago	BALCI ERCAN Dynamical Analysis of a Local Lengley-Epstein System Coupled with Fractional Delayed Differential Equations. (2023): 56 - 64. 10.33187/jmsm.1222532
MLA	BALCI ERCAN Dynamical Analysis of a Local Lengley-Epstein System Coupled with Fractional Delayed Differential Equations. , 2023, ss.56 - 64. 10.33187/jmsm.1222532
AMA	BALCI E Dynamical Analysis of a Local Lengley-Epstein System Coupled with Fractional Delayed Differential Equations. . 2023; 56 - 64. 10.33187/jmsm.1222532
Vancouver	BALCI E Dynamical Analysis of a Local Lengley-Epstein System Coupled with Fractional Delayed Differential Equations. . 2023; 56 - 64. 10.33187/jmsm.1222532
IEEE	BALCI E "Dynamical Analysis of a Local Lengley-Epstein System Coupled with Fractional Delayed Differential Equations." , ss.56 - 64, 2023. 10.33187/jmsm.1222532
ISNAD	BALCI, ERCAN. "Dynamical Analysis of a Local Lengley-Epstein System Coupled with Fractional Delayed Differential Equations". (2023), 56-64. https://doi.org/10.33187/jmsm.1222532

APA	BALCI E (2023). Dynamical Analysis of a Local Lengley-Epstein System Coupled with Fractional Delayed Differential Equations. Journal of mathematical sciences and modelling (Online), 6(2), 56 - 64. 10.33187/jmsm.1222532
Chicago	BALCI ERCAN Dynamical Analysis of a Local Lengley-Epstein System Coupled with Fractional Delayed Differential Equations. Journal of mathematical sciences and modelling (Online) 6, no.2 (2023): 56 - 64. 10.33187/jmsm.1222532
MLA	BALCI ERCAN Dynamical Analysis of a Local Lengley-Epstein System Coupled with Fractional Delayed Differential Equations. Journal of mathematical sciences and modelling (Online), vol.6, no.2, 2023, ss.56 - 64. 10.33187/jmsm.1222532
AMA	BALCI E Dynamical Analysis of a Local Lengley-Epstein System Coupled with Fractional Delayed Differential Equations. Journal of mathematical sciences and modelling (Online). 2023; 6(2): 56 - 64. 10.33187/jmsm.1222532
Vancouver	BALCI E Dynamical Analysis of a Local Lengley-Epstein System Coupled with Fractional Delayed Differential Equations. Journal of mathematical sciences and modelling (Online). 2023; 6(2): 56 - 64. 10.33187/jmsm.1222532
IEEE	BALCI E "Dynamical Analysis of a Local Lengley-Epstein System Coupled with Fractional Delayed Differential Equations." Journal of mathematical sciences and modelling (Online), 6, ss.56 - 64, 2023. 10.33187/jmsm.1222532
ISNAD	BALCI, ERCAN. "Dynamical Analysis of a Local Lengley-Epstein System Coupled with Fractional Delayed Differential Equations". Journal of mathematical sciences and modelling (Online) 6/2 (2023), 56-64. https://doi.org/10.33187/jmsm.1222532