TY  - JOUR
TI  - Dynamical Analysis of a Local Lengley-Epstein System Coupled with Fractional Delayed Differential Equations
AB  - 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.
AU  - BALCI, ERCAN
DO  - 10.33187/jmsm.1222532
PY  - 2023
JO  - Journal of mathematical sciences and modelling (Online)
VL  - 6
IS  - 2
SN  - 2636-8692
SP  - 56
EP  - 64
DB  - TRDizin
UR  - http://search/yayin/detay/1193330
ER  -