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• W2927163773 abstract "In this paper, we propose and study a Logistic model with feedback control of fractional order that is extended directly from a system of ordinary differential equations. Uniform asymptotic stability of this model is established based on an appropriate Lyapunov function and an important consequence of this result; we present a simple proof for the global stability of the original system of ordinary differential equations. Besides, to numerically solve and simulate the proposed fractional model, unconditionally positive nonstandard finite difference schemes are constructed and analyzed. Finally, the numerical simulations obtained by the constructed nonstandard finite difference schemes are compared with the Grunwald–Letnikov scheme to reveal that the proposed scheme is convenient for solving the proposed model and confirm the validity of the established results." @default.
• W2927163773 created "2019-04-11" @default.
• W2927163773 creator A5029195220 @default.
• W2927163773 creator A5042610477 @default.
• W2927163773 date "2019-06-01" @default.
• W2927163773 modified "2023-10-11" @default.
• W2927163773 title "Uniform asymptotic stability of a Logistic model with feedback control of fractional order and nonstandard finite difference schemes" @default.
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• W2927163773 doi "https://doi.org/10.1016/j.chaos.2019.03.031" @default.
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