Numerical behavior of a fractional order dynamical model of RNA silencing
Keyword(s):
A class of fractional-order differential models of RNA silencing with memory is presented in this paper. We also carry out a detailed analysis on the stability of equilibrium and we show that the model established in this paper possesses non-negative solutions. Numerical solutions are obtained using a predictor-corrector method to handle the fractional derivatives. The fractional derivatives are described in the Caputo sense. Numerical simulations are presented to illustrate the results. Also, the numerical simulations show that, modeling the phenomena of RNA silencing by fractional ordinary differential equations (FODE) has more advantages than classical integer-order modeling.
2014 ◽
Vol 687-691
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pp. 2458-2461
2014 ◽
Vol 92
(12)
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pp. 1688-1695
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2010 ◽
Vol 65
(11)
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pp. 935-949
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2021 ◽
2020 ◽
Vol 59
(4)
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pp. 2391-2400
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2005 ◽
Vol 05
(02)
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pp. 223-232
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