A Higher-Order NSFD Method for a Simple Growth Model in the Chemostat

Alalhareth, Fawaz K.; Kojouharov, Hristo V.

doi:10.1007/978-3-031-11818-0_63

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2023

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“…The nonstandard finite difference methods are examples of numerical procedures that, in addition to providing an approximation of the solutions to a differential system, preserve a number of the system's essential characteristics. (for references, see [21][22][23], and references therein).…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulations for Deterministic-Stochastic Chaotic Cancer Model

Alalhareth

Laksaci

Boudaoui

et al. 2023

Preprint

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Some real-world problems have complicated behaviors, so in the last twoyears, piecewise calculus has been developed to more accurately depict these issues. Thispaper will elaborate on and examine cancer tumor’s chaotic model from determinism torandomness. Several scenarios are considered. The existence and the uniqueness of thesolutions of the system are proved via Mao’s theorem. Graphics of numerical schemesand their numerical simulations. AMS (MOS) Subject Classifications: 92B05, 65P20, 26A33

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Section: Introductionmentioning

confidence: 99%