Titlebook: Delay Differential Equations and Applications to Biology; Fathalla A. Rihan Book 2021 The Editor(s) (if applicable) and The Author(s), und

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Dietrich Ritschl,Boris Luban-Plozzaal equations of prey-predator systems with the Allee effect. The dynamic relationship between the prey and their predators has long been and will continue to be one of the dominant themes in ecology due to its universal existence and importance (see, e.g., [.,.,.,.]).

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Dietrich Ritschl,Boris Luban-Plozzauch systems using fractional-order differential equations is more advantageous than classical integer-order mathematical modeling, in which the effects of the existence of time memory or long-range space interactions are neglected.

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Numerical Solutions of Delay Differential EquationsE formulae. Special emphasis is given to continuous Runge-Kutta methods that have been used by the author. We describe, in brief, the theory of accuracy and some issues related to numerical solutions of DDEs and NDDEs.