Results 21 to 30 of about 264,840 (333)

Stability Analysis of Analytical and Numerical Solutions to Nonlinear Delay Differential Equations with Variable Impulses

open access: yesDiscrete Dynamics in Nature and Society, 2017
A stability theory of nonlinear impulsive delay differential equations (IDDEs) is established. Existing algorithm may not converge when the impulses are variable.
X. Liu, Y. M. Zeng
doaj   +1 more source

Effect of Differential Retardation Equations on Insect Life Cycle: Modeling and Analysis for Deeper Understanding [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics
In this research, we explore the impact of using delay differential equations in analyzing and understanding actions within the framework of studying the life cycle of insects.
Rajaa Mhoo, Thair Thanoon
doaj   +1 more source

Neural Delay Differential Equations

open access: yes, 2021
Neural Ordinary Differential Equations (NODEs), a framework of continuous-depth neural networks, have been widely applied, showing exceptional efficacy in coping with some representative datasets. Recently, an augmented framework has been successfully developed for conquering some limitations emergent in application of the original framework.
Zhu, Qunxi, Guo, Yao, Lin, Wei
openaire   +2 more sources

Marcus Stochastic Differential Equations: Representation of Probability Density

open access: yesMathematics
Marcus stochastic delay differential equations are often used to model stochastic dynamical systems with memory in science and engineering. It is challenging to study the existence, uniqueness, and probability density of Marcus stochastic delay ...
Fang Yang, Chen Fang, Xu Sun
doaj   +1 more source

A Recipe for State Dependent Distributed Delay Differential Equations

open access: yes, 2018
We use the McKendrick equation with variable ageing rate and randomly distributed maturation time to derive a state dependent distributed delay differential equation.
Cassidy, Tyler   +2 more
core   +1 more source

Comparing virus incubation time in SIRC models: Deterministic versus stochastic approaches

open access: yesInfectious Disease Modelling
Time delays are a fundamental feature in modeling stochastic epidemic systems, as they capture the incubation period and other physiological lags inherent in disease transmission.
Abdelmalik Moujahid, Fernando Vadillo
doaj   +1 more source

Dissipativity of the delay semigroup

open access: yes, 2014
Under mild conditions a delay semigroup can be transformed into a (generalized) contraction semigroup by modifying the inner product on the (Hilbert) state space into an equivalent inner product.
Bierkens, G.N.J.C., Gaans, O. van
core   +2 more sources

Characteristic matrices for linear periodic delay differential equations [PDF]

open access: yes, 2011
Szalai et al. (SIAM J. on Sci. Comp. 28(4), 2006) gave a general construction for characteristic matrices for systems of linear delay-differential equations with periodic coefficients.
Chow S. N., Jan Sieber, Robert Szalai
core   +3 more sources

Periodic Averaging Principle for Neutral Stochastic Delay Differential Equations with Impulses

open access: yesComplexity, 2020
In this paper, we study the periodic averaging principle for neutral stochastic delay differential equations with impulses under non-Lipschitz condition.
Peiguang Wang, Yan Xu
doaj   +1 more source

Mean field approximation for noisy delay coupled excitable neurons

open access: yes, 2010
Mean field approximation of a large collection of FitzHugh-Nagumo excitable neurons with noise and all-to-all coupling with explicit time-delays, modelled by $N\gg 1$ stochastic delay-differential equations is derived.
Arnold   +28 more
core   +1 more source

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