Comparing virus incubation time in SIRC models: Deterministic versus stochastic approaches
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
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Qualitative Behavior of the Solutions to Delay and Difference Equations
It is noteworthy to observe that a first-order linear ordinary differential equation without delay does not possess oscillatory solutions. Therefore the investigation of oscillatory solutions is of interest for equations with delays or for the discrete
P. Ioannis
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Exponential Multistep Methods for Stiff Delay Differential Equations
Stiff delay differential equations are frequently utilized in practice, but their numerical simulations are difficult due to the complicated interaction between the stiff and delay terms.
Rui Zhan +3 more
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Marcus Stochastic Differential Equations: Representation of Probability Density
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
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Effect of Differential Retardation Equations on Insect Life Cycle: Modeling and Analysis for Deeper Understanding [PDF]
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
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Periodic Averaging Principle for Neutral Stochastic Delay Differential Equations with Impulses
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
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Application of the Aboodh Transform for Solving Fractional Delay Differential Equations
In this article, we extend the concept of the Aboodh transform to the solution of partial differential equations of fractional order using Caputo's fractional derivative.
Mohamed Elarbi Benattia, K. Belghaba
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Third order differential equations with delay
In this paper, we study the oscillation and asymptotic properties of solutions of certain nonlinear third order differential equations with delay. In particular, we extend results of I.
Petr Liška
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On the oscillation of fourth-order delay differential equations
In the paper, fourth-order delay differential equations of the form (r3(r2(r1y′)′)′)′(t)+q(t)y(τ(t))=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
S. Grace +3 more
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Delayed perturbation of Mittag‐Leffler functions and their applications to fractional linear delay differential equations [PDF]
In this paper, we propose a delayed perturbation of Mittag‐Leffler type matrix function, which is an extension of the classical Mittag‐Leffler type matrix function and delayed Mittag‐Leffler type matrix function. With the help of the delayed perturbation
N. Mahmudov
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