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Van der Pol model in two-delay differential equation representation [PDF]
Scientific Reports, 2022 The Van der Pol equation is the mathematical model of a second-order ordinary differential equation with cubic nonlinearity. Several studies have been adding time delay to the Van der Pol model. In this paper, the differential equation of the Van der Pol
M. A. Elfouly, M. A. Sohaly
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A fractional system of delay differential equation with nonsingular kernels in modeling hand-foot-mouth disease. [PDF]
Adv Differ Equ, 2020 In this article, we examine a computational model to explore the prevalence of a viral infectious disease, namely hand-foot-mouth disease, which is more common in infants and children.
Ghanbari B.
europepmc +2 more sources
Oscillation tests for first-order linear differential equations with non-monotone delays [PDF]
Advances in Difference Equations, 2021 We study the oscillation of a first-order linear delay differential equation. A new technique is developed and used to obtain new oscillatory criteria for differential equation with non-monotone delay.
Emad R. Attia
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IMPLEMENTASI DELAY DIFFERENTIAL EQUATION PADA SOLVER ORDINARY DIFFERENTIAL EQUATION MATLAB [PDF]
JUTI: Jurnal Ilmiah Teknologi Informasi, 2002 Ordinary Differential Equation (ODE) dan Delay Differential Equation (DDE) banyak digunakan untuk menerangkan kejadian-kejadian pada dunia nyata. ODE melibatkan derivatif yang dipengaruhi oleh penyelesaian waktu sekarang dari variabel-variabel yang tidak
Rully Soelaiman, Yudhi Purwananto
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Distributed Delay Differential Equation Representations of Cyclic Differential Equations [PDF]
SIAM Journal on Applied Mathematics, 2020 Compartmental ordinary differential equation (ODE) models are used extensively in mathematical biology. When transit between compartments occurs at a constant rate, the well-known linear chain trick can be used to show that the ODE model is equivalent to
Tyler Cassidy
semanticscholar +5 more sources
Mathematical Biosciences and Engineering, 2019 We use the McKendrick equation with variable ageing rate and randomly distributed maturation time to derive a state dependent distributed delay differential equation.
Tyler Cassidy +2 more
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AIP Advances, 2018 Explicit solutions to delay differential equation (DDE) and stochastic delay differential equation (SDDE) can rarely be obtained, therefore numerical methods are adopted to solve these DDE and SDDE.
Sami Ullah Khan, Ishtiaq Ali
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Maximum likelihood inference for multivariate delay differential equation models [PDF]
Scientific ReportsThe maximum likelihood inference framework for delay differential equation models in the multivariate settings is developed. The number of delay parameters is assumed to be one or more.
Ahmed Adly Mahmoud +6 more
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Ulam stability for a delay differential equation
Open Mathematics, 2013 We study the Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability for a delay differential equation. Some examples are given.
Otrocol Diana, Ilea Veronica
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Advanced Study on the Delay Differential Equation y′(t) = ay(t) + by(ct)
Mathematics, 2022 Many real-world problems have been modeled via delay differential equations. The pantograph delay differential equation y′(t)=ay(t)+byct belongs to such a set of delay differential equations.
Aneefah H. S. Alenazy +3 more
semanticscholar +1 more source