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Delay Differential Equations [PDF]
, 2015 This is a short presentation on the topic of 'Delay Differential Equations'. In the latter part, I discuss a DDE system - the Mackey-Glass equation, in some detail (phase diagrams, bifurcations, chaos).
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On nonlinear delay differential equations [PDF]
Transactions of the American Mathematical Society, 1994 We examine qualitative behaviour of delay differential equations of the form \[ y ′ ( t ) = h ( y ( t ) , y ( q t ) ) , y ( 0 ) = y 0
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On the Stability of Delay Integro-Differential Equations [PDF]
Mathematical and Computational Applications, 2007 Some new stability results are given for a delay integro-differential equation. A basis theorem on the behavior of solutions of delay integro-differential equations is established. As a consequence of this theorem, a stability criterion is obtained.
YALÇINBAŞ, SALİH +1 more
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Derivation and computation of discrete-delayand continuous-delay SDEs in mathematical biology
Mathematical Biosciences and Engineering, 2013 Stochastic versions of several discrete-delay and continuous-delay differential equations, useful in mathematical biology, are derived from basic principles carefully taking into account the demographic, environmental, or physiological randomness in the ...
Edward J. Allen
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Computation, 2023 In this article, we consider a delayed system of first-order hyperbolic differential equations. The presence of the delay term in first-order hyperbolic delay differential equations poses significant challenges in both analysis and numerical solutions ...
Karthick Sampath +2 more
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A nonlinear differential delay equation
Journal of Mathematical Analysis and Applications, 1983 AbstractA procedure reported elsewhere for solution of linear and nonlinear, deterministic or stochastic, delay differential equations developed by the authors as an extension of the first author's methods for nonlinear stochastic differential equations is now applied to a nonlinear delay-differential equation arising in population problems and studied
Randolph Rach, George Adomian
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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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Delay differential logistic equation with harvesting
Mathematical and Computer Modelling, 2004 The logistic delay equation with a linear delay harvesting term N@__ __(t)=r(t)N(t)[a-@__ __k=1mb"kN(h"k(t))]-@__ __l=1nc"l(t)N(g"l(t)),t>=0,N(t)=@f(t ...
Leonid Berezansky +2 more
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Singular differential equations with delay
Differential and Integral Equations, 1999 The differential equation $d(Mu(t))/dt=-Lu(t)+L_1u(t-1), $ $t\geq0, $ $u(t)=\varphi(t),$ $ -1\leq t\leq0$, for a given strongly continuous $X$-valued function $\varphi$ on $[-1,0]$ is studied, where $M, L, L_1$ are closed linear operators from the complex Banach space $X$ into itself, and $L$ is invertible. Though already in the finite dimensional case
FAVINI A, PANDOLFI, LUCIANO, TANABE H.
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The unpredictably eruptive dynamics of spruce budworm populations in eastern Canada
Population Ecology, EarlyView.We examine historical population data for spruce budworm from several locations through the period 1930–1997, and use density‐dependent recruitment curves to test whether the pattern of population growth over time is more consistent with Royama's (1984; Ecological Monographs 54:429–462) linear R(t) model of harmonic oscillation at Green River New ...
Barry J. Cooke, Jacques Régnière
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