Evaluation of vaccination strategies during pandemic outbreaks by Christopher S. Bowman, Julien Arino, S.M. Moghadas

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Modeling diseases with latency and relapse by P. van den Driessche, Lin Wang, Xingfu Zou

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The role of delays in innate and adaptive immunity to intracellular bacterial infection by Simeone Marino, Edoardo Beretta, Denise E. Kirschner

Subjects: “…delay differential equations model…”
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Mathematical modelling of the immune response to infectious diseases with the influence of environmental factors by Yaroslav Bihun, Oleh Ukrainets

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Estimation of initial functions for systems with delays from discrete measurements by Krzysztof Fujarewicz

Subjects: “…delay differential equations…”
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Four-Step <i>T</i>-Stable Generalized Iterative Technique with Improved Convergence and Various Applications by Quanita Kiran, Shaista Begum

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An SEIR epidemic model with constant latency time and infectious period by Edoardo Beretta, Dimitri Breda

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Delay equations modeling the effects of phase-specific drugs and immunotherapy on proliferating tumor cells by Maria Vittoria Barbarossa, Christina Kuttler, Jonathan Zinsl

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Oscillation Criteria for Second-Order Delay, Difference, and Functional Equations by L. K. Kikina, I. P. Stavroulakis

“…The most interesting oscillation criteria for the second-order linear delay differential equation, the second-order difference equation and the second-order functional equation, especially in the case where liminft→∞∫τ(t)tτ(s)p(s)ds≤1/e and limsupt→∞∫τ(t)tτ(s)p(s)ds<1 for the second-order linear delay differential equation, and 0<liminft→∞{Q(t)P(g(t))}≤1/4 and limsupt→∞{Q(t)P(g(t))}<1, for the second-order functional equation, are presented.…”
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New Stability Conditions for Linear Differential Equations with Several Delays by Leonid Berezansky, Elena Braverman

“…New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation x˙(t)+∑k=1mak(t)x(hk(t))=0 with measurable delays and coefficients. …”
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On oscillation of a food-limited population model with time delay by Leonid Berezansky, Elena Braverman

“…For a scalar nonlinear delay differential equation Ṅ(t) = r(t)N(t)(K − N(h(t)))/(K + s(t)N(g(t))),r(t) ≥ 0, h(t) ≤ t, g(t) ≤ t and some generalizations of this equation, we establish explicit oscillation and nonoscillation conditions. …”
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Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator by T. Suebcharoen

“…Bounded positive solution, equilibria, and stabilities are determined for the system of delay differential equation. By choosing the delay as a bifurcation parameter, it is shown that the positive equilibrium can be destabilized through a Hopf bifurcation. …”
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Oscillation of Half-Linear Differential Equations with Delay by Simona Fišnarová, Robert Mařík

“…We study the half-linear delay differential equation , , We establish a new a priori bound for the nonoscillatory solution of this equation and utilize this bound to derive new oscillation criteria for this equation in terms of oscillation criteria for an ordinary half-linear differential equation. …”
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Disease dynamics for the hometown of migrant workers by Ram P. Sigdel, C. Connell McCluskey

“…Biol. 300:100--109 (2012) formulatedand studied a delay differential equation model for disease dynamics in a region where a portionof the population leaves to work in a different region for an extended fixed period. …”
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Dynamics of a Stage Structured Pest Control Model in a Polluted Environment with Pulse Pollution Input by Bing Liu, Ling Xu, Baolin Kang

“…By using pollution model and impulsive delay differential equation, we formulate a pest control model with stage structure for natural enemy in a polluted environment by introducing a constant periodic pollutant input and killing pest at different fixed moments and investigate the dynamics of such a system. …”
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Effect of time delay on a detritus-based ecosystem by Nurul Huda Gazi, Malay Bandyopadhyay

“…Next, we have introduced discrete time delay due to recycling of dead organic matters and gestation of nutrients to the growth equations of various trophic levels. With delay differential equation model system we have studied the effect of time delay on the stability behaviour. …”
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Hopf Bifurcation in a Cobweb Model with Discrete Time Delays by Luca Gori, Luca Guerrini, Mauro Sodini

“…The dynamics of the economy is characterised by a one-dimensional delay differential equation. In this context, we show that (1) if the elasticity of market demand is sufficiently high, the steady-state equilibrium is locally asymptotically stable and (2) if the elasticity of market demand is sufficiently low, quasiperiodic oscillations emerge when the time lag (that represents the length of production cycle) is high enough.…”
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Multiple Nonlinear Oscillations in a 𝔻3×𝔻3-Symmetrical Coupled System of Identical Cells with Delays by Haijun Hu, Li Liu, Jie Mao

“…The individual cells are modelled by a scalar delay differential equation which includes linear decay and nonlinear delayed feedback. …”
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Global attractivity of positive periodic solutions for an impulsive delay periodic food limited population model by Jian Song

“…We will consider the following nonlinear impulsive delay differential equation N′(t)=r(t)N(t)((K(t)−N(t−mw))/(K(t)+λ(t)N(t−mw))), a.e. t>0, t≠tk, N(tk+)=(1+bk)N(tk), K=1,2,…, where m is a positive integer, r(t), K(t), λ(t) are positive periodic functions of periodic ω. …”
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Oscillation of Second-Order Nonlinear Delay Dynamic Equations with Damping on Time Scales by H. A. Agwa, Ahmed M. M. Khodier, Heba A. Hassan

“…Also, our results unify the oscillation of the second-order nonlinear delay differential equation with damping and the second-order nonlinear delay difference equation with damping. …”
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