Optimal control problems with time delays: Two case studies in biomedicine by Laurenz Göllmann, Helmut Maurer

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A delayed mathematical model for testosterone secretion with feedback control mechanism by Banibrata Mukhopadhyay, Rakhi Bhattacharyya

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Periodic Solutions for a Prescribed Mean Curvature Equation with Multiple Delays by Shiping Lu, Ming Lu

“…We study the existence of periodic solutions for the one-dimensional prescribed mean curvature delay equation (d/dt)(x'(t)/1+x't2) +∑i=1naitgxt-τit=pt. …”
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Role of Delay on Planktonic Ecosystem in the Presence of a Toxic Producing Phytoplankton by Swati Khare, O. P. Misra, Chhatrapal Singh, Joydip Dhar

“…A mathematical model is proposed to study the role of distributed delay on plankton ecosystem in the presence of a toxic producing phytoplankton. …”
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Existence Results of Random Impulsive Integrodifferential Inclusions with Time-Varying Delays by Sahar M. A. Maqbol, R. S. Jain, B. S. Reddy

“…This study examines the existence of mild solutions for nonlinear random impulsive integrodifferential inclusions with time-varying delays under sufficient conditions. Our study is based on the Martelli fixed point theorem, Pachpatte’s inequality, and the fixed point theorem due to Covitz and Nadler. …”
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Further Stability Analysis on Neutral Systems with Actuator Saturation and Time-Delays by Xinghua Liu

“…Based on the model transformation and the delay-dividing approach, a new type of augmented Lyapunov functional is constructed, which has fully exploited the information on the lower bound of the delay. …”
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Global Stability of HIV-1 Infection Model with Two Time Delays by Hui Miao, Xamxinur Abdurahman, Ahmadjan Muhammadhaji

“…We investigate global dynamics for a system of delay differential equations which describes a virus-immune interaction in vivo. …”
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Calculation of the Effective Delayed Neutron Fraction by Deterministic and Monte Carlo Methods by M. Carta, S. Dulla, V. Peluso, P. Ravetto, G. Bianchini

“…., reactivity, effective delayed neutron fraction βeff, and mean prompt neutron generation time). …”
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An SIR Epidemic Model with Time Delay and General Nonlinear Incidence Rate by Mingming Li, Xianning Liu

“…An SIR epidemic model with nonlinear incidence rate and time delay is investigated. The disease transmission function and the rate that infected individuals recovered from the infected compartment are assumed to be governed by general functions F(S,I) and G(I), respectively. …”
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Permanence and Positive Periodic Solutions of a Discrete Delay Competitive System by Wenjie Qin, Zhijun Liu

“…A discrete time non-autonomous two-species competitive system with delays is proposed, which involves the influence of many generations on the density of species population. …”
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Recovery after Delayed Surgery in a Case of Spinal Subdural Hematoma by Pier Paolo Panciani, Claudio Cornali, Alessandro Agnoletti, Giacomo Esposito, Gabriele Ronchetti, Marco Fontanella

“…To the best of our knowledge, this is the first case showing a good outcome in a case of SCSH following a delayed surgery. In our opinion, an aggressive approach should be considered as a viable option in cases of spontaneous SCSH even after a lasting spinal cord compression.…”
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A numerical approach for solving Volterra delay integro-differential equation by Ilhame Amirali, Muhammet Enes Durmaz, Gabil M. Amiraliyev

“…In this paper, we propose a finite difference technique for approximating solutions of first-order Volterra delay integro-differential equation. The presented numerical method acquires a second-order convergence in discrete maximum norm. …”
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Dynamics and Stability Analysis of a Brucellosis Model with Two Discrete Delays by Paride O. Lolika, Steady Mushayabasa

“…We present a mathematical model for brucellosis transmission that incorporates two discrete delays and culling of infected animals displaying signs of brucellosis infection. …”
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Chaos and bifurcation analysis of tumor-immune controlled system with time delay by Danni Wang, Hongli Yang, Liangui Yang

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Hopf Bifurcation Analysis for a Computer Virus Model with Two Delays by Zizhen Zhang, Huizhong Yang

“…This paper is concerned with a computer virus model with two delays. Its dynamics are studied in terms of local stability and Hopf bifurcation. …”
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Traveling Waves for Delayed Cellular Neural Networks with Nonmonotonic Output Functions by Zhi-Xian Yu, Rong Yuan, Cheng-Hsiung Hsu, Ming-Shu Peng

“…The dynamics of each given cell depends on itself and its nearest m left or l right neighborhood cells with distributed delay due to, for example, finite switching speed and finite velocity of signal transmission. …”
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Application of Natural Transform Method to Fractional Pantograph Delay Differential Equations by M. Valizadeh, Y. Mahmoudi, F. Dastmalchi Saei

“…In this paper, a new method based on combination of the natural transform method (NTM), Adomian decomposition method (ADM), and coefficient perturbation method (CPM) which is called “perturbed decomposition natural transform method” (PDNTM) is implemented for solving fractional pantograph delay differential equations with nonconstant coefficients. …”
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Stability and Bifurcation Analysis on an Ecoepidemiological Model with Stage Structure and Time Delay by Lingshu Wang, Guanghui Feng

“…An ecoepidemiological predator-prey model with stage structure for the predator and time delay due to the gestation of the predator is investigated. …”
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Measuring the Impact of the COVID-19 Pandemic on Diagnostic Delay in Rare Disease by Caitlin Hampson, William Evans, Lucy McKay, Lara Menzies

“…A common feature of many diseases is a substantial delay in patients receiving a correct diagnosis; this protracted path to diagnosis is termed ‘the diagnostic odyssey’. …”
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Solvability of a Second Order Nonlinear Neutral Delay Difference Equation by Zeqing Liu, Liangshi Zhao, Jeong Sheok Ume, Shin Min Kang

“…This paper studies the second-order nonlinear neutral delay difference equation Δ[anΔ(xn+bnxn−τ)+f(n,xf1n,…,xfkn)]+g(n,xg1n,…,xgkn)=cn, n≥n0. …”
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