Adaptive prescribed-time control of time-delay nonlinear systems via a double time-varying gain approach

C Hua, H Li, K Li, P Ning - IEEE Transactions on Cybernetics, 2022 - ieeexplore.ieee.org
This article studies the global prescribed-time stabilization problem for a class of time-delay
nonlinear systems with uncertain parameters. First, we design two time-varying gains with …

Stability of general virus dynamics models with both cellular and viral infections and delays

AM Elaiw, AA Raezah - Mathematical Methods in the Applied …, 2017 - Wiley Online Library
We consider general virus dynamics model with virus‐to‐target and infected‐to‐target
infections. The model is incorporated by intracellular discrete or distributed time delays. We …

Dynamical Analysis of a Class of Prey‐Predator Model with Beddington‐DeAngelis Functional Response, Stochastic Perturbation, and Impulsive Toxicant Input

F Bian, W Zhao, Y Song, R Yue - Complexity, 2017 - Wiley Online Library
A stochastic prey‐predator system in a polluted environment with Beddington‐DeAngelis
functional response is proposed and analyzed. Firstly, for the system with white noise …

Investigating the impact of toxicity on plant growth dynamics through the zero of a fifth-degree exponential polynomial: A mathematical model using DDE

P Kumar - Chaos, Solitons & Fractals, 2023 - Elsevier
The initial focus of our research was to study the distribution of zero in a fifth-degree
exponential polynomial. Subsequently, we utilized the findings to examine the impact of …

Compatibility between delay functions and highway capacity manual on Iraqi highways

MB Mahdi, AK Alrawi, LV Leong - Open Engineering, 2022 - degruyter.com
Volume delay functions (VDFs) are mathematical relationships used by the traffic allocation
step of demand forecasting models to take into account the effect of increased traffic flow on …

A Model of Hepatitis B Viral Dynamics with Delays

B Chen-Charpentier - AppliedMath, 2024 - mdpi.com
Hepatitis B is a liver disease caused by the human hepatitis B virus (HBV). Mathematical
models help further the understanding of the processes involved and help make predictions …

Periodic solutions to perturbed nonlinear oscillators with memory

PM Mariano, M Spadini - Physica D: Nonlinear Phenomena, 2023 - Elsevier
We consider a general class of nonlinear dynamical systems with memory. We prove under
which conditions periodic perturbations allow solutions with the same period. In particular …

Global convergence to equilibria in non-monotone delay differential equations

H El-Morshedy, A Ruiz-Herrera - Proceedings of the American …, 2019 - ams.org
In this paper we derive some criteria of global attraction to a positive equilibrium for the
equation\begin {equation*} x'(t)=-\beta x (t)+\beta F (x (t-\sigma), x (t-\tau)),\end {equation*} …

[HTML][HTML] Criteria of global attraction in systems of delay differential equations with mixed monotonicity

HA El-Morshedy, A Ruiz-Herrera - Journal of Differential Equations, 2020 - Elsevier
In this paper we extend the classical “decomposing+ embedding” method for systems of
delay differential equations. Our extension has two advantages:(1) enhancing the range of …

A curative and preventive treatment fractional model for plant disease in Atangana–Baleanu derivative through Lagrange interpolation

TQS Abdullah, G Huang, W Al-Sadi - International Journal of …, 2022 - World Scientific
The growth of the world population's number leads to increasing food needs. However, plant
diseases can decrease the production and quality of agricultural harvests. Mathematical …