Dynamics Analysis of a Class of Delayed Economic Model by Chuangxia Huang, Changlin Peng, Xiaohong Chen, Fenghua Wen

“…This investigation aims at developing a methodology to establish stability and bifurcation dynamics generated by a class of delayed economic model, whose state variable is described by the scalar delay differential equation of the form d2p(t)/dt2=−μδ(p(t))(dp(t)/dt)−μbp(t−τ1) −μ(a0p(t−τ2)/(a1+p(t−τ2)))+μ(d0−g0). …”
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Dynamics of evolutionary competition between budding and lytic viral release strategies by Xiulan Lai, Xingfu Zou

“…In this paper, we consider the evolutionary competition between budding and lytic viral release strategies, using a delay differential equation model with distributed delay. When antibody is not established, the dynamics of competition depends on the respective basic reproductive ratios of the two viruses. …”
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On the Critical Case in Oscillation for Differential Equations with a Single Delay and with Several Delays by Jaromír Baštinec, Leonid Berezansky, Josef Diblík, Zdeněk Šmarda

“…These conditions improve and extend some known oscillation results in the critical case for delay differential equations.…”
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Numerical Solution of Piecewise Constant Delay Systems Based on a Hybrid Framework by H. R. Marzban, S. Hajiabdolrahmani

“…An efficient numerical scheme for solving delay differential equations with a piecewise constant delay function is developed in this paper. …”
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SVEIRS: A New Epidemic Disease Model with Time Delays and Impulsive Effects by Tongqian Zhang, Xinzhu Meng, Tonghua Zhang

“…We first propose a new epidemic disease model governed by system of impulsive delay differential equations. Then, based on theories for impulsive delay differential equations, we skillfully solve the difficulty in analyzing the global dynamical behavior of the model with pulse vaccination and impulsive population input effects at two different periodic moments. …”
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A New Comparison Principle for Impulsive Functional Differential Equations by Gang Li, Weizhong Ling, Changming Ding

“…Then, using this comparison principle, we obtain some sufficient conditions for several stabilities of impulsive delay differential equations. Finally, we present an example to show the effectiveness of our results.…”
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Culling structured hosts to eradicate vector-borne diseases by Xinli Hu, Yansheng Liu, Jianhong Wu

“…A compartmental model is developed, in the form of a nonautonomoussystem of delay differential equations subject to impulses atspecific times, for mosquito-born disease control involvinglarvicides and insecticide sprays. …”
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Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space by H.T. Banks, S. Dediu, H.K. Nguyen

“…Schemes that approximate themeasures in the Prohorov sense are illustrated with numericalsimulations for distributed delay differential equations.…”
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Oscillation and Asymptotic Behavior of Higher-Order Nonlinear Differential Equations by J. Džurina, B. Baculíková

“…As a possible application of the lemma in the oscillation theory, we study the asymptotic properties and oscillation of the nth order delay differential equations (E)(r(t)[x(n−1)(t)]γ)′+q(t)xγ(τ(t))=0. …”
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Dynamic Properties of the Solow Model with Increasing or Decreasing Population and Time-to-Build Technology by Luca Guerrini, Mauro Sodini

“…The analytical results are obtained using the recent technique introduced by Beretta and Kuang (2002) in the studying of delayed differential equations with delay-dependent coefficients in characteristic equation. …”
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Oscillation Criteria for Even Order Neutral Equations with Distributed Deviating Argument by Siyu Zhang, Fanwei Meng

“…We present new oscillation criteria for the even order neutral delay differential equations with distributed deviating argument [r(t)ψ(x(t))Z(n−1)(t)]′+∫abp(t,ξ)f[x(g(t,ξ))]dσ(ξ)=0,  t≥t0, where Z(t)=x(t)+q(t)x(t−τ). …”
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A New Result for ψ-Hilfer Fractional Pantograph-Type Langevin Equation and Inclusions by Hamid Lmou, Khalid Hilal, Ahmed Kajouni

“…In this paper, we deal with the existence and uniqueness of solution for ψ-Hilfer Langevin fractional pantograph differential equation and inclusion; these types of pantograph equations are a special class of delay differential equations. The existence and uniqueness results are obtained by making use of the Krasnoselskii fixed-point theorem and Banach contraction principle, and for the inclusion version, we use the Martelli fixed-point theorem to get the existence result. …”
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Dynamics of a delay Schistosomiasis model in snail infections by Chunhua Shan, Hongjun Gao, Huaiping Zhu

“…In this paper we modify and study a system of delay differential equations model proposed by Nåsell and Hirsch (1973) for the transmission dynamics of schistosomiasis. …”
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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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Qualitative and Computational Analysis of a Mathematical Model for Tumor-Immune Interactions by F. A. Rihan, M. Safan, M. A. Abdeen, D. Abdel Rahman

“…We provide a family of ordinary and delay differential equations to model the dynamics of tumor-growth and immunotherapy interactions. …”
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The Invertibility, Explicit Determinants, and Inverses of Circulant and Left Circulant and g-Circulant Matrices Involving Any Continuous Fibonacci and Lucas Numbers by Zhaolin Jiang, Dan Li

“…Circulant matrices play an important role in solving delay differential equations. In this paper, circulant type matrices including the circulant and left circulant and g-circulant matrices with any continuous Fibonacci and Lucas numbers are considered. …”
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Oscillation Solutions for Nonlinear Second-Order Neutral Differential Equations by Omar Bazighifan, Nawa Alshammari, Faten Aldosari, Loredana Florentina Iambor

“…To demonstrate their practical implications, three illustrative examples are presented, showcasing the applicability and effectiveness of the results in solving real-world problems involving delay differential equations.…”
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Classical Theory of Linear Multistep Methods for Volterra Functional Differential Equations by Yunfei Li, Shoufu Li

“…The methods and theories presented in this paper are applicable to nonneutral, nonstiff, and nonlinear initial value problems in ODEs, Volterra delay differential equations (VDDEs), Volterra integro-differential equations (VIDEs), Volterra delay integro-differential equations (VDIDEs), etc. …”
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Noether symmetry of multi-delay Birkhoffian system and its conserved quantity by Xin-Yu Du, Xiang-Hua Zhai

“…The multi-delay differential equations of motion are derived for both Birkhoffian and Hamiltonian models. …”
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The effect of time delay in plant--pathogen interactions with host demography by Bruno Buonomo, Marianna Cerasuolo

“…We replace this hypothesis in the framework of delay differential equations by proposing a delayed epidemic model for plant--pathogen interactions with host demography. …”
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