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Equivalences between age structured models and state dependent distributed delay differential equations

open access: yesMathematical Biosciences and Engineering, 2019
We use the McKendrick equation with variable ageing rate and randomly distributed maturation time to derive a state dependent distributed delay differential equation.
Tyler Cassidy   +2 more
doaj   +4 more sources

COVID-19: data-driven dynamics, statistical and distributed delay models, and observations. [PDF]

open access: yesNonlinear Dyn, 2020
COVID-19 was declared as a pandemic by the World Health Organization on March 11, 2020. Here, the dynamics of this epidemic is studied by using a generalized logistic function model and extended compartmental models with and without delays.
Liu X, Zheng X, Balachandran B.
europepmc   +2 more sources

Stability Analysis of SIR Model with Distributed Delay on Complex Networks. [PDF]

open access: yesPLoS One, 2016
In this paper, by taking full consideration of distributed delay, demographics and contact heterogeneity of the individuals, we present a detailed analytical study of the Susceptible-Infected-Removed (SIR) epidemic model on complex population networks ...
Huang C, Cao J, Wen F, Yang X.
europepmc   +2 more sources

Nonlinear Differential Equations with Distributed Delay: Some New Oscillatory Solutions

open access: yesMathematics, 2022
The oscillation of a class of fourth-order nonlinear damped delay differential equations with distributed deviating arguments is the subject of this research.
B. Almarri   +3 more
semanticscholar   +1 more source

Dynamical behavior of Benjamin-Bona-Mahony system with finite distributed delay in 3D

open access: yesElectronic Research Archive, 2023
We study the Benjamin-Bona-Mahony model with finite distributed delay in 3D, which depicts the dispersive impact of long waves. Based on the well-posedness of model, the family of pullback attractors for the evolutionary processes generated by a global ...
Lingrui Zhang , Xue-zhi Li, Keqin Su
doaj   +1 more source

Existence of Absolutely Continuous Fundamental Matrix of Linear Fractional System with Distributed Delays

open access: yesMathematics, 2021
The goal of the present paper is to obtain sufficient conditions that guaranty the existence and uniqueness of an absolutely continuous fundamental matrix for a retarded linear fractional differential system with Caputo type derivatives and distributed ...
Hristo Kiskinov   +3 more
doaj   +1 more source

Asymptotic behavior for a viscoelastic Kirchhoff equation with distributed delay and Balakrishnan–Taylor damping

open access: yesBoundary Value Problems, 2021
A nonlinear viscoelastic Kirchhoff-type equation with Balakrishnan–Taylor damping and distributed delay is studied. By the energy method we establish the general decay rate under suitable hypothesis.
Abdelbaki Choucha, S. Boulaaras
semanticscholar   +1 more source

Exponential Stability of Swelling Porous Elastic with a Viscoelastic Damping and Distributed Delay Term

open access: yes, 2021
In this paper, we consider a swelling porous elastic system with a viscoelastic damping and distributed delay terms in the second equation. The coupling gives new contributions to the theory associated with asymptotic behaviors of swelling porous elastic
Abdelbaki Choucha   +4 more
semanticscholar   +1 more source

Spiking Activity of a LIF Neuron in Distributed Delay Framework

open access: yesInternational Journal of Interactive Multimedia and Artificial Intelligence, 2016
Evolution of membrane potential and spiking activity for a single leaky integrate-and-fire (LIF) neuron in distributed delay framework (DDF) is investigated.
Saket Kumar Choudhary   +2 more
doaj   +3 more sources

Synchronization of Discrete-Time Complex Networks with Randomly Occurring Coupling and Distributed Time-Varying Delay

open access: yesAdvances in Difference Equations, 2010
The synchronization problem of new discrete-time complex networks with randomly occurring coupling and distributed time-varying delay is investigated. Compared with the previous work, the distributed delay is assumed to be timevarying.
Jian-an Fang, Yang Tang
doaj   +2 more sources

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