scholarly journals Stability charts of a delayed model of vehicle towing

2021 ◽  
Vol 54 (18) ◽  
pp. 64-69
Author(s):  
Bence Szaksz ◽  
Gabor Stepan
Keyword(s):  
Delayed Model

scholarly journals A stochastic time-delayed model for the effectiveness of Moroccan COVID-19 deconfinement strategy

2020 ◽  
Vol 15 ◽  
pp. 50 ◽  
Author(s):  
Houssine Zine ◽  
Adnane Boukhouima ◽  
El Mehdi Lotfi ◽  
Marouane Mahrouf ◽  
Delfim F.M. Torres ◽  
...  
Keyword(s):  
Public Health ◽  
Health Administration ◽  
Policy Makers ◽  
Public Health Administration ◽  
Additional Degree ◽  
Epidemiological Trend ◽  
The Impact ◽  
Near Future ◽  
Stochastic Time ◽  
Delayed Model

Coronavirus disease 2019 (COVID-19) poses a great threat to public health and the economy worldwide. Currently, COVID-19 evolves in many countries to a second stage, characterized by the need for the liberation of the economy and relaxation of the human psychological effects. To this end, numerous countries decided to implement adequate deconfinement strategies. After the first prolongation of the established confinement, Morocco moves to the deconfinement stage on May 20, 2020. The relevant question concerns the impact on the COVID-19 propagation by considering an additional degree of realism related to stochastic noises due to the effectiveness level of the adapted measures. In this paper, we propose a delayed stochastic mathematical model to predict the epidemiological trend of COVID-19 in Morocco after the deconfinement. To ensure the well-posedness of the model, we prove the existence and uniqueness of a positive solution. Based on the large number theorem for martingales, we discuss the extinction of the disease under an appropriate threshold parameter. Moreover, numerical simulations are performed in order to test the efficiency of the deconfinement strategies chosen by the Moroccan authorities to help the policy makers and public health administration to make suitable decisions in the near future.

Mathematical analysis of a time-delayed model on brucellosis transmission with disease testing information

2020 ◽  
Vol 13 (05) ◽  
pp. 2050039
Author(s):  
Qiang Hou ◽  
Lei Zhang ◽  
Maoxing Liu
Keyword(s):  
Biological Significance ◽  
Control Measures ◽  
Animal Testing ◽  
General Hypothesis ◽  
Stability Of Equilibria ◽  
Management Measures ◽  
Existence And Stability ◽  
Information Delay ◽  
The Impact ◽  
Delayed Model

Testing–culling is one of the important prevention and control measures considered in the study of animal infectious diseases. However, the process of finding infected animals (animal testing) is still not well studied through the kinetic model. In this paper, based on the characteristics of animal testing, a time-delayed model on brucellosis transmission is established. Under the general hypothesis of biological significance, the existence and stability of equilibria are first investigated. The results find that the global stability of equilibria depends on the basic reproduction number [Formula: see text] without the information delay: if [Formula: see text], the disease dies out; if [Formula: see text], the endemic equilibrium exists and the disease persists. Next, the impact of information delay on the dynamics of the model is analyzed and Hopf bifurcation is found in the established model when the information delay is greater than a critical value. Finally, the theoretical results are then further explained through numerical analysis and the significance of these results for the development of risk management measures is elaborated.

scholarly journals Time-delayed model of RNA interference

2017 ◽  
Vol 30 ◽  
pp. 11-25 ◽  
Author(s):  
G. Neofytou ◽  
Y.N. Kyrychko ◽  
K.B. Blyuss
Keyword(s):  
Rna Interference ◽  
Delayed Model

Some Remarks on Delayed Renewal Risk Models

2010 ◽  
Vol 40 (1) ◽  
pp. 199-219 ◽  
Author(s):  
Jae-Kyung Woo
Keyword(s):  
Present Model ◽  
Time Dependent ◽  
Alternative Methods ◽  
Asymptotic Formulas ◽  
Claim Size ◽  
Risk Models ◽  
Independence Assumption ◽  
Renewal Risk ◽  
Delayed Model ◽  
Special Case

AbstractSome extensions to the delayed renewal risk models are considered. In particular, the independence assumption between the interclaim time and the subsequent claim size is relaxed, and the classical Gerber-Shiu penalty function is generalized by incorporating more variables. As a result, general structures regarding various joint densities of ruin related quantities as well as their probabilistic interpretations are provided. The numerical example in case of time-dependent claim sizes is provided, and also the usual delayed model with time-independent claim sizes is discussed including a special case with exponential claim sizes. Furthermore, asymptotic formulas for the associated compound geometric tail for the present model are derived using two alternative methods.

scholarly journals Asymptotic Behavior of a Stochastic Delayed Model for Chronic Hepatitis B Infection

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-19
Author(s):  
Bo Wu ◽  
Jianwen Jia
Keyword(s):  
Chronic Hepatitis ◽  
Hepatitis B ◽  
Chronic Hepatitis B ◽  
Sufficient Conditions ◽  
Hbv Dna ◽  
Hepatitis B Infection ◽  
Chronic Hepatitis B Infection ◽  
Global Positive Solution ◽  
Delayed Model ◽  
Disease Free

In this paper, a stochastic delayed model is constructed to describe chronic hepatitis B infection with HBV DNA-containing capsids. At first, the existence and uniqueness of the global positive solution are obtained. Secondly, the sufficient conditions are derived that the solution of the stochastic system fluctuates around the disease-free equilibrium E0 and the endemic equilibrium E∗. In the end, some numerical simulations are implemented to support our analytical results.

scholarly journals Direction and Stability of Hopf Bifurcation in a Delayed Solow Model with Labor Demand

2019 ◽  
Vol 2019 ◽  
pp. 1-8
Author(s):  
Sanaa ElFadily ◽  
Abdelilah Kaddar ◽  
Khalid Najib
Keyword(s):  
Hopf Bifurcation ◽  
Order Approximation ◽  
Labor Demand ◽  
Solow Model ◽  
Bifurcation Points ◽  
Active Population ◽  
Subcritical Hopf Bifurcation ◽  
Lyapunov Coefficient ◽  
Bifurcating Periodic Solution ◽  
Delayed Model

This paper is concerned with a delayed model of mutual interactions between the economically active population and the economic growth. The main purpose is to investigate the direction and stability of the bifurcating branch resulting from the increase of delay. By using a second order approximation of the center manifold, we compute the first Lyapunov coefficient for Hopf bifurcation points and we show that the system under consideration can undergo a supercritical or subcritical Hopf bifurcation and the bifurcating periodic solution is stable or unstable in a neighborhood of some bifurcation points, depending on the choice of parameters.

scholarly journals Solving the Linear 1D Thermoelasticity Equations with Pure Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Denys Ya. Khusainov ◽  
Michael Pokojovy
Keyword(s):  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Regularity Conditions ◽  
One Dimensional ◽  
Bounded Interval ◽  
Thermoelastic Solid ◽  
Pure Delay ◽  
Initial Boundary Value ◽  
Delayed Model ◽  
Single Constant

We propose a system of partial differential equations with a single constant delayτ>0describing the behavior of a one-dimensional thermoelastic solid occupying a bounded interval ofR1. For an initial-boundary value problem associated with this system, we prove a well-posedness result in a certain topology under appropriate regularity conditions on the data. Further, we show the solution of our delayed model to converge to the solution of the classical equations of thermoelasticity asτ→0. Finally, we deduce an explicit solution representation for the delay problem.

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