Impulsive Model Research Articles

Three methods of visco‐acoustic migration based on the De Wolf approximation and comparison of their migration images

AbstractThe viscosity of a medium affects the amplitude attenuation and velocity dispersion of seismic waves. Therefore, it is necessary to consider these factors during migration. First, to eliminate the viscous effect of a medium, we combine the Futterman model with the integral equation of the De Wolf approximation to construct a compensation operator of the De Wolf approximation for a visco‐acoustic medium. Next, we use the visco‐acoustic screen approximation method to realize the continuation operator then establish a prestack depth migration algorithm. Finally, an error analysis, impulse response test and model test are performed. The results show that three different generalized visco‐acoustic screen methods (phase screen method, generalized screen method and extended local Born Fourier method) can satisfactorily compensate for the attenuation of deep interface amplitude. Among these methods, the visco‐acoustic extended local Born Fourier method has the highest accuracy and the best compensation effect.

Factor analysis of impulsivity in gaming disorder and internet gaming disorder

BackgroundResearch suggests that a two-factor model of impulsivity predicts Substance Use Disorder and Gambling Disorder. We aimed to determine whether a similar factor structure was present for Gaming Disorder (GD) and Internet Gaming Disorder (IGD).MethodsSecondary data analysis was conducted on survey responses from 372 participants who had completed a series of questions on facets of impulsivity and their involvement in gaming. Participants were sampled from gaming forums and an online recruitment website. Exploratory factor analysis was conducted on the measures of trait impulsivity, and the identified factors were then analyzed against measures of Gaming Disorder and Internet Gaming Disorder. A confirmatory factor analysis was then run to confirm the model.ResultsThe exploratory results suggested a five-factor model of impulsivity, with gaming being related to all five factors. Interestingly, only two of those factors (Urgency (Positive Urgency, Negative Urgency, Delay Discounting) and (Impaired) Inhibitory Control (False Button Presses on Go/No-Go Tasks)) predicted symptom counts above the clinical cut-off for IGD. In addition, Urgency was related to symptom counts above 7/9 criteria for IGD, as well as symptom counts above the suggested clinical cut-off for GD. The confirmatory factor analysis suggested that this two-factor model of impulsivity had ‘good fit.’ConclusionsThis two-factor model of impulsivity is similar to those found in established addiction disorders, in that one factor appears to predict more problematic involvement than the other. However, the results indicate that Urgency predicts higher symptom counts than (Impaired) Inhibitory Control. This contrasts with previous findings on substance use and gambling, where (Impaired) Inhibitory Control was the factor predicting problematic use. However, there was evidence to suggest that gaming is similar to alcohol consumption, where socially acceptable, “healthy,” use is related to impulsivity at some level, but Urgency is key in the transition from recreational to disordered behavior.

Fractional Differential Equations with Impulsive Effects

This paper discusses impulsive effects on fractional differential equations. Two approaches are taken to obtain our results: either with fixed or changing lower limits in Caputo fractional derivatives. First, we derive an existence result for periodic solutions of fractional differential equations with periodically changing lower limits. Then, the impulsive effects are modeled for fractional differential equations regarding the nonlinearities rather than the initial value conditions. The proposed impulsive model differs from common discontinuous and nonsmooth dynamical systems.

The dynamics of emotion-related impulsivity: An analysis of momentary self-efficacy and daily emotion-driven urges and actions via ecological momentary assessment.

Emotion-related impulsivity-the engagement in impulsive reactions specifically in response to emotions-is considered a transdiagnostic factor underlying psychopathology. The reflexive responding to emotion (RRE) model of emotion-related impulsivity (Carver et al., 2008) suggests that sensitivities to reward and threat in combination with control over emotion are factors that result in internalizing and externalizing psychopathology. In the current study, we adapt the trait-based RRE model to momentary states by evaluating how within-person fluctuations in affect combine with perceptions of momentary emotional control to predict impulsive, rash action and inaction in daily life. Participants (college students and adults recruited from the community: N = 197) completed 8 days of ecological momentary assessment, where we assessed current affect, perceptions of momentary emotional control (via distress intolerance and willpower), and urges for rash action and inaction (5,353 momentary prompts completed). We also assessed subsequent engagement in rash action and inaction. Using multilevel modeling, we found that when people feel greater positive affect and lower negative affect, they also report greater subjective willpower and lower distress intolerance, replicating past ecological momentary assessment findings. Furthermore, we found that momentary perceptions of momentary emotional control moderated the relationship between (a) affect and urges for rash action and (b) affect and engagement in rash action at follow-up. Findings support a dynamic model of the RRE model, confirming that perceptions of momentary emotional control are relevant for both rash action and inaction, particularly when occurring alongside shifts in affect. (PsycInfo Database Record (c) 2024 APA, all rights reserved).

Pulse vaccination in a SIR model: Global dynamics, bifurcations and seasonality

We analyze a periodically-forced dynamical system inspired by the SIR model with impulsive vaccination. We fully characterize its dynamics according to the proportion p of vaccinated individuals and the time T between doses. If the basic reproduction number is less than 1 (i.eRp<1), then we obtain precise conditions for the existence and global stability of a disease-free T-periodic solution. Otherwise, if Rp>1, then a globally stable T-periodic solution emerges with positive coordinates.We draw a bifurcation diagram (T,p) and we describe the associated bifurcations. We also find analytically and numerically chaotic dynamics by adding seasonality to the disease transmission rate. In a realistic context, low vaccination coverage and intense seasonality may result in unpredictable dynamics. Previous experiments have suggested chaos in periodically-forced biological impulsive models, but no analytic proof has been given.

Modeling hepatocyte apoptosis in chronic HCV infection with impulsive drug control

Chronic hepatitis C virus (HCV) infection is one of the leading life-threatening diseases owing to its non-cytopathic nature and scarcity of vaccines to combat. Hepatocyte apoptosis casts extensive impact in regulating chronic HCV infection. We propose a four dimensional deterministic model scheming the role of hepatocyte apoptosis and significance of HCV-specific CTL response in the intermediate stages of chronic HCV infection. Numerical simulation indicates that unregulated behavior of hepatocyte apoptosis triggers hepatocellular carcinoma and prolonged continuation of apoptosis induces liver damages. The system undergoes backward bifurcation and the value of the basic reproduction number R0=0.98<1 shows recurrence of infection. Local sensitivity analysis has been performed to reveal the most sensitive parameters responsible for the progression and mitigation of infection. In order to control of chronic HCV infection through pan-genotypic direct acting antiviral drugs (DAAs), impulsive differential equations are considered to study the effect of perfect drug adherence to both fixed and non-fixed dosing. For possible eradication of the chronic HCV infection, impulsive drug control suggests significant viral load reduction. The analytical results obtained for both non-impulsive and impulsive models are quantified biologically.

Intelligent sequential multi-impulse collision avoidance method for non-cooperative spacecraft based on an improved search tree algorithm

The problem of collision avoidance for non-cooperative targets has received significant attention from researchers in recent years. Non-cooperative targets exhibit uncertain states and unpredictable behaviors, making collision avoidance significantly more challenging than that for space debris. Much existing research focuses on the continuous thrust model, whereas the impulsive maneuver model is more appropriate for long-duration and long-distance avoidance missions. Additionally, it is important to minimize the impact on the original mission while avoiding non-cooperative targets. On the other hand, the existing avoidance algorithms are computationally complex and time-consuming especially with the limited computing capability of the on-board computer, posing challenges for practical engineering applications. To conquer these difficulties, this paper makes the following key contributions: (A) a turn-based (sequential decision-making) limited-area impulsive collision avoidance model considering the time delay of precision orbit determination is established for the first time; (B) a novel Selection Probability Learning Adaptive Search-depth Search Tree (SPL-ASST) algorithm is proposed for non-cooperative target avoidance, which improves the decision-making efficiency by introducing an adaptive-search-depth mechanism and a neural network into the traditional Monte Carlo Tree Search (MCTS). Numerical simulations confirm the effectiveness and efficiency of the proposed method.

تذبذب نموذج تكون الدم النبضي مع معاملات موجبة وسالبة

في هذا البحث تم بحث مشكلة الحلول المتذبذبة لنموذج تكون الدم النبضي ذات المعاملات الموجبة والسالبة. هناك العديد من العمليات التطورية ، والتي كثيرًا ما تواجه تحولات دراماتيكية في أوقات محددة وتكون حساسة للاضطرابات قصيرة المدى. نتيجة لذلك ، نقوم ببناء العديد من معايير التذبذب التي تكون إما جديدة تمامًا أو تعزز العديد من النتائج الحديثة في الأدبيات. نقدم أيضًا أمثلة توضيحية لكيفية تأثير النبضات على الحلول المتذبذبة لنموذج تكوين الدم.

Exponential synchronization of dynamical complex networks via random impulsive scheme

This paper investigates the synchronization of a complex network based on a class of random impulsive differential equation systems. Based on the random impulsive strategy of Poisson distribution, a random impulsive dynamical network model is constructed. Using the Lyapunov principle, random process theory, linear matrix inequality method, and some basic analysis methods, we realize the global mean-square index synchronization of the model. We then get sufficient criteria for the synchronization. By presenting a numerical example, we verified the validity of the theoretical results.

On solvability and optimal controls for impulsive stochastic integrodifferential varying-coefficient model

This article concentrates in analyzing optimal controls for stochastic integrodifferential equation (SIDE) in Hilbert space. Necessary parameters are imposed to demonstrate the system that follows a unique variation of parameter formula using Leray Schauder Alternative. Subsequently, the existence of optimal control is investigated for the considered Lagrange control problem. The theoretical example with the mechanical example of ethanol fuelled engine are discussed to validate the results obtained.

Dynamics of a bouncing capsule: An impulse model vs a Hertzian model

A capsule-shaped object, unlike a sphere, can rebound to a higher height than it is dropped from if it has an initial spin. In this paper, we compare two quantitative models of this phenomenon: an impulse-based analytic model and a force-based Hertzian model. We experimentally studied the effects of impact angular velocity and contact angle on the capsule's rebounding velocity and angular velocity. Our experimental findings showed successful agreement with our Hertzian model but not with our impulse model. We attribute the comparative success of the Hertzian model to its intricate treatment of the slip–stick behavior of friction during the collision.

Investigation on the effects of an elliptical wall on the dynamic behaviors of a bubble restricted by two parallel plates

The present paper investigates the dynamic behaviors of a bubble restricted by two parallel plates near an elliptical wall. The typical experimental phenomena of the bubble are recorded employing the high-speed photography and a theoretical Kelvin impulse model is established. The impacts of the spatial position and the curvature of the wall on the bubble collapse behaviors are quantitatively investigated through the theoretical model and verified against the experimental results. The Kelvin impulse intensity and the direction during the bubble collapse process are compared and discussed for different elliptical-shaped walls. The main conclusions include: (1) During the bubble collapse process, the phenomenon of the bubble uneven splitting is discovered. (2) At different spatial positions and wall curvatures, the bubble collapse jet angle, movement distance, and velocity are in good agreement with the theoretical Kelvin impulse predictions. (3) As the short-to-long axis ratio increases, the differences in the distributions of the Kelvin impulse intensity and the direction near the elliptical wall gradually become larger, and the range of the influence of the impulse intensity expands.

Epidemic dynamics of cholera with impulsive sanitation

In this work, we develop an ordinary differential equation (ODE) model with impulsive sanitation of cholera. The sanitation interventions are classified into three types in this article. The first two types are human sanitation, with type-1 sanitation focused on the prevention of direct and indirect transmissions and type-2 focused on prevention of bacterial shedding. The third type refers to pathogen sanitation where interventions are performed in contaminated water environment via disinfection. For the developed impulsive model, we introduce the basic production number R0 and show that R0 remains a sharp disease threshold parameter despite the incorporation of impulsive sanitation. We numerically investigate the impact of impulsive sanitation on the prevention and control of the disease. Our numerical results indicate that type-1 sanitation tends to bear the longest time window between subsequent interventions among all the three types of sanitation provided the same level of sanitation efficacy. Particularly, when the sanitation efficacy is 50% under 90% compliance, type-1 sanitation can be implemented about every 7 months for the purpose of disease control, whereas type-2 and type-3 sanitation will have be performed on a daily basis and every three weeks or so, respectively.

Investigation on laser-induced bubble collapse among triple particles based on high-frame-rate photography and the Kelvin impulse model

In fluid machinery, the concurrent presence of cavitation bubbles and particle clusters leads to considerably damage to material surfaces. This study investigates the dynamics of a bubble situated among triple particles based on the Kelvin impulse model and high-frame-rate photography, focusing on the impact of the dimensionless distance of particles and the bubble size. Specifically, the jet, bubble motion, and bubble interface evolution characteristics are quantitatively evaluated. The following conclusions are obtained: (1) The collapse shapes of the bubble can be divided into three typical cases: equilateral triangle shape, isosceles triangle shape, and arcuate shape. (2) Among the triple particles, four zero-Kelvin-impulse locations are present, around which the jet direction is extremely sensitive to the bubble initial position. As the bubble initial position moves along the central line, the bubble motion direction dramatically changes during its collapse. (3) The relative position of bubble and particles is the key parameter that affects the bubble dynamics. As the bubble–particle distance decreases, the non-uniformity of bubble collapse morphology and the bubble motion distance will become more significant.

Dynamical behaviors of an impulsive stochastic neural field lattice model

This paper is concerned with the asymptotic behaviors of the solutions of an impulsive stochastic neural field lattice model driven by nonlinear noise. We first show the existence and uniqueness of weak pullback mean random attractors for the impulsive stochastic systems. Then by the properties of Markov processes, the existence of evolution system of measures for the impulsive stochastic systems is established. To this end, we employ the idea of uniform estimates on the tails of the solutions to show the tightness of a family of distributions of the solutions of the lattice systems.

Impulsive Control Discrete Fractional Neural Networks in Product Form Design: Practical Mittag-Leffler Stability Criteria

The planning, regulation and effectiveness of the product design process depend on various characteristics. Recently, bio-inspired collective intelligence approaches have been applied in this process in order to create more appealing product forms and optimize the design process. In fact, the use of neural network models in product form design analysis is a complex process, in which the type of network has to be determined, as well as the structure of the network layers and the neurons in them; the connection coefficients, inputs and outputs have to be explored; and the data have to be collected. In this paper, an impulsive discrete fractional neural network modeling approach is introduced for product design analysis. The proposed model extends and complements several existing integer-order neural network models to the generalized impulsive discrete fractional-order setting, which is a more flexible mechanism to study product form design. Since control and stability methods are fundamental in the construction and practical significance of a neural network model, appropriate impulsive controllers are designed, and practical Mittag-Leffler stability criteria are proposed. The Lyapunov function strategy is applied in providing the stability criteria and their efficiency is demonstrated via examples and a discussion. The established examples also illustrate the role of impulsive controllers in stabilizing the behavior of the neuronal states. The proposed modeling approach and the stability results are applicable to numerous industrial design tasks in which multi-agent systems are implemented.

IMPULSIVE DIFFERENTIAL EQUATION MODEL IN HIV-1 INHIBITION: ADVANCES IN DUAL INHIBITORS OF HIV-1 RT AND IN FOR THE PREVENTION OF HIV-1 REPLICATION

Reverse transcriptase (RT) and integrase (IN) are two pivotal enzymes in HIV-1 replication. RT converts the single-stranded viral RNA genome into double-stranded DNA and IN catalyzes the integration of viral double-stranded DNA into host DNA. Currently, dual inhibitors of HIV-1 RT and IN have become a hotspot in new anti-HIV drug research and development. A dual inhibitor of HIV-1 RT/IN does the same thing as the two independent drugs would do. In this paper, we develop a mathematical model comprising a system of nonlinear differential equations describing HIV-1 RT/IN catalyzed biochemical reactions based on Michaelis–Menten enzyme kinetic reaction. In the formulated model we incorporate HIV-1 RT/IN dual inhibitor which simultaneously works as a non-nucleoside RT inhibitor and IN inhibitor. To examine the efficacy of HIV-1 RT/IN dual inhibitor in the treatment of HIV-1 infection, we have introduced a one-dimensional impulsive differential equation model and determined an effective dosing regimen for applying the inhibitor numerically. Furthermore, the exact closed form solution of the impulsive differential equation model is carried out by using the Lambert W function and the local stability of the periodic solution is also obtained analytically. The results obtained from analytical as well as numerical studies provide a basic idea to investigate the minimum dose with the highest efficacy for administering HIV-1 RT/IN dual inhibitors to prevent HIV-1 infection.

Temperature control of beer fermentation based on variable domain fuzzy PID and neural network technology and its application analysis

AbstractTemperature control in the beer manufacturing process is crucial for product quality. Given the gap between China's automation in beer production and the international level, improving the technology in this area has gradually become a core issue in optimizing domestic beer production. This study combines a proportional integral derivative controller with a fuzzy modeling strategy and incorporates a variable‐domain structure to propose a variable‐domain fuzzy proportional integral derivative controller control method. To cope with the challenges of production interaction, the study also introduces neural network technology. The experimental data indicated that the variable‐domain fuzzy proportional integral derivative controller outperforms the conventional proportional integral derivative controller and the fuzzy proportional integral differential controller in terms of overshooting, with a maximum overshoot of only 1.0, compared with 0.50 and 0.70, respectively. The variable‐domain fuzzy proportional integral differential controller exhibited a minimal overshoot of only 0.01 when the model parameter is increased by 20%. In comparison, the other methods reach overshoot values of 0.92 and 1.0. The proposed method maintained superior stability even under the influence of impulse disturbance, step disturbance, and modeling variations. These results demonstrated that the research method is significantly more stable than both the proportion integration differentiation (PID) controller and fuzzy PID controller in complex dynamic parameter environments. The proposed method involved 60 rounds of neural network control, which was successfully implemented. The temperature readings T1 and T2 remained stable within the range of 1.0%–1.02% throughout the experiments. The study demonstrates that the proposed methods have higher accuracy and less fluctuation in actual application, making them more available. Taken together, the above results show that the combination of variable‐domain fuzzy PID controller and neural network technology in beer production has achieved excellent control results. This study not only provides a strong technical support for the progress of beer production technology in China, but also has important industrial application value and wide promotion prospects.

FORMALIZATION OF THE INFLUENCE OF EXOGENOUS AND ENDOGENOUS PROCESSES ON THE FINANCIAL ACTIVITIES OF AGRIBUSINESS ENTERPRISES

The functioning of business structures in the agricultural sector has recently become significantly more complicated. In today's conditions, it is becoming more and more difficult to develop security strategies for agribusiness enterprises, because factors that have arisen relatively recently, especially of an external nature, have a significant negative impact on the financial activities of enterprises. In order to make optimal financial decisions, the entire toolkit, developed and tested by many years of business experience in the agricultural sector both abroad and in the middle of our country, should be used. One of these methods is economic descriptive cognitive modeling, which allows to analyze external and internal factors influencing the activities of enterprises, evaluate the strength of their interaction, and graphically display cause-and-effect relationships in a dynamic system. The method of cognitive modeling was studied in order to formalize the influence of exogenous and endogenous processes on the financial activity of agribusiness enterprises. As a result of the research, the components of the development of enterprises in the agricultural sector were analyzed from the standpoint of ensuring the efficiency of their financial activities using cognitive modeling. A matrix of causality and a cognitive map of the influence of a number of factors on the target component "financial activity of the agribusiness enterprises" were built. Impulse modeling of the influence of given concepts was carried out. The results of the conducted cognitive modeling of the influence of factors can be used to develop a safe strategy for the sustainable development of enterprises of other industries in the conditions of dynamic changes. The application of the cognitive approach made it possible to foresee various processes of development of situations in this system that may arise in it under the expected influence of various factors, as well as the influence of regulatory and control systems.

Peer victimization and aggressive behaviors among adolescents: a moderated mediation model of cognitive impulsivity and dispositional mindfulness

Peer victimization and aggressive behaviors among adolescents: a moderated mediation model of cognitive impulsivity and dispositional mindfulness