Dynamic Mathematical Model of Information Spreading on News Platform

In recent years, the news platform has become the primary source of information for users. However, there are few studies on the news platform, especially for the analysis and modeling of the spreading process of information. This article models the dynamic process of information spreading on the news platform. Firstly, we analyze the dynamic characteristics of user state and information value. Users of news platforms have two states, active and silent states, and users can switch between these two states. The information value determines the probability of user state conversion. We construct the mathematical model for the dynamic features of user state and information value considering these characteristics. Then, with appropriate parameter assumptions, simulation experiments are performed to analyze the regularity of information spreading. The results of the experiment show that the user’s reading speed 1 / r and the conversion probability p α , β , t are important indicators that affect user state conversion. The lower reading speed and higher conversion probability can improve the transformation of the user state. Furthermore, we present some applications to promote information spreading, such as assessing the effectiveness of information spreading and controlling rumors on news platforms. Finally, we analyzed the effect of its information dissemination by taking Toutiao as an example and confirmed that the visibility and quality of information are important factors that affect information spreading. The experiments and analysis show that the dynamic mathematical model can reflect the information spreading in different situations with different parameters on the news platform.

Development of a quadricycle dynamic mathematical model methodology to calculate early design stages loads on the frame and chassis

Introduction (problem statement and relevance). To create a competitive vehicle in modern conditions, it is important to be able to determine its power elements loads at the early stages of design. A vehicle dynamic mathematical models allows you to solve this problem.The purpose of the study was to develop a dynamic mathematical model methodology of a quadricycle to determine its power elements loads under given operating conditions.Methodology and research methods. The article presents a dynamic mathematical model of a wheeled vehicle (quadricycle) technique using a created mathematical model within a solids dynamics modeling program and a real object experimental study to verify the mathematical model with an example of the obtained frame strength calculation under computer simulation loads.Scientific novelty and results. In the article the main stages of an utility quadricycle development and its dynamic mathematical model have been presented taking into account its design features and operating conditions. The main initial data necessary for creating an all-terrain vehicle dynamic mathematical model were identified. To confirm the developed dynamic model adequacy, a series of test site experiments was carried out. The obtained simulated results having been compared to the experimental data were highly convergent, which indicated the adequacy of the developed dynamic model of the ATV.Practical significance. The technique presented in the article allows to carry out virtual experiments to determine the main structural elements loads for subsequent strength, optimization and durability calculations.

MODELLING OF INSURANCE COVERAGE CONTINUITY PROVIDING IN MINING INDUSTRY IN CRISIS

BANKRUPTCY PROBABILITY MODELLING OF INSURANCE COMPANIES IN CRISIS Abstract. To develop scientific and methodological foundations, for creating an dynamic mathematical model of insurance company solvency (bankruptcy probability) considering interest rate and inflation ratio. The study used the general scientific and special methods such as: the method of critical analysis, scientific abstraction and generalization of scientific expertise of recent theoretical studies, system-integrated approach, method of dynamic mathematical modeling. Elaboration of dynamic mathematical model of bankruptcy probability modelling considering inflation (as inflation has negative impact on all aspects of insurance business including insurance reserves) and rate of interest. The peculiarities of insurance companies investment activity have been defined. The estimation of insurance premium that ensures abequate insurance fund value formation, i.e. insurance company solvency formation has been performed. Insurance tariff and supplement value correspondent to defined probability of insurance company bankruptcy have been defined. Methodological approaches of insurance companies solvency (bankruptcy probability) modelling were further developed. The dynamic mathematical model of bankruptcy probability considering inflation and rate of interest has been proposed. Theoretical study was developed to the level of specific techniques and suggestions for improvement of the estimation and prognozing of insurance companies solvency and could be used in strategic, current and operational planning. A comprehensive methodology of supplement estimation allows to respond to the changing market situation by changing the values of insurance tariffs. Keywords: insurance organization, dynamic model, probability of bankruptcy, inflation, rate of interest. JEL Сlassification C15, G22, L6, H12 Formulas: 36; fig.: 0; tabl.: 0; bibl.: 12.

Dynamic modeling for the morphological pattern of thermokarst plains with fluvial erosion on the base of remote sensing data

The paper deals with the results of the analysis of the dynamic mathematical model for the morphological pattern of thermokarst plains with fluvial erosion basing on the mathematical morphology of landscape approach and remote sensing data. The theoretical analysis resulted in the dynamic mathematical model for the morphological pattern of thermokarst plains with fluvial erosion, which was empirically tested at a set of the key sites. The empirical testing confirms the theoretical results about the exponential distribution of khasyrei areas in different natural environments with a broad geological and geocryological spectrums. Moreover, the area distribution of thermokarst lakes obeys both gamma and lognormal distributions. We have found that the average radius and diameter distributions should be the Raleigh one. The analysis shows that the variant of the thermokarst synchronous start is the most common for the taken key sites. Besides, the model allows us to assess certain dynamic parameters of the processes using landscape metrics from a single time slice.

Rigid-flexible coupling dynamic model of a flexible planar parallel robot for modal characteristics research

The increasing applications of flexible parallel robots in industrial production have presented the advantages of light weight and high speed, but at the same time, the elastic vibration problem has emerged. By investigating the modal features of flexible parallel robots so as to suppress the elastic vibration, with pinned-pinned as flexible intermediate links boundary conditions, this article analyzes the rigid-flexible coupling dynamic mathematical model of the 3-RRR (3-Rotate-Rotate-Rotate) flexible planar parallel robot with flexible intermediate links. The effect of the extremity concentrated rotation inertia of flexible intermediate links is considered in the mathematical model. Besides, the effect of inertia and coupling force on the dynamic model and the first three-order vibration responses of flexible intermediate links were discussed based on the established model. The corresponding spectrum characteristics were studied using fast Fourier transform. Comparing the frequency characteristics obtained by theoretical model and modal experiment, it was found that the results obtained by the dynamic mathematical model are quite close to the test results. Less dynamic parameters make it convenient to carry out the control program.