Dynamical behavior and optimal impulse control analysis of a stochastic rumor spreading model

The Internet era has brought great convenience to our life and communication.Meanwhile,it also makes a bunch of rumors propagate faster and causes even more harm to human life.Therefore,it is necessary to perform effective control mechanisms to minimize the negative social impact from rumors.Thereout,firstly,we formulate a rumor spreading model considering psychological factors and thinking time,then,we add white noise(i.e.,stochastic interference)and two pulse control strategies which denote education mechanism and refutation mechanism into the model.Secondly,we obtain the global positive solutions and demonstrate the global exponential stability of the unique positive periodic rumor-free solution.Thirdly,we discuss the extinction and persistence of rumor.Moreover,we use Pontriagin’s minimum principle to explore the optimal impulse control.Finally,several numerical simulations are carried out to verify the effectiveness and availability of the theoretical analysis.We conclude that the pulse control strategies have a great influence on controlling rumor spreading,and different control strategies should be adopted under different transmission scenarios.

Superficial Inquiry on the Mechanism of Psychological Health Education of College Students under the Background of Anti Epidemic

Psychological health education has been highly valued by the party and the state.During the fight against the COVID-19,colleges and universities have made a beneficial exploration in carrying out psychological health education.In older to further understand the impact of the epidemic on the psychological health of college students,a survey was carried out based on questionnaire survey,depth interview and expert consultation.The survey found that the epidemic increased the psychological pressure and posed new challenges to the psychological health education in colleges and universities.Based on the analysis of the causes from the four aspects of society,family,college and individual,this thesis put forwards some suggestions on how to effectively carry out the psychological health education of college students in the context of fighting against the epidemic.

Analysis on the Education Mechanism of the"Learning Power"Platform from the Perspective of Media Convergence

As a media learning platform,the"Learning Power55 platform integrates the advantages of the internet,big data,and new media.Through the supply of massive explicit and implicit learning resources as well as the construction of the interactive space of"Learning Power/5 it fully embodies the education mechanism of moral education.Specifically,it is reflected in the distinctive political position and the education goal mechanism of"moral education,55 the education operation mechanism of"explicit and implicit unity,"the learning mechanism of'"autonomy and cooperation integTation,"and the feedback incentive mechanism of"gamification."The organic combination and interactive operation of these four mechanisms form a collaborative education mechanism system of goal orientation,education operation,learning process,and feedback incentive.

Responsibilities and Working Mechanism of National Human Rights Education and Training Bases

On July 22, 2014, the second group of national human rights education and train- ing bases was announced,increasing the number of national bases from the previous three to a total of eight, which reflects the advancement of human rights education and ~aining in China and has far-reaching significance.

On the Theory of Chinese Legal Education in the New Era

The Central Committee of the Community Party of China with Comrade XI Jinping at its core has made strategic thinking and top-level design for Chinese legal education in the new era, put forward a series of new concepts, ideas and strategies that are epochal, iconic, and original, and created a scientific and modernized theory of Chinese legal education in the new era. The theory on Chinese legal education for the new era, as an important part of XI Jinping Thought on the Rule of Law, profoundly answers significant questions about the orientation, goal, status, relationship, management, and system of Chinese legal education in the new era, and guides us to build a leading country in legal education.

Path analysis on educational fiscal decision-making mechanism in China

In China’s current educational fiscal decision making,problems are as follows:no law to trust or not abiding by available laws,absence of equity and efficiency,as well as the standardization of decision-making procedures.It is necessary to set up effective fiscal decision-making mechanism in education and rationally devise reliable paths.