<p>In the 2016 US presidential election, widespread propagation of false news on social media, especially rumors against Hillary Clinton, quickly affected emotions and decisions some voters, highlighting potential impact voters' perceptions election results. An individual's ability to identify rumor information determines their tendency judge spread rumors, thus directly affecting society's trust in information. Considering individual identification propagation, this paper established...

Environmental factors in social systems affect information spreading at all times. This paper proposes a stochastic S 2 EIR model that considers the presence of super-spreaders and implicit exposers spreading, as well perturbation parameters. The existence global positive solution using <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m1"><mml:mi>I</mml:mi><mml:mi>t</mml:mi><mml:msup><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi>o</mml:mi></mml:mrow><mml:mo...

Information dissemination has a significant impact on social development. This paper considers that there are many stochastic factors in the system, which will result phenomena of information cross-dissemination and variation. The dual-system susceptible-infectious-mutant-recovered model variation is derived from this problem. Afterward, existence global positive solution demonstrated, sufficient conditions for disappearance its stationary distribution calculated, optimal control strategy...

Information transmission significantly impacts social stability and technological advancement. This paper compares the phenomenon of "Super transmission" "Asymptomatic infection" in COVID-19 to information transmission. The former is similar authoritative individuals, whereas latter individuals with low acceptance It then constructs an S2EIR model transmitter authority individual levels. Then, it analyzes asymptotic information-free information-existence equilibrium on a local global scale,...

Cross-transmission of information has a profound influence on the progress science and technology discipline integration in field education. In this work, knowledge gained from viral recombination variation COVID-19 transmission is applied to transmission. Virus virus are similar crossing fusion phenomena An S2I4MR model with constructed. Then, local global asymptotic stabilities information-free equilibrium information-existence analyzed. Additionally, basic reproduction number [Formula:...

&lt;abstract&gt;&lt;p&gt;The spread of rumors has an important impact on the production and life human society. Moreover, in process rumor propagation, individuals with different educational levels show degrees trust ability to rumors. Therefore, a new propagation model was established, which considers influence education level propagation. Initially, basic reproduction number calculated. Then, we analyzed existence stability equilibrium point. Next, based principle Pontryagin's maximum...

Information dissemination is vital to human production and life. Identifying analyzing the modes mechanisms of information under different conditions conducive playing role positive reducing impact negative information. Considering that multiple pieces coexist conflict with each other, in this paper, a competitive model established proposed system analyzed. The next generation matrix method used determine basic reproduction number R0. equilibrium are presented, Routh–Hurwitz stability...

Abstract Investor sentiment contagion has a profound influence on economic and social development. This paper explores the diverse influences of various investor sentiments in modern society economy society. It also investigates interference uncertain factors On this basis, dual-system stochastic SPA 2 G R model was constructed, incorporating positive negative sentiments, as well supervision isolation mechanism. The global existence solutions established, sufficient conditions for...