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Higher-order structures such as simplicial complexes are ubiquitous in numerous real-world networks. Empirical evidence reveals that interactions among nodes occur not only through edges but also through higher-dimensional simplicial structures such as triangles. Nevertheless, classic models such as the threshold model fail to capture group interactions within these higher-order structures. In this paper, we propose a higher-order non-Markovian social contagion model, considering both higher-order interactions and the non-Markovian characteristics of real-world spreading processes. We develop a mean-field theory to describe its evolutionary dynamics. Simulation results reveal that the theory is capable of predicting the steady state of the model. Our theoretical analyses indicate that there is an equivalence between the higher-order non-Markovian and the higher-order Markovian social contagions. Besides, we find that non-Markovian recovery can boost the system resilience to withstand a large-scale infection or a small-scale infection under different conditions. This work deepens our understanding of the behaviors of higher-order non-Markovian social contagions in the real world. High-order structures are ubiquitous in numerous real-world networks and play a significant role in social contagion phenomena, the authors introduce a novel higher-order non-Markovian social contagion model, addressing limitations of traditional models. Through mean-field theory and simulations, the authors demonstrate that there is an equivalence between the higher-order non-Markovian and the higher-order Markovian social contagions and reveal the resilience enhancement conferred by non-Markovian recovery, shedding light on real-world contagion dynamics. [ABSTRACT FROM AUTHOR]

Illegal file sharing of copyrighted contents through popular file sharing networks poses an enormous threat to providers of digital contents, such as, games, softwares, music and movies. Though empirical studies of network effects on piracy is a well-studied domain, the dynamics of peer effect in the context of evolving social contagion has not been enough explored using dynamical models. In this research, we methodically study the trends of online piracy with a continuous ODE approach and differential equations on graphs to have a clear comparative view. We first formulate a compartmental model to study bifurcations and thresholds mathematically. We later move on with a network-based analysis to illustrate the proliferation of online piracy dynamics with an epidemiological approach over a social network. We figure out a solution for this online piracy problem by developing awareness among individuals and introducing media campaigns, which could be a valuable factor in eradicating and controlling online piracy. Next, using degree-block approximation, network analysis has been performed to investigate the phenomena from a heterogeneous approach and to derive the threshold condition for the persistence of piracy in the population in a steady state. Considering the dual control of positive peer influence and media-driven awareness, we examine the system through realistic parameter selection to better understand the complexity of the dynamics and suggest policy implications. [ABSTRACT FROM AUTHOR]

Evidence from both theoretical and empirical studies suggests that higher-order networks have emerged as powerful tools for modeling social contagions, such as opinion formation. In this article, we develop a model of social contagion on directed hypergraphs by considering the heterogeneity of individuals and environments in terms of reinforcing contagion effects. By distinguishing the directedness between nodes and hyperedges, we find that the bistable interval of the discontinuous phase transition decreases as the directedness strength decreases. Additionally, directed hypergraphs tend to generate bistable intervals when nodes with a large hyperdegree are more likely to adopt a specific opinion, as evidenced by simulations of directionality assignments for three sets of real networks. These findings provide two approaches to enhance the accuracy of predicting social contagion dynamics: one is to increase the stubbornness of all individuals, and the other is to prioritize increasing the stubbornness of highly influential individuals. Directed hypergraphs emerge as a potent framework for analyzing social contagion phenomena, incorporating the nuances of individual heterogeneity and the amplifying effects of environmental contagion reinforcement. The authors demonstrate that the interval of bistability within discontinuous phase transitions contracts with diminishing directedness strength [ABSTRACT FROM AUTHOR]

Using a vignette methodology, this study examined reactions to same-gender versus other-gender flirtation in a sample of 445 German young adults: 320 participants with a heterosexual orientation and 125 participants with a lesbian or gay (LG) orientation. Even in LG-friendly societies as Germany, receiving advances from someone of the same gender might still evoke heterosexuals’ homonegativity. Another factor that might influence heterosexuals’ reactions to same-gender flirtation is the fear of being misidentified as LG (social contagion concerns). Contrary to hypothesis, results provided little evidence to classify heterosexual participants’ reactions to same-gender flirters as homonegative. Firstly, heterosexual participants showed the same degree of negative affect and avoidance behavior in the same-gender flirtation condition as LG participants did in the other-gender flirtation condition. Only positive affect scores were somewhat lower for heterosexual participants in the same-gender flirtation condition compared to LG participants in the other-gender flirtation condition. Secondly, when anti-LG attitudes and social contagion concerns were considered together, only social contagion concerns contributed to explaining variance in heterosexual participants’ response to same-gender flirters. Specifically, the impact of social contagion concerns on heterosexual participants’ avoidance of same-gender flirters was mediated by (lacking) positive affect, but not negative affect. [ABSTRACT FROM AUTHOR]