This paper studies a susceptible--infected--susceptible (SIS) epidemic model coupled with opinion dynamics over a network of communities with higher-order interactions. Unlike standard networked SIS models, which account only for pairwise transmission, the proposed model incorporates group-level infection mechanisms and feedback between epidemic prevalence and community opinions. We establish local stability and instability conditions for a particular healthy equilibrium, derive a sufficient condition for global exponential eradication of the infection state, and identify conditions under which higher-order interactions induce bistability in the reduced dynamics on a positively invariant synchronous set. These results characterize how higher-order interactions alter the dynamics of opinion-dependent epidemic systems. Numerical simulations illustrate the predicted eradication, bistable, and endemic regimes.
A susceptible-infected-recovered model on clustered networks with stochastic behavioral adaptation, which reveals a rich interplay between behavioral adaptation, transmission heterogeneity, and network clustering in shaping both the onset and structure of epidemic outbreaks.
Xiao-Long Peng, Shu-Yan Chang, Li Li et al.· Chaos· 0 citations
Non-recurrent epidemics on complex networks, such as the paradigmatic susceptible-infected-recovered (SIR) model, are often studied by mapping the model to bond percolation. However, the conditions under which this identification is justified have not been fully understood, except in specific cases. Here, we systematic...
The Susceptible–Infectious–Susceptible (SIS) model is a classical model for describing the spread of diseases without permanent immunity and has been studied by many authors. In this paper, we characterize all topologically distinct phase portraits in the Poincaré disc for a particular SIS epidemic model with a constan...
J. Llibre, Hui Zeng· International Journal of Bif...· 0 citations
This study proposes a susceptible-infectious-recovered (SIR) network model that incorporates a general recovery rate and a saturation treatment function, and establishes the well-posedness and global stability of the disease-free equilibrium in the model by employing semigroup theory and the standard comparison princip...
Jun-Yuan Yang, Maia Martcheva, Jun Zhang et al.· SIAM Journal on Applied Math...· 0 citations
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