Aug 2026· Chaos· Vol 36 8· 0 citations· 40 references
Medicine
Abstract
In this paper, the complex epidemic behavior of higher-order interactions is investigated by considering heterogeneous hypernetworks with collective contagion mechanisms, and a susceptible-infected-recovered-susceptible epidemic model is established in hypernetworks. First, we propose a mean-field model in heterogeneous hypernetworks based on hyperdegree and conduct analyses of this model. For general heterogeneous hypernetworks, we determine the epidemic threshold for disease spread and the threshold for the emergence of backward bifurcation, performing comprehensive dynamical analyses. Specifically, in a heterogeneous hypernetwork where the hyperedge size does not exceed 4, the existence of endemic equilibria is examined, and conditions for the system possessing a varying number of endemic equilibria are provided. By analyzing the model, we identify three types of bifurcations and two distinct bistable phenomena. Finally, theoretical predictions are confirmed through numerical simulations.
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 an...
Saba Samadi, José I. Caiza, Sebin Gracy et al.· 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
In this paper, we consider a time-periodic nonlocal dispersal susceptible-infected-susceptible (SIS) epidemic model with saturated incidence and Neumann boundary conditions in a spatiotemporally heterogeneous environment. First, we define the basic reproduction number for the model, which depends on dispersal rates, to...
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
We incorporate stochastic fluctuations into an epidemic-behavior coevolution model and study its threshold dynamics and stationary distributions. By introducing the stochastic basic reproduction number R0σ, the behavioral threshold d, and two potential infection proportions RPσ,1 and RPσ,2, we establish conditions for...
Huan Yang, Sanyi Tang, Lin Wang· Journal of Theoretical Biolo...· 0 citations
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