Double transitions and hysteresis in heterogeneous contagion processes
arXiv:2104.09070 · doi:10.1103/PhysRevE.104.044306
Abstract
In many real-world contagion phenomena, the number of contacts to spreading entities for adoption varies for different individuals. Therefore, we study a model of contagion dynamics with heterogeneous adoption thresholds. We derive mean-field equations for the fraction of adopted nodes and obtain phase diagrams in terms of the transmission probability and fraction of nodes requiring multiple contacts for adoption. We find a double phase transition exhibiting a continuous transition and a subsequent discontinuous jump in the fraction of adopted nodes because of the heterogeneity in adoption thresholds. Additionally, we observe hysteresis curves in the fraction of adopted nodes owing to adopted nodes in the densely connected core in a network.
arXiv comment7 pages, 5 figures
References in corpus (23)
- Epidemic spreading in scale-free networks
- Epidemic processes in complex networks
- The spread of epidemic disease on networks
- k-core organization of complex networks
- Universal behavior in a generalized model of contagion
- Bootstrap Percolation on Complex Networks
- Threshold cascades with response heterogeneity in multiplex networks
- A Generalized Epidemic Process and Tricritical Dynamic Percolation
- Heterogeneous-k-core versus Bootstrap Percolation on Complex Networks
- Dynamics of social contagions with heterogeneous adoption thresholds: Crossover phenomena in phase transition
- Fundamental properties of cooperative contagion processes
- Multiple resource demands and viability in multiplex networks
- Competing contagion processes: Complex contagion triggered by simple contagion
- The Impact of Heterogeneous Thresholds on Social Contagion with Multiple Initiators
- Tricritical point in heterogeneous k-core percolation
- Interacting contagions are indistinguishable from social reinforcement
- Competition of simple and complex adoption on interdependent networks
- Message-passing theory for cooperative epidemics
- First-order phase transitions in outbreaks of co-infectious diseases and the extended general epidemic process
- Asymmetric percolation drives a double transition in sexual contact networks
- Competition and dual users in complex contagion processes
- Two golden times in two-step contagion models
- Role of hubs in the synergistic spread of behavior