Publications (12)
Multistage onset of epidemics in heterogeneous networks
Chao-Ran Cai, Zhi-Xi Wu, Petter Holme
We develop a theory for the susceptible-infected-susceptible (SIS) epidemic model on networks that incorporate both network structure and dynamic correlations. This theory can acco…
Solving the Dynamic Correlation Problem of the Susceptible-Infected-Susceptible Model on Networks
Chao-Ran Cai, Zhi-Xi Wu, Michael Z. Q. Chen +2
The Susceptible-Infected-Susceptible model is a canonical model for emerging disease outbreaks. Such outbreaks are naturally modeled as taking place on networks. A theoretical chal…
Emergence of Cooperation in Two-agent Repeated Games with Reinforcement Learning
Zhen-Wei Ding, Guo-Zhong Zheng, Chao-Ran Cai +4
Cooperation is the foundation of ecosystems and the human society, and the reinforcement learning provides crucial insight into the mechanism for its emergence. However, most previ…
Cooperation in Public Goods Games: Leveraging Other-Regarding Reinforcement Learning on Hypergraphs
Bo-Ying Li, Zhen-Na Zhang, Guo-Zhong Zheng +3
Cooperation as a self-organized collective behavior plays a significant role in the evolution of ecosystems and human society. Reinforcement learning (RL) offers a new perspective,…
The nature of epidemic criticality in temporal networks
Chao-Ran Cai, Yuan-Yuan Nie, Petter Holme
Analytical studies of network epidemiology almost exclusively focus on the extreme situations where the time scales of network dynamics are well separated (longer or shorter) from…
The effect of role-based resource allocation on epidemic dynamics
Hao-Xiang Jiang, Chao-Ran Cai, Ji-Qiang Zhang +1
We propose a coupled dynamical model of resource allocation and epidemic spread, inspired by the hierarchical structure of real-world therapeutic resource allocation. In this frame…
The universality of physical images at relative timescales on multiplex networks
Xin Chang, Chao-Ran Cai, Ji-Qiang Zhang +1
The duration of the accumulation rate (physical image) is a key factor in analysis of counterintuitive phenomena involving relative timescales on multiplex networks. Typically, the…
Dual Reinforcement Learning Synergy in Resource Allocation: Emergence of Self-Organized Momentum Strategy
Zhen-Na Zhang, Guo-Zhong Zhen, Li Chen +4
In natural ecosystems and human societies, self-organized resource allocation and policy synergy are ubiquitous and significant. This work focuses on the synergy between Dual Reinf…
Coexistence of positive and negative information in information-epidemic dynamics on multiplex networks
Li-Ying Liu, Chao-Ran Cai, Si-Ping Zhang +1
This paper investigates the coexistence of positive and negative information in the context of information-epidemic dynamics on multiplex networks. In accordance with the tenets of…
Emergence of anti-coordinated patterns in snowdrift game by reinforcement learning
Zhen-Wei Ding, Ji-Qiang Zhang, Guo-Zhong Zheng +4
Patterns by self-organization in nature have garnered significant interest in a range of disciplines due to their intriguing structures. In the context of the snowdrift game (SDG),…
Behavior of susceptible-vaccinated--infected--recovered epidemics with diversity in the infection rate of the individuals
Chao-Ran Cai, Zhi-Xi wu, Jian-Yue Guan
We study a susceptible-vaccinated--infected--recovered (SVIR) epidemic-spreading model with diversity of infection rate of the individuals. By means of analytical arguments as well…
Correlation between transition probability and network structure in epidemic model
Chao-Ran Cai, Dong-Qian Cai
In discrete-time dynamics, it is frequently assumed that the transition probabilities (e.g., the recovery probability) are independent of the network structure. However, there is a…