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Journal of Physical Studies 22(3), Article 3801 [7 pages] (2018)
DOI: https://doi.org/10.30970/jps.22.3801 A MODEL OF RUMORS SPREADING IN THE COMMUNITY WITH OPPORTUNISTIC BEHAVIORAlexei Vasilev
Taras Shevchenko National University of Kyiv, Department of Theoretical Physics |
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In this paper we consider a model that describes rumors spreading process in the social community, whose members tend to opportunistic behavior. The model is based on the assumption that information is spread by agents (the members of the community). There are four possible states for every agent. Namely, an agent can be in the neutral state, which means that the agent doesn't spread information (but potentially can do it). Being in the active state means that the agent is the source of information spreading. In the opportunistic state the agent acts to decrease the influence of those agents which are in the active state. In the relaxation state the agent can't spread information. The agents can make transitions from one state to another. Possible transitions are from the neutral state to the active state or to the opportunistic state, from the active and opportunistic states to the relaxation state, and from the relaxation state to the neutral state. To describe how the transitions are realized, we use a system of nonlinear differential equations. The equations determine how the number of agents in different states changes depending on the current distribution of the agents by states. In particular, transition from the neutral state to the active state is realized due to passing the information from the agents in the active state to the agents in the neutral state. An additional effect of this interaction is the transition of the agents from the neutral state to the opportunistic state. Interaction of the agents in the active and opportunistic states forces the active state agents to transit to the relaxation state. It is shown that a stationary solution exists in the system, and the stationary number of agents in the active state depends nonlinearly on the parameter which characterizes the intensity of the transition from the neutral state to the active state.
PACS number(s): 89.65.-s, 89.75.-k