The effect of Hieder´s Balance theory on the dynamics of epidemic models

  • Talk

  • Meghdad Saeedian
  • Shahid Beheshti University, Iran
  • June 14, 2017, 2:30 p.m.
  • IFISC Seminar Room
  • Announcement file

The type of relation between individuals can be affected by the occurrence of spreading disease in a society: A “friendly” contact may be turned to “unfriendly” to avoid infection. On the other hand the change in the type of relations can provide conflict between the individuals. This conflicts have been modelled by Hieder´s balance theory which is a psychological emergence arise from the relation of individuals. In this work we combine the Hieder´s Balance theory and susceptible infected model in order to observe the propagation of disease on the network. We introduce an energy function to distinguish between the balance and unbalance triplet relations and carry out Monte Carlo simulations on complete networks to test the energy landscape, where we find local minima corresponding to the so-called jammed states. We observe the network is divided in to the two and three clusters in order to slow down the disease. Moreover we study the effect of the ratio of initial friendly to unfriendly connections on the propagation of disease. The steady state can be balanced or a jammed state such that a coexistence occurs between susceptible and infected nodes in the system.


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Llorenç Serra

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