Anomalous Diffusion in Complex Networks

In the real human society, there are two points that we are interested to consider them in the epidemic process. The first is the memory has a great impact on the evolution of every process related to human societies. Among them, the
evolution of an epidemic is directly related to the individuals’ experiences. Indeed, any real epidemic process is clearly sustained by non-Markovian dynamics: memory effects play an essential role in the spreading of diseases.

The second is collective behavior or macroscopic parameters. In social networks, the relationship between two persons can be affected by a third person. The relationships are balanced if two persons, who are friends, have the same attitude (friendly or unfriendly) toward a third one, otherwise in order to decrease tension, one of them must change his or her attitude or they have to stop their friendship.


– Epidemic spreading on evolving signed networks, M. Saeedian, N. Azimi-Tafreshi, G. R. Jafari, J. Kertesz, Physical Review E 95, 022314 (2017)

– Memory effects on epidemic evolution: The susceptible-infected-recovered epidemic model, M Saeedian, M Khalighi, N Azimi-Tafreshi, GR Jafari, M Ausloos, Physical Review E 95 (2), 022409 (2017)