34 citations · 47 across the 5 of their papers we have counts for
5 papers
Exact results for a simple epidemic model on a directed network: Explorations of a system in a non-equilibrium steady state
Maxim S. Shkarayev, R. K. P. Zia
Motivated by fundamental issues in non-equilibrium statistical mechanics (NESM), we study the venerable susceptible-infected (SIS) model of disease spreading in an idealized, simpl…
Asymptotically inspired moment-closure approximation for adaptive networks
Maxim S. Shkarayev, Leah B. Shaw
Adaptive social networks, in which nodes and network structure co-evolve, are often described using a mean-field system of equations for the density of node and link types. These e…
Recruitment dynamics in adaptive social networks
Maxim S. Shkarayev, Ira B. Schwartz, Leah B. Shaw
We model recruitment in adaptive social networks in the presence of birth and death processes. Recruitment is characterized by nodes changing their status to that of the recruiting…
New Bisoltion Solutions in Dispersion Managed Systems
M. Shkarayev, M. G. Stepanov
In this paper we propose a method which provides a full description of solitary wave solutions of the Schroedinger equation with periodically varying dispersion. This method is bas…
Twin Families of Bisolitons in Dispersion Managed Systems
Ildar Gabitov, Robert Indik, Pavel Lushnikov +2
We calculate bisoliton solutions using a slowly varying stroboscopic equation. The system is characterized in terms of a single dimensionless parameter. We find two branches of sol…