Disease spreading on complex networks is studied in SIR model. Simulations on empirical complex networks reveal two specific regimes of disease spreading: local containment and epidemic outbreak. The variables measuring the extent of disease spreading are in general characterized by a bimodal...

We discuss here in detail a new analytical random walk approach to calculating the phase diagram for spatially extended systems with multiplicative noise. We use the Anderson localization problem as an example. The transition from delocalized to localized states is treated as a generalized...

We study the dynamical behavior of N trams which move around the tram stops on a cyclic route repeatedly. We present the dynamical model for the cyclic trams. When a tram catches another tram, the tram restarts after delay time Tmin and keeps the minimal time headway Tmin. The distinct dynamical...

Under the formalism of annealed averaging of the partition function, a type of random multifractal measures with the multipliers exponentially distributed is investigated in detail. Branching emerges in the curve of generalized dimensions, and negative values of generalized dimensions arise....

A multi-phase traffic model is presented to take into account the complex motion of vehicles. The multi-phase model is one of the extended optimal velocity model. The optimal velocity (OV) function is modified to have multi turning points. The original OV model with a single turning point...

The effects of both an exchange anisotropy and a single-ion anisotropy on the phase diagram of the mixed spin-1 and spin-12 Heisenberg model are investigated by the use of an Oguchi approximation. Particular emphasis is given to the simple cubic lattice with coordination number z=6 for which the...

The spin-1/2 Ising model on a square lattice, with fluctuating bond interactions between nearest neighbors and in the presence of a random magnetic field, is investigated within the framework of the effective field theory based on the use of the differential operator relation. The random field...

We study the dynamical behavior of shuttle buses on a route where N buses (N⩾2) shuttle between a starting point and a destination without passing. We present the dynamical model of N shuttle buses to take into account the interactions between buses and passengers. The model is described in...

The ferromagnetic mixed spin-12 and spin-32 Blume–Capel model on the two-fold Cayley tree is investigated using the exact recursion relations. The thermal behavior of magnetizations is studied in detail for different values of the crystal-field interaction Δ and the coordination number q of...

We study the phase diagrams for the Ising model on a Cayley tree-like lattice, called Triangular Chandelier, with competing nearest-neighbour interactions J1, prolonged next-nearest-neighbour interactions Jp and one-level next-nearest-neighbour quadruple interactions Jl1. The phase diagrams...