In the dynamic floor field model, the bosons are homogeneous. This causes a problem that the pedestrians are confused by their own traces. The model has been modified by the heterogeneous bosons. Compared with the dynamic floor field model based on the homogeneous bosons, the modified model...

A model of tumor–immune system interplay with time delays and cross-correlated sine-Wiener noises is investigated by numerical simulations for the stationary probability distribution (SPD) and stationary mean value 〈x〉st of tumor cell population. Results show that (i) the structure of the...

Stochastic resonance (SR) induced by the bounded noise in an asymmetric bistable system is investigated. Based on stochastic simulation, the signal power amplification SPA is derived for the case of the additive modulated signal. The simulation results indicate that: (1) the SR phenomenon is...

Immunotherapy is one of the most recent approaches in cancer therapy. A mathematical model of tumor–immune interaction, subject to a periodic immunotherapy treatment (imitated by a periodic signal), correlative and bounded stochastic fluctuations and time delays, is investigated by numerical...

The transport properties of an active Brownian particle with a time-delayed feedback and an external bias are investigated theoretically. By virtue of the perturbation theory for small delay, analytical expressions for the mean velocity and effective diffusion coefficient are derived. There...

In this paper, we study two models of network evolution and give more realistic descriptions of the local processes than Barabási–Albert model, incorporating the addition of new nodes, the addition of new links, the rewiring and deleting of links. To random networks model with single (or...

Quantum strategies are introduced into evolutionary games. The agents using quantum strategies are regarded as invaders, whose fraction generally is 1% of a population, in contrast to the 50% of the population that are defectors. In this paper, the evolution of strategies on networks is...

Research on precursory information about the scale invariance of seismicity before large earthquakes has been an interesting topic for geophysicists in recent years. However, in some cases, it is difficult to capture this precursory information. Our study results show that seeking a pertinent...