Game theory is one of the key paradigms behind many scientific disciplines from biology to
behavioral sciences to economics. In its evolutionary form and especially when the …

To derive the consequence of heritable traits of individual organisms upon the feature of
their populations, the lattice Lotka-Volterra model is studied which is defined as a Markov …

We propose a stochastic lattice gas model to describe the dynamics of two animal species
populations, one being a predator and the other a prey. This model comprehends the …

The spatial rock-scissors-paper game (or cyclic Lotka–Volterra system) is extended to study
how the spatiotemporal patterns are affected by the rewired host lattice providing uniform …

We study the evolution of a system of N interacting species which mimics the dynamics of a
cyclic food chain. On a one-dimensional lattice with N< 5 species, spatial inhomogeneities …

By computer simulations, the spatial pattern in a voter system or an ecosystem is studied.
This system consists of three candidates whose competitive power are as defined in the well …

A five-species predator-prey model is studied on a square lattice where each species has
two prey and two predators on the analogy to the rock-paper-scissors-lizard-Spock game …

The emergency of mutual cooperation is studied in a spatially extended evolutionary
prisoner's dilemma game in which the players are located on the sites of cubic lattices for …

Social norms have a profound influence on the perception of vaccination. People's attitudes
toward vaccination reflect their inherent recognition of the trade-off between vaccine …

Monte Carlo simulations and dynamical mean-field approximations are performed to study
the phase transitions in the rock-scissors-paper game on different host networks. These …