Effect of mobility in the rock-paper-scissor dynamics with high mortality

In the evolutionary dynamics of a rock-paper-scissor model, the effect of natural death plays a major role in determining the fate of the system. Coexistence, being an unstable fixed point of the model, becomes very sensitive toward this parameter. In order to study the effect of mobility in such a system which has explicit dependence on mortality, we perform Monte Carlo simulation on a two-dimensional lattice having three cyclically competing species. The spatiotemporal dynamics has been studied along with the two-site correlation function. Spatial distribution exhibits emergence of spiral patterns in the presence of mobility. It reveals that the joint effect of death rate and mobility (diffusion) leads to new coexistence and extinction scenarios.

Automated summary

In the rock-paper-scissor model, natural death plays a significant role in determining the fate of the system, especially in relation to coexistence. By conducting Monte Carlo simulations on a two-dimensional lattice with cyclically competing species, the study reveals that the presence of mobility leads to spiral patterns in the spatial distribution and introduces new coexistence and extinction scenarios, emphasizing the joint effect of death rate and mobility.