Stochastic spatial models
Copyright policy )Stochastic spatial models
The author considers a spatial model with the space represented as a grid of sites that can be in one of a finite number of states. The site changes its state with a rate that depends on states of a finite number of sites. Assuming that sites are independent, the behaviour of such models can be studied with the help of mean field ordinary differential equations which describe the evolution of densities of various types [see \textit{R. Durrett} and \textit{S. Levin}, Theor. Popul. Biol. 46, No. 3, 363-394 (1994; Zbl 0846.92027)]. The author considers a number of examples (e.g., from population biology) for which the solution of the mean field ODE has one or two attracting points or a periodic orbit.
- Cornell University United States
Ecology, Epidemiology, contact process, evolutionary games, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Interacting random processes; statistical mechanics type models; percolation theory, epidemics, Population dynamics (general), reaction-diffusion equations, stepping stone model, predator-prey system, interacting particle system
Ecology, Epidemiology, contact process, evolutionary games, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Interacting random processes; statistical mechanics type models; percolation theory, epidemics, Population dynamics (general), reaction-diffusion equations, stepping stone model, predator-prey system, interacting particle system
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).150 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 1% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!