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5 papers · 2 filters
Non-stationary Markovian Replication Process causing Diverse Diffusions
Yichul Choi, Hyun-Joo Kim
We introduce a single generative mechanism with which it is able to describe diverse non-stationary diffusions. A non-stationary Markovian replication process for steps is consider…
Stochastic population dynamics in spatially extended predator-prey systems
Ulrich Dobramysl, Mauro Mobilia, Michel Pleimling +1
Spatially extended population dynamics models that incorporate intrinsic noise serve as case studies for the role of fluctuations and correlations in biological systems. Including…
Coarsening with non-trivial in-domain dynamics: correlations and interface fluctuations
Barton L. Brown, Michel Pleimling
Using numerical simulations we investigate the space-time properties of a system in which spirals emerge within coarsening domains, thus giving rise to non-trivial internal dynamic…
Boundary Effects on Population Dynamics in Stochastic Lattice Lotka-Volterra Models
Bassel Heiba, Sheng Chen, Uwe C. Täuber
We investigate spatially inhomogeneous versions of the stochastic Lotka-Volterra model for predator-prey competition and coexistence by means of Monte Carlo simulations on a two-di…
A stochastic analysis of the spatially extended May-Leonard model
Shannon R. Serrao, Uwe C. Täuber
Numerical studies of the May-Leonard model for cyclically competing species exhibit spontaneous spatial structures in the form of spirals. It is desirable to obtain a simple coarse…