Our basic question is: Given a collection of DNA sequences, what underlying forces are
responsible for the observed patterns of variability? To approach this question we introduce …

Much of population genetics is based on the diffusion limit of the Wright–Fisher model, which
assumes a fixed population size. This assumption is violated in most natural populations …

Abstract Systems composed of large numbers of interacting agents often admit an effective
coarse-grained description in terms of a multidimensional stochastic dynamical system …

Deterministic descriptions of dynamics of competing species with identical carrying
capacities but distinct birth, death, and reproduction rates predict steady state coexistence …

The distributed genome hypothesis states that the set of genes in a population of bacteria is
distributed over all individuals that belong to the specific taxon. It implies that certain genes …

Near the beginning of the last century, RA Fisher and Sewall Wright devised an elegant,
mathematically tractable model of gene reproduction and replacement that laid the …

Frequency-dependent selection reflects the interaction between different species as they
battle for limited resources in their environment. In a stochastic evolutionary game the …

We introduce a continuous time Markov chain to model the ecological competition in the
population of 3 species with fitness governed by a modified Moran process based on …

Demographic stochasticity, the random fluctuations arising from the intrinsic discreteness of
populations and the uncertainty of individual birth and death events, is an essential feature …