Fitness potentials and qualitative properties of the Wright-Fisher dynamics

The Wright--Fisher model for class--dependent fitness landscapes

We consider a population evolving under mutation and selection. The genotype of an individual is a word of length l over a finite alphabet. Mutations occur during reproduction, independently on each locus; the fitness depends on the Hamming class (the distance to a reference sequence w∗). Evolution is driven according to the classical Wright– Fisher process. We focus on the proportion of the di...

The Wright-Fisher Model and Genetic Drift

Evolutionary game dynamics in a Wright-Fisher process.

Evolutionary game dynamics in finite populations can be described by a frequency dependent, stochastic Wright-Fisher process. We consider a symmetric game between two strategies, A and B. There are discrete generations. In each generation, individuals produce offspring proportional to their payoff. The next generation is sampled randomly from this pool of offspring. The total population size is...

Exact simulation of the Wright-Fisher diffusion

The Wright-Fisher family of diffusion processes is a class of evolutionary models widely used in population genetics, with applications also in finance and Bayesian statistics. Simulation and inference from these diffusions is therefore of widespread interest. However, simulating a Wright-Fisher diffusion is difficult because there is no known closed-form formula for its transition function. In...

investigation of the electronic properties of carbon and iii-v nanotubes

boron nitride semiconducting zigzag swcnt, $b_{cb}$$n_{cn}$$c_{1-cb-cn}$, as a potential candidate for making nanoelectronic devices was examined. in contrast to the previous dft calculations, wherein just one boron and nitrogen doping configuration have been considered, here for the average over all possible configurations, density of states (dos) was calculated in terms of boron and nitrogen ...