A boundary preserving numerical algorithm for the Wright-Fisher model with mutation

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

A Wright-Fisher model with indirect selection.

We study a generalization of the Wright-Fisher model in which some individuals adopt a behavior that is harmful to others without any direct advantage for themselves. This model is motivated by studies of spiteful behavior in nature, including several species of parasitoid hymenoptera in which sperm-depleted males continue to mate despite not being fertile. We first study a single reproductive ...

The stationary distribution of a Wright-Fisher diffusion model with general small mutation rates

The stationary distribution of a sample taken from a Wright-Fisher diffusion with general small mutation rates is found using a coalescent approach. The approximation is equivalent to having at most one mutation in the coalescent tree to the first order in the rates. The approach is different from Burden and Tang (2016, 2017) who use a probability flux argument to obtain the same results from a...

The Wright-Fisher Model and Genetic Drift

The Fisher-Wright model with deterministic seed bank and selection

Seed banks are a common characteristics to many plant species, 1 which allow storage of genetic diversity in the soil as dormant seeds for various 2 periods of time. We investigate an above-ground population following a Fisher3 Wright model with selection coupled with a deterministic seed bank assuming 4 the length of the seed bank is kept constant and the number of seeds is large. 5 To assess ...