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pro vyhledávání: '"60K35, 92D15"'
We present a lookdown construction for a Moran seed-bank model with variable active and inactive population sizes and we show that the empirical measure of our model coincides with that of the Seed-Bank-Moran Model with latency of Greven, den Holland
Externí odkaz:
http://arxiv.org/abs/2305.12489
Publikováno v:
Electron. J. Probab. 28: 1-37 (2023)
Consider a population of $N$ individuals, each of them carrying a type in $\mathbb N_0$. The population evolves according to a Moran dynamics with selection and mutation, where an individual of type $k$ has the same selective advantage over all indiv
Externí odkaz:
http://arxiv.org/abs/2211.13109
Autor:
Bartoszek, Krzysztof
Publikováno v:
Mathematica Applicanda (Matematyka Stosowana) 47(1): 93-102, 2019
We consider a hybrid method to simulate the return time to the initial state in a critical-case birth--death process. The expected value of this return time is infinite, but its distribution asymptotically follows a power-law. Hence, the simulation a
Externí odkaz:
http://arxiv.org/abs/1907.10117
Autor:
Martinsson, Anders
Inspired by biological evolution, we consider the following so-called accessibility percolation problem: The vertices of the unoriented $n$-dimensional binary hypercube are assigned independent $U(0, 1)$ weights, referred to as fitnesses. A path is c
Externí odkaz:
http://arxiv.org/abs/1501.02206
Autor:
Zwoleński, Paweł
We present an individual-based model of phenotypic trait evolution in two-sex populations, which includes semi-random mating of individuals of the opposite sex, natural death and intra-specific competition. By passing the number of individuals to inf
Externí odkaz:
http://arxiv.org/abs/1408.5587
We investigate the behaviour of the genealogy of a Wright-Fisher population model under the influence of a strong seed-bank effect. More precisely, we consider a simple seed-bank age distribution with two atoms, leading to either classical or long ge
Externí odkaz:
http://arxiv.org/abs/1403.2925
Autor:
Rudnicki, Ryszard, Zwoleński, Paweł
We consider an individual based model of phenotypic evolution in hermaphroditic populations which includes random and assortative mating of individuals. By increasing the number of individuals to infinity we obtain a nonlinear transport equation, whi
Externí odkaz:
http://arxiv.org/abs/1309.3243
Autor:
Pfaffelhuber, Peter, Vogt, Benedikt
Evolutionary models for populations of constant size are frequently studied using the Moran model, the Wright-Fisher model, or their diffusion limits. When evolution is neutral, a random genealogy given through Kingman's coalescent is used in order t
Externí odkaz:
http://arxiv.org/abs/1207.6721
Autor:
Dawson, Donald A., Greven, Andreas
We study two types of stochastic processes, a mean-field spatial system of interacting Fisher-Wright diffusions with an inferior and an advantageous type with rare mutation (inferior to advantageous) and a (mean-field) spatial system of supercritical
Externí odkaz:
http://arxiv.org/abs/1007.5462
Autor:
Ferriere, Regis, Tran, Viet Chi
Publikováno v:
ESAIM: Proceedings 27 (2009) 289--310
Understanding how stochastic and non-linear deterministic processes interact is a major challenge in population dynamics theory. After a short review, we introduce a stochastic individual-centered particle model to describe the evolution in continuou
Externí odkaz:
http://arxiv.org/abs/0809.3767