Results 11 to 20 of about 318 (63)
Asymptotic results on the length of coalescent trees [PDF]
, 2007 We give the asymptotic distribution of the length of partial coalescent trees for Beta and related coalescents. This allows us to give the asymptotic distribution of the number of (neutral) mutations in the partial tree. This is a first step to study the
Delmas, Jean-François +2 more
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Joint densities of first hitting times of a diffusion process through two time dependent boundaries [PDF]
, 2014 Consider a one dimensional diffusion process on the diffusion interval $I$ originated in $x_0\in I$. Let $a(t)$ and $b(t)$ be two continuous functions of $t$, $t>t_0$ with bounded derivatives and with $a(t)t_0$. We study the joint distribution of the two
Sacerdote, Laura +2 more
core +1 more source
Time to a single hybridization event in a group of species with unknown ancestral history
, 2012 We consider a stochastic process for the generation of species which combines a Yule process with a simple model for hybridization between pairs of co-existent species.
Bartoszek, Krzysztof +3 more
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Domain of attraction of quasi-stationary distribution for one-dimensional diffusions
, 2016 We study quasi-stationarity for one-dimensional diffusions killed at 0, when 0 is a regular boundary and $+\infty$ is an entrance boundary. We give a necessary and sufficient condition for the existence of exactly one quasi-stationary distribution, and ...
He, Guoman, Zhang, Hanjun
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The branching process with logistic growth [PDF]
, 2005 In order to model random density-dependence in population dynamics, we construct the random analogue of the well-known logistic process in the branching process' framework.
Lambert, Amaury
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, 2013 An $N$-particle system with stochastic interactions is considered. Interactions are driven by a Brownian noise term and total energy conservation is imposed.
Elskens, Yves, Ribeiro, Bruno Vieira
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Computational and Mathematical BiophysicsIn this article, we study a fractional-order prey-predator model incorporating prey refuge and predator harvesting, employing a Holling type III functional response.
Aguegboh Nnaemeka Stanley +5 more
doaj +1 more source
Drift rate control of a Brownian processing system
, 2005 A system manager dynamically controls a diffusion process Z that lives in a finite interval [0,b]. Control takes the form of a negative drift rate \theta that is chosen from a fixed set A of available values.
Ata, Bar, Harrison, J. M., Shepp, L. A.
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Diffusion limit for many particles in a periodic stochastic acceleration field
, 2008 The one-dimensional motion of any number $\cN$ of particles in the field of many independent waves (with strong spatial correlation) is formulated as a second-order system of stochastic differential equations, driven by two Wiener processes. In the limit
Elskens, Yves, Pardoux, Etienne
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Computational and Mathematical BiophysicsInfectious illnesses like hepatitis place a heavy cost on global health, and precise mathematical models must be created in order to understand and manage them.
Aguegboh Nnaemeka S. +4 more
doaj +1 more source