Results 11 to 20 of about 324 (56)
Adaptive dynamics in logistic branching populations [PDF]
We consider a trait-structured population subject to mutation, birth and competition of logistic type, where the number of coexisting types may fluctuate.
Champagnat, Nicolas, Lambert, Amaury
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Coexistence for a kind of stochastic three-species competitive models
The coexistence of species sustains the ecological balance in nature. This paper focuses on sufficient conditions for the coexistence of a three-species stochastic competitive model, where the model has non-linear diffusion parts.
Huang Nantian+3 more
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The limit properties diffusion process in a semi-Markov environment
In this paper we consider the stochastic diffusion process with semi-Markov switchings in an averaging scheme. We present results and conditions on convergence to the classic diffusion process, in case with semi-Markov process perturbation is uniformly ...
Y. Chabanyuk, W. Rosa
semanticscholar +1 more source
Diffusive propagation of wave packets in a fluctuating periodic potential [PDF]
We consider the evolution of a tight binding wave packet propagating in a fluctuating periodic potential. If the fluctuations stem from a stationary Markov process satisfying certain technical criteria, we show that the square amplitude of the wave ...
A. Amir+12 more
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Joint densities of first hitting times of a diffusion process through two time dependent boundaries [PDF]
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
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We consider the motion of a Brownian particle in $\mathbb{R}$, moving between a particle fixed at the origin and another moving deterministically away at slow speed $\epsilon>0$. The middle particle interacts with its neighbours via a potential of finite
Allman, Michael, Betz, Volker
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Syphilis, a sexually transmitted infectious disease caused by the bacterium treponema pallidum, has re-emerged as a global public health issue with an estimated 12 million people infected each year.
Wenjun Jing+3 more
doaj
Equilibria and Quasi-Equilibria for Infinite Collections of Interacting Fleming-Viot Processes
In this paper of infinite systems of interacting measure-valued diffusions each with state space ¿^([O, 1]), the set of probability measures on [0, 1], is constructed and analysed (Fleming-Viot systems).
D. Dawson, A. Greven, J. Vaillancourt
semanticscholar +1 more source
Exponential convergence to quasi-stationary distribution for absorbed one-dimensional diffusions with killing [PDF]
This article studies the quasi-stationary behaviour of absorbed one-dimensional diffusion processes with killing on $[0,\infty)$. We obtain criteria for the exponential convergence to a unique quasi-stationary distribution in total variation, uniformly ...
Champagnat, Nicolas, Villemonais, Denis
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On a formula in diffusion processes in population genetics
A problem of recent interest has been the determination of the average values of certain quantities conditioned upon the fixation (or extinction) of the gene in the population.
C. Holland
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