Results 31 to 40 of about 45,664 (293)

Regular Attractor by Strict Lyapunov Function for Random Dynamical Systems

Wasit Journal for Pure Sciences
The main objective of this paper is to study some types of random attractors in random dynamical systems based on the random strict Lyapunov   function.
Hind Adnan Hashim
doaj   +1 more source

Asymptotic behavior of plate equations with memory driven by colored noise on unbounded domains

AIMS Mathematics, 2022
The paper investigates mainly the asymptotic behavior of the non-autonomous random dynamical systems generated by the plate equations with memory driven by colored noise defined on $ \mathbb{R}^n $. Firstly, we prove the well-posedness of the equation in
Xiao Bin Yao, Chan Yue
doaj   +1 more source

Model of phenotypic evolution in hermaphroditic populations [PDF]

, 2013
We consider an individual based model of phenotypic evolution in hermaphroditic populations which includes random and assortative mating of individuals.
Rudnicki, Ryszard, Zwoleński, Paweł
core   +2 more sources

Asymptotic behaviour of random tridiagonal Markov chains in biological applications

, 2012
Discrete-time discrete-state random Markov chains with a tridiagonal generator are shown to have a random attractor consisting of singleton subsets, essentially a random path, in the simplex of probability vectors.
A. E. Hutzenthaler, A. Leizarowitz, B. Noble, B. S. Thomson, D. J. Hartfiel, D. J. Hartfiel, D. N. Cheban, D. Wodarz, E. Asarin, H. Cohn, I. Chueshov, I. Chueshov, J. Wolfowitz, J.-P. Aubin, L. Arnold, L. J. S. Allen, M. A. Krasnosel$'$skij, M. F. Barnsley, M. Neumann, P. E. Kloeden, P. Imkeller, P. J. Bushell   +21 more
core   +1 more source

Central limit theorem for a class of globally correlated random variables [PDF]

, 2016
The standard central limit theorem with a Gaussian attractor for the sum of independent random variables may lose its validity in presence of strong correlations between the added random contributions.
Budini, Adrian A.
core   +2 more sources

Speciation Through the Lens of Population Dynamics: A Theoretical Primer on How Small and Large Populations Diverge

Population Ecology, EarlyView.
Population size and dynamics fundamentally shape speciation by influencing genetic drift, founder events, and adaptive potential. Small populations may speciate rapidly due to stronger drift, whereas large populations harbor more genetic diversity, which can alter divergence trajectories. We highlight theoretical models that incorporate population size
Ryo Yamaguchi, Hidaka Kubo, Tokuya Ogawa, Hayate Omura   +3 more
wiley   +1 more source

Random exponential attractor for a class of non-autonomous stochastic lattice systems

Electronic Research Archive
The purpose of this paper was to discuss the existence of a random exponential attractor for non-autonomous coupled Klein-Gordon-Schrödinger (KGS) lattice equations with multiplicative noise. We employed the method of estimation on the tails of solutions
Ailing Ban
doaj   +1 more source

Gradient Infinite-Dimensional Random Dynamical Systems [PDF]

, 2012
In this paper we introduce the concept of a gradient random dynamical system as a random semiflow possessing a continuous random Lyapunov function which describes the asymptotic regime of the system.
Caraballo Garrido, Tomás, Langa Rosado, José Antonio, Liu, Zenxhin   +2 more
core   +1 more source

From omics to AI—mapping the pathogenic pathways in type 2 diabetes

FEBS Letters, EarlyView.
Integrating multi‐omics data with AI‐based modelling (unsupervised and supervised machine learning) identify optimal patient clusters, informing AI‐driven accurate risk stratification. Digital twins simulate individual trajectories in real time, guiding precision medicine by matching patients to targeted therapies.
Siobhán O'Sullivan, Lu Qi, Pierre Zalloua   +2 more
wiley   +1 more source

Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains

Abstract and Applied Analysis, 2014
We prove the existence of a pullback attractor in L2(ℝn) for the stochastic Ginzburg-Landau equation with additive noise on the entire n-dimensional space ℝn.
Qiuying Lu, Guifeng Deng, Weipeng Zhang
doaj   +1 more source