Quasimonotone systems and convergence to equilibrium in a population genetic model

Convergence to equilibrium in competitive Lotka-Volterra and chemostat systems

We study a generalized system of ODE’s modeling a finite number of biological populations in a competitive interaction. We adapt the techniques in [8] and [2] to prove the convergence to a unique stable equilibrium. Résumé. Nous étudions un système généralisé d’équations différentielles modélisant un nombre fini de populations biologiques en interaction compétitive. En adaptant les techniques d...

Convergence to Equilibrium of a Multiscale Model for Suspensions

The convergence to equilibrium of neutral genetic models

This article is concerned with the long time behavior of neutral genetic population models, with fixed population size. We design an explicit, finite, exact, genealogical tree based representation of stationary populations that holds both for finite and infinite types (or alleles) models. We then analyze the decays to the equilibrium of finite populations in terms of the convergence to stationa...

a frame semantic approach to the study of translating cultural scripts in salingers franny and zooey

the frame semantic theory is a nascent approach in the area of translation studies which goes beyond the linguistic barriers and helps us to incorporate cognitive and cultural factors to the study of translation. based on rojos analytical model (2002b), which centered in the frames or knowledge structures activated in the text, the present research explores the various translation problems that...

On convergence to equilibrium in strongly coupled Bogolyubov’s oscillator model

We examine classical Bogolyubov’s model of a particle coupled to a heat bath which consists of infinitely many stochastic oscillators. Bogolyubov’s result [1] suggests that, in the stochastic limit, the model exhibits convergence to thermodynamical equilibrium. It has recently been shown that the system does attain the equilibrium if the coupling constant is small enough [12]. We show that in t...