In this paper we study the equilibrium and the non-equilibrium systems of multicomponent chromatography. An a-priori estimate of the upwind scheme approximating the equilibrium is proved, where we get the uniform bound and the total variation bound of the finite difference scheme. A similar estimate is also proved for a semiimplicit upwind scheme approximating the non-equilibrium system, where ...

The theory of island biogeography (TIB) predicts that species richness in isolated areas is determined by the processes colonization and extinction, and, turn, governed size isolation. Metacommunity models extend TIB, predicting both habitat interactions are important drivers community vital rates structure, marine metacommunities will exhibit higher extinction/colonization relative to terrestr...

I propose a stochastic SIS and SIRS system to include a Poisson measure term to model anomalies in the dynamics. In particular, the positive integrand in the Poisson term is intended to model quarantine. Conditions are given for the stability of the disease free equilibrium for both systems.

A rigorous analysis is presented in order to show that, in presence of friction, the upward equilibrium position of the vertically driven pendulum, with a small non-vanishing damping term, becomes asymptotically stable when the period of the forcing is below an appropriate threshold value. As a byproduct we obtain an analytic expression of the solution for initial data close enough to the equil...

purpose: to compare the effects of short-tem and long-term systemic corticosteroids in the treatment of confirmed ocular toxoplasmosis. methods: this randomized comparative clinical trial was performed on 69 patients with confirmed active ocular toxoplasmosis with typical clinical manifestations. the subjects were randomly assigned to receive either 10 days (group a, 33 cases) or 4-6 weeks (gro...