Referring to additive demand models, the Stochastic User Equilibrium can be formulated in the reduced space of travel alternative generalized costs as a fixed point problem defined on R , where n is the number of travel alternatives minus the number of user classes. Through the analysis of an equivalent non-linear program, a new sufficient condition for the uniqueness of the solution to a gener...

A diffusive Holling–Tanner predator–prey model with no-flux boundary condition is considered, and it is proved that the unique constant equilibrium is globally asymptotically stable under a new simpler parameter condition. © 2011 Elsevier Ltd. All rights reserved.

The evolution of demographic characteristics is considered in terms of the density-dependent Lefkovitch matrix model, which describes a species' population dynamics with a stage-specific pattern of reproduction and mortality. We obtain the invadability condition of a mutant-type into the wild-type population at the equilibrium state. The condition depends on the left and right eigenvectors at t...

in this paper, a five–dimensional mathematical model is proposed for the transmission dynamics of hiv/aids within a population of varying size. in writing the model, we have divided the population under consideration into five sub classes of susceptible, infective, pre-aids, aids related complex and that of aids patients. the model has two non- negative equilibria namely, a disease free and the...

We present a purely theoretical study of the morphological evolution of self-gravitating systems formed through the dissipation-less collapse of N point sources. We explore the effects of resolution in mass and length on the growth of triaxial structures formed by an instability triggered by an excess of radial orbits. We point out that as resolution increases, the equilibria shift, from mildly...

This paper studies equilibrium refinements in signaling games through an examination of rationalizability in derived games obtained by replacing the equilibrium path with a sure outcome that yields the equilibrium payoff to ail players. The informed player chooses between the sure payoff and sending an out-of-equilibrium signal from the original game. Whether or not the strategy of choosing the...

We report results from an experiment that explores the empirical validity of correlated equilibrium, an important generalization of Nash equilibrium. Specifically, we examine the conditions under which subjects playing the game of Chicken will condition their behavior on private third–party recommendations drawn from publicly– announced distributions. We find that when recommendations are given...

in the market for factors of production usually the equilibrium will be stablished on the based of the equality between the value of marginal products of output and their relative price level. on the other hand the value of marginal product of output is a function of observed rate productivity of output and the market capacity of factors of production. thus the fluctuation in the rate of produc...