In this paper an SIS epidemic model with saturated incidence rate and treatment func- tion is proposed and studied. The existence of all feasible equilibrium points is discussed. The local stability conditions of the disease free equilibrium point and endemic equilibrium point are established with the help of basic reproduction number.However the global stabili- ty conditions of these eq...

In this paper, the synchronizability problem of dynamical networks is addressed, where better synchronizability means faster network synchronization with lower vibration. The L2 norm of the error vector e is taken as a performance index to measure this kind of synchronizability. For the equilibrium synchronization case, it is shown that there is a close relationship between the L2 norm of the e...

We consider a model of an information network where nodes can fail and transmission of information is costly. The formation of paths in such networks is modeled as the Nash equilibrium of an N player routing game. The task of obtaining this equilibrium is shown to be NP-Hard. We derive analytical results to identify conditions under which the equilibrium path is congruent to well known paths su...

Extended Thermodynamics of dense gases is characterized by two hierarchies of field equations, which allow one to overcome some restrictions on the generality of the previous models. This idea has been introduced by Arima, Taniguchi, Ruggeri and Sugiyama. In the case of a 14-moment model, they have found the closure of the balance equations up to second order with respect to equilibrium. Here, ...

Metapopulation models and stepping-stone models in genetics are based on very different underlying dispersal structures, yet it can be difficult to distinguish the behaviour of the two kinds of models. We demonstrate a striking qualitative difference in the equilibrium behaviour possible with these two kinds of dispersal. If, in a local patch, there are multiple stable equilibria (and consequen...

Two-player games of billiards, of the sort seen in recent Computer Olympiads held by the International Computer Games Association, are an emerging area with unique challenges for A.I. research. Drawing on the insight gained from our victory in the 2008 ICGA billiards tournament, we define a game-theoretic model of these types of billiards games. The modeling is surprisingly subtle. While sharin...

In this paper, the synchronizability problem of dynamical networks is addressed, where better synchronizability means that the network synchronizes faster with lower-overshoot. The L2 norm of the error vector e is taken as a performance index to measure this kind of synchronizability. For the equilibrium synchronization case, it is shown that there is a close relationship between the L2 norm of...

We propose a new method for 3D-mesh model characteristic view selection. It consists in using the views that come from the equilibrium states of a 3D-model: they correspond to the horizontal plane on which an object is statically laying under the effect of gravity. The selected views are then very intuitive for the user. Indeed, to present a query, the user will take a photo or draw a sketch of...

This paper examines conditions for the uniqueness of an equilibrium price distribution in stochastic macroeconomic models with rational expectations. A model is developed in which many price distributions, each with a finite variance, satisfy the equilibrium requirements of rationality. Hence, the condition that the variance of the equilibrium price distribution be finite, or equivalently, that...

abstract   background: phenol and its compounds are common environmental contaminants, which because of their potential harm to human health, are considered as priority pollutants. in this study, the potential of ostrich feather for phenol removing from aqueous solution was studied. methods: removing the phenol from the aqueous solution was studied via considering the effect of absorbent (0.1, ...