The response times of the coupled magnetosphere-ionosphere-thermosphere system are, on average, greater than autocorrelation timescales solar wind forcing. This means that is rarely, if ever, in equilibrium. Departures from equilibrium are a key component Expanding-Contracting Polar Cap (ECPC) model convection excitation both magnetosphere and ionosphere, driven by Dungey reconnection cycle ope...

Abstract Various Nash equilibrium results for a broad class of aggregative games are presented. The main ones concern uniqueness. setting presupposes that each player has $$\mathbb {R}_+$$ R + as strategy set, makes smoothness assumptions but allows discontinuity stand-...

In this paper, an SIR epidemic model with an infectious period and a non-linear Beddington-DeAngelis type incidence rate function is considered. The dynamics of this model depend on the reproduction number R0. Accurately, if R0 < 1, we show the global asymptotic stability of the disease-free equilibrium by analyzing the corresponding characteristic equation and using compa...

Geometric programming is a mathematical technique, which has been developed for nonlinear optimization problems. This technique is based on the dual program with linear constraints. Determination of species concentrations in chemical equilibrium conditions is one of its applications in chemistry and chemical engineering fields. In this paper, the principles of geometric programming and its comp...

In this paper, with help of the concept of hyper-rationality, we model the interaction between two investment companies by an important game as trickery game that has special equilibrium which called hyper-equilibrium. In trickery game, one company can choose cooperation with another company until the last moment and finally changes his action to non-cooperation which incur more loss to an oppo...