Using an LMI (linear matrix inequality) optimization approach, a stability criterion is obtained for the local stability of the positive equilibrium of a Lotka–Volterra system with delays. © 2004 Elsevier Ltd. All rights reserved.

We study the spectrum of a positive matrix that arises in the study of certain communication networks. Bounds are given on the rate of convergence of the networks to the equilibrium condition.

It is proved that if it is NP-hard to solve the linear complemen-tarity problemwith P-matrix or to compute a Nash-equilibrium point in a 2-player game, then NP = coNP.

and Applied Analysis 3 One can see that boundary equilibrium E 2 , if exists, is an unstable hyperbolic node. The Jacobian matrix of system (4) at E 3 is

The lattice gas model in equilibrium is considered. We give a lower bound of the density-density time correlation for large time, which involves the bulk diffusion matrix in a physically natural way.

We consider a financial market in which traders potentially face restrictions trading some of the available securities. Traders are heterogeneous with respect to their beliefs and risk profiles, is assumed thin: strategically trade against price impacts. prove existence uniqueness corresponding equilibrium, provide an efficient algorithm numerically obtain equilibrium prices allocations given m...

It is proved that if it is NP hard to solve the linear complemen tarity problemwith P matrix or to compute a Nash equilibrium point in a player game then NP coNP

a total of 148 groundwater samples were collected from bore wells from thirumanimuttar sub-basin for two seasons to identify major geochemical process activated to alter groundwater chemistry. the study revealed relationships with the lithology and anthropogenic process. groundwater in the region was dominated by na – ca – mg and cl and hco3 types. the (ca +mg) versus tz+ plot for both seas...