In the present paper a generalized Lotka-Volterra food chain system has been studied and also its dynamic behavior such as locally asymptotic stability has been analyzed in case of existing interspecies competition. Furthermore, it has been shown that the said system is permanent (in the sense of boundedness and uniformly persistent). Finally, it is proved that the nontrivial equilibrium point...

Prions are "infectious" proteins. When Sup35, a yeast translation termination factor, is aggregated in its [PSI(+)] prion form its function is compromised. When Rnq1 is aggregated in its [PIN(+)] prion form, it promotes the de novo appearance of [PSI(+)]. Heritable variants (strains) of [PSI(+)] with distinct phenotypes have been isolated and are analogous to mammalian prion strains with differ...

WOOLSON, ROBERT FRANCIS. Some Alternative Measures of Asymptotic Relative Efficiency for the Multiparameter Testing Problem with Application to the Growth Curve Problem. (Under the direction of PRANAB KUMAR SEN.) Criteria for evaluating the loss in underfitting"or overfitting a growth curve model are proposed. This problem has been formulated as one of comparing two test statistic sequences whi...

Custard pudding gels were prepared from fresh whole egg, milk and sugar. The effects of D-psicose (Psi), a non-calorie rare hexose, on the antioxidative activity and rheological properties of the custard pudding gels were investigated at different temperatures for comparison with those of control sugars (sucrose, Suc; D-fructose, Fru). The rheological behavior of the heat-induced pudding gels w...

In a seminal paper, Page found the exact formula for average entanglement entropy pure random state. We consider analogous problem ensemble of fermionic Gaussian states, which plays crucial role in context free Hamiltonians. Using recent results from matrix theory, we show that states subsystem $N_A$ out $N$ degrees freedom is given by $\langle S_A\rangle_\mathrm{G}\!=\!(N\!-\!\tfrac{1}{2})\Psi...

The purpose of the paper is to discuss ten things potential users should know about the limits of the Dynamic Conditional Correlation (DCC) representation for estimating and forecasting time-varying conditional correlations. The reasons given for caution about the use of DCC include the following: DCC represents the dynamic conditional covariances of the standardized residuals, and hence does n...

We study a new technique for the asymptotic analysis of heavy-tailed systems conditioned on large deviations events. We illustrate our approach in the context of ruin events of multidimensional regularly varying random walks. Our approach is to study the Markov process described by the random walk conditioned on hitting a rare target set. We construct a Markov chain whose transition kernel can ...

The purpose of the paper is to discuss ten things potential users should know about the limits of the Dynamic Conditional Correlation (DCC) representation for estimating and forecasting time-varying conditional correlations. The reasons given for caution about the use of DCC include the following: DCC represents the dynamic conditional covariances of the standardized residuals, and hence does n...