We can discuss not only the extinction, persistence, and permanence in the mean of disease in probability, but also the existence and uniqueness of stationary distribution, the
asymptotical behaviors of solutions of stochastic model (2) around the equilibrium of deterministic model (1), and so forth.
The condition on the communication topology has been proven to be the same as those in the
asymptotical consensus case.
Keywords:
asymptotical stability; 2-D systems; switched systems; state feedback; H [?
In most cases numerical and/or
asymptotical methods must be used.
We proposed that the disease free equilibrium is locally
asymptotical stable under prescribed condition on the given parameters.
Su and Khomami [14] performed both
asymptotical and numerical calculations for Oldroyd-B fluids and gave the most complete results on the interfacial instability for these fluids with constant and shear rate-dependent viscosities.
To the best of our knowledge, very few results on Razumikhin-type uniform
asymptotical stability have been reported for impulsive discrete systems with time delay.
If A is the unobserved ability correlated with earnings by the parameter [phi] and related to education by X = [rho]A + v, then OLS estimation of (4) results in the usual
asymptotical ability bias ([phi]/[rho]) for [[beta].
xi]] is a constant that ensures that, for a given significance level [xi], the
asymptotical critical values are the same in both I(0) and I(1) cases, with weight function [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] exp[-[{[g.
Preference increased gradually with continuations of food deliveries, reaching
asymptotical level with five component food deliveries.
Asymptotical behaviour of roots of infinite Coxeter groups.
Their derivations generally assume monotonicity, continuity and
asymptotical behavior of the item response function, plus general criteria or additional requirements like local stochastic independence, sufficiency of statistics, conditional inference or specific objectivity.
That is the reason why theapproximate
asymptotical methods are systematically used for the investigation of the internal gravity wave fields in stratified ocean.
Errors appear at range around 90[degrees] since PMM is an
asymptotical method which considers that the currents on each element are same.
The
asymptotical stability (Sun & Peng, 2009; Sun & Chen, 2004) and stabilization (Yang & Zhang, 2004; Sun & Chen, 2011) of discrete linear singular large-scale systems has been considered by Lyapunov function method.