If income elasticity is unity, then the steady state capital is independent from productivity in the agricultural sector.
By means of suitable Lyapunov functionals and LaSalle's invariance principle, it is proven that if the basic reproduction number is less than unity, the disease-free steady state is globally asymptotically stable; if the basic reproduction number is greater than unity, the endemic steady state is globally asymptotically stable.
By constructing suitable Lyapunov functionals and using LaSalle's invariance principle, it has been shown that if the basic reproduction number is less than unity, the disease-free steady state is globally asymptotically stable and the disease dies out; if the basic reproduction number is greater than unity, the endemic steady state is globally asymptotically stable and the disease persists.
The duration of the infection was hence defined as the length of time until pathogen load has decreased to unity or reached the steady state.
Furthermore, since all the elements in F i) are bounded by zero and unity, the values of the steady-state MSD and EMSE given by (76) and (78) are both very small values when i is large enough.
It is Mr Sharon's position battling the Palestinian uprising at the head of the unity government that has given him his remarkably steady support among the general public.
For particle to ion concentrations above unity, the model predicts that the time to steady state increases strongly with both particle size and aerosol particle concentration.
A proposed steady state model is presented whereby unity rotor power factor (URPF) of the DFIG and wind-turbine MPPT variables are the state variables.
The solution to the Fokker-Planck ODE yields the steady-state probability density function, but an arbitrary constant appears in the solution whose value must be such that the total area under the steady-state probability density function is unity.
The Eigentrust metric requires the trust network to be a stochastic matrix (i.e. the sum of the trust values of the out-edges of all vertices must sum to unity) and the inferred trust values are given by the steady state distribution of the corresponding Markov chain (i.e. the left eigenvector of the stochastic matrix with unity eigenvalue, hence the name of the metric).
