Exact(6)
In this subsection, we determine the existence of the equilibrium points of model (2.1).
It follows from Lemma 4.5 that we have the main results for the Poincaré map of the impulsive points of model (2.3).
The maximum length of subintervals is decreased by increasing the number of sample points of model input variables in the proposed approach, which guarantees the convergence condition of the space-partition approach well.
Obviously, from assumption (H2), the equilibrium points of model (4) are the solutions of system of equations: h i = 0, i = 1, 2, …, n, h ¯ j = 0, j = 1, 2, …, m. (5).
When considering the complexity of the mixture design, this difference is deemed to be sufficiently small and the model was thus still considered fit for use. Figure 5 depicts the scatter plot obtained from Design-Expert® for comparison of the predicted- and measured freeze points of model (9).
Next we outline the stability conditions for the three fixed points of model (1).
Similar(54)
We used our methods to analyze the fixed points of models for hematopoietic stem cell differentiation, tryptophan regulation in Escherichia coli and the repressilator in Escherichia coli.
"It goes against the purpose and point of Model U.N. and, for that matter, the real U.N.," said Phill Venice, a University of Pennsylvania senior who has participated in 37 conferences.
In this section, we will proof the existence and uniqueness of equilibrium point of model (1).
Clearly, (E_{0}= 0,0)) is the trivial equilibrium point of model (3).
Affens et al. [18] studied the effect of composition on the freeze point of model hydrocarbon fuels.
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