Sentence examples for respective equilibria from inspiring English sources

We have first proposed formally a game model to define how the network manager and mobile users can obtain their respective equilibria by means of a Stackelberg formulation.

In the ' Hierarchical game formulation' section, we present the game theoretic framework and propose formally how the network manager and mobile users can obtain their respective equilibria by means of a Stackelberg formulation.

Each type of transitions corresponds to a different "crash", or "degeneracy" of the respective equilibria or cycles.

Bifurcation of equilibria with more symmetry typically leads to several equilibria with less ("broken") symmetry.

Thus, the attainable distillate and bottom compositions are described by the invariant manifolds of the singular points of the respective vapor liquid equilibria.

The latter would entail increased CO2 and H2O outgassing from aqueous solution and such degassing would strongly enhance local supersaturation and further CaCO3 precipitation considering the respective chemical equilibria reported in the previous Eq. (2).

The results of perturbing the Culex and Anopheles models by varying initial L3 values from the vicinity of the respective unstable equilibria are illustrated in Figure 3.

Figure 2 shows simulation based illustrations of a few phase planes achievable by of our system, with the respective nullclines, equilibria and cycles (which are allowed to coexist in the same phase plane), together with representative trajectories.

With regard to allele frequencies we asked the following question: are the genes for cooperation (C) and quorum sensing (S and R) selected for beyond their respective mutation-selection equilibria based on the metabolic selection coefficients sC = (MC −M0)/MC, sS = (MS −M0)/MS and sR = (MR −M0)/MR and the (uniform) mutation rate μ ?

Tripathi et al. studied local and global stability of various boundary equilibria and coexisting equilibria.

The decanters are modeled using the respective liquid multi-phase equilibria.