Sentence examples for behavior of model solutions from inspiring English sources
We use asymptotic analysis and numerical simulations to study the longtime behavior of model solutions.
Then, Hopf bifurcation analysis is carried out to illustrate the existence of sustained oscillatory behavior of the model solutions.
Consider in detail the behavior of the model solutions depending on the values of the parameters l, e, and M. For l > e, typical trajectories starting close to the equilibrium point are shown at Figure 1.
To get insight into the transient behavior of the model solutions, we have to consider the product of the mean parameter values.
Oscillatory behavior of the model solutions is also investigated.
An example of the dynamical behavior of the solutions of the model for data set 1 of Table 10 for the antiretroviral therapy levels (n_{rt}=0.5) and (n_{p}=0.6) are shown in Figure 3 for delay times just less than and just greater than the critical delay time.
Similarly, the random behavior of the solutions of our model will be analyzed from the simulations and solutions of the random and stochastic models.
The behavior of the solutions of the model as a function of r11 and r22 depends on the eigenvalues of the Jacobian at the nontrivial steady states.
In 1992, Gopalsamy and Weng [17] introduced a feedback control variable into logistic models and discussed the asymptotic behavior of solutions in logistic models with feedback controls, in which the control variables satisfy a certain differential equation.
More importantly, however, the simultaneous knowledge of the time dependence of E β (t) and the parametric portrait of the homogeneous model (2) (Fig. 1) allows one to identify transient behavior of the solutions of (5) (and, accordingly, of model (3)), i.e., the behavior of solutions prior to the time moment when E β (t) becomes constant.
The dynamical behavior of solutions of this model and its various modifications have been extensively studied by many authors during the last couple of decades.
