Sentence examples for trajectory of model from inspiring English sources

Now, we take the derivative of V with regard to t along the trajectory of model (1.2).

If (mathit{RL}leq I_), then any trajectory of model (2.5) initiating from section (Sigma_{p_{max}}) will reach section (Sigma _{mathit{RL}}) and experience infinitely many impulses by the geometrical construction of the phase space of model (2.5).

If the trajectory of model (2.5) with the initial condition ((S_{0},I_{0})) ((I_{0}

Figure 1 The state trajectories of model ( 5.1 ) without impulses.

Calculating the time derivative of V 1 t) along the trajectories of model (8), we obtain (20).

Figure 2 The state trajectories of model ( 5.1 ) with impulses ( 5.2 ).

Therefore, we always assume that there exist trajectories of model (2.5) reaching section (Sigma_{mathit{RL}}) infinitely many times.

Figure 1a,b depicts the true correlation and complementary correlation functions of x t, Figure 1c,d the simulated simulated ones corresponding to model 1 and Figure 1e,f the simulated ones for model 2. We can see that the simulated trajectories of model 1 pick up adequately the behavior of the correlation function.

It is then seen that the initial value problems for models (2.2) are biologically well posed in the sense that the trajectories of model (2.2) with the initial condition ((S(t_{0}),I(t_{0}), R(t_{0}))in {mathbb {R}}_{3}^) are positivity preserving.

Each run of the simulation gives one possible trajectory of the model through state space.

Each stochastic simulation represents one possible trajectory of the model (rather than average behaviour which is what the ODE analysis provides, in general).