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By contrast, 11 of 15 1x populations went extinct under stressful conditions, with a median extinction time of nine weeks.
We also prove elliptic Harnack inequalities near the extinction time, as a consequence of the study of the fine asymptotic behavior near the finite extinction time.
Running 10,000 numerical simulations, we obtain the average extinction time of (I t)).
The average extinction time for different noise intensities is 132.5930, 125.9268 and 119.3161, respectively.
By (14), the extinction time (T_{mathrm{ex}} = T_{mathrm{ex}} ( tau )) for (N_{t}) is given as follows.
Therefore, we can assert that the average extinction time of disease decreases with the increase of noises.
In addition, Figure 4 plots the extinction time (T_{mathrm{ex}}) computed with the optimal opening time (tau^) in the 2-D (alpha^{ ( 1 )} - alpha^{ ( 2 )} - alpha^er space.
Extinction time, peak temperature, and radiative loss fraction were found to be independent of flow rate except at very low flow rates.
We prove the existence of a finite extinction time for the solutions of the Dirichlet problem for the total variation flow.
In addition, it enables us to describe the behavior of solution of non-local fast diffusion equation near their extinction time.
We consider how to choose the reproduction rates in a one-dimensional contact process on a finite set to maximize the growth rate of the extinction time with the population size.
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