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For now, he is more in the mood to sit and reflect on grand subjects such as time, extinction and the attainment of what Teilhard de Chardin called the Omega Point: a zen-like state of relinquished consciousness.
As a first step we discuss the infinite time extinction of the solution.
We first look at the unstructured model; this yields a singular system of ordinary differential equations having interesting dynamical features, such as finite time extinction or persistence of populations.
Through the main points, we see that there exists a critical curvilinear line q ∗ = min ( p, 1 ) such that the ( q, p ) -parameter plane is divided into three parts, with the bottom part corresponding to a nonextinction solution and the top part of the line corresponding to all the infinite time extinctions or the finite time extinction.
Similar to the first case, it is well known that g ( t ) vanishes in finite time since r < 1 and g ( t ) is a super-solution of (1.1) provided that u 0 ( x ) is small enough such that ∥ u 0 ∥ L ∞ ≤ g 0. Applying Proposition 2.1 to u ( x, t ) and g ( t ) guarantees the finite time extinction of u ( x, t ).
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Whenever humans settle a land mass for the first time, extinctions tend to follow.
They timed extinction training to when the rats' brains were reconsolidating the fearful tone memory, erasing that memory in the process.
"We tested a lot of models across a huge range of human arrival times and extinction times," Prescott says.
During the course of the experiment these extinctions occurred at a rather constant rate of approximately 1.25 clonal extinctions per bottleneck and the mean time to extinction of the 20 replicate lines was 8.55 ± 4.07 bottlenecks.
TTE is the median Time To Extinction among lines that went extinct.
The main response variable of interest was the time to extinction, so the experimental generations ended when both species went extinct.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com