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Exact(3)
The creature is still extinct, but it has now been re-classified as a dinosaur after being sent into exile by the scientific community.
In comparison with [8] and [11], we point out that species i is still extinct when (sigma_{i}^{2}=2b_{i}) by using some novel stochastic analysis techniques.
Further, we show that a suitable feedback control on predator species can make prey species that is on the brink of extinction become globally stable, but under the conditions of small feedback control on predator, the prey species still extinct, whereas the predator species is stable at certain values.
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The disease is a close cousin of the bubonic plague, or the Black Death, which swept Europe in the fourteenth century and is still not extinct, as Joan Acocella wrote in 2005.
If (sigma_{i}^{2}=2b_{i}), the solution (x_{i}(t)) to system (1.2) has the property that lim_{ttoinfty}x_{i}(t)=0 quad textit{a.s.} (3.14) That is, the species i of system (1.2) still become extinct with probability one.
If we decrease the white noises of the species (x_{1}) and let (sigma ^{2}_{1}(t)=0.2+0.04sin(t)), while the values of other parameters are the same as above, then (b^_{1}=0.11>0), at the moment the species (x_{2}) will still be extinct, while the species (x_{1}) can survive (see Figure 2).
This is The Gambler's Ruin: no matter how fit you are (no matter how much of the money at the poker table you have) at any given place and time, you can still go extinct if conditions change (someone with almost no money can have a run of good cards and take all your money).
(ii) If (sigma_{i}^{2}=2b_{i}), the solution (x_{i}(t)) to system (1.2) has the property that lim_{ttoinfty}x_{i}(t)=0 quad textit{a.s.} (3.14) That is, the species i of system (1.2) still become extinct with probability one. .
However, even if the equilibrium number of cells lies above one, the tumor cell population can still go extinct during oscillatory dynamics that can occur before the dynamics reach equilibrium.
However, if the mean fitness effect on their hosts is negative, a given family of IS elements may still go extinct eventually.
" A couple without a male child is the same as not having children at all, after all your name will still become extinct as there is no male to name children with your surname"- (A man with children in a focus group discussion).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com