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Believed to be extinct, with its last confirmed sighting in 1963, the Eskimo Curlew is very similar to the Whimbrel, but is smaller, with a shorter bill, plain underwings and lacks the Whimbrel's distinct crown stripes.
If (w_{i}<0) ((i=1,2,3)), the prey population (x t)) and both the predator populations (y(t)) and (z(t)) will be extinct with probability 1.
If (R^{s}_{0}:=frac{N beta-frac{1}{2}sigma^{2}N beta-frac{1}{), then for any initial value (I (0) = I_{0}in 0, N )), the solution of (1.3) obeys PBigl lim_{trightarrowinfty}I t)=0Bigr)=1, that is, the disease will be extinct with probability 1.
Similar(57)
By Corollary 3.2, species 1 is extinct with zero exponential extinction rate and species 2 is exponentially extinct.
By Theorems 3.1, 3.2 and 4.1, species 1 is persistent in mean and species 2 is extinct with zero exponential extinction rate.
During the 20th century, experts had feared the night parrot was extinct, with no confirmed sightings between 1912 and 1979.
Some of the relevant species are extinct, with no modern counterparts; the soils have changed under centuries of cultivation; the atmosphere, even the climate, is different now to what it was then.
If (k_langle-g-0.5delta_{1}^{2}r_{gle^+f^langle r_{1}rangle^<0), then the predator species y is extinct with probability 1.
In birds, DNA transposons have long been extinct, with the possible exception of a mariner family that was laterally transferred to the chicken genome (Wicker et al. 2005; Kordis 2009).
System (1.2) is said to be extinct exponentially with probability one if for any initial condition (x 0)in R^{2}_), the solution (x t)=(x_{1}(t), x_{2}(t))) satisfies (limsup_{trightarrow+infty}ln x_{i}(t)/t<0), (i=1, 2) a.s.s
Then, for any initial value ( x 0, y 0 ) ∈ R + 2, the solution ( x ( t ), y ( t ) ) to (4) will be extinct exponentially with probability one, that is, lim sup t → ∞ ln x ( t ) t ≤ a ˇ − σ ˆ 2 2 < 0, lim sup t → ∞ ln y ( t ) t ≤ b ˇ − σ ˆ 2 2 < 0 a.s.s
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com