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Weak persistence in the mean: (langle xrangle^>0).
The critical number between weak persistence and extinction is obtained.
Besides, sufficient conditions for extinction, persistence in mean, and weak persistence are obtained.
The definition of weak persistence is not a very appropriate one for stochastic models.
In addition, sufficient conditions for extinction, nonpersistence in the mean and weak persistence are obtained.
The threshold between weak persistence and extinction for prey population is established.
Similar(28)
Our findings suggest weak long-term persistence for instrumental data (average H = 0.59), which becomes stronger with scale, i.e. in the paleoclimatic reconstructions (average H = 0.75).
The adaptive estimates of both the disturbance and the structured perturbation terms include a consensus term in their adaptive laws which provide the first coupling of the networked systems and aims at providing a weak version of persistence of excitation.
Fragile larval skeletons may be the weak link for persistence of some species.
In this way, among subjects with HP /HP genotype, the HP significantly decreases synthesis of reactive oxygen species through its potent antioxidant function, whereas in the individuals with the HP /HP genotype, the antioxidant activity is weak favoring the persistence of inflammatory response [ 21].
Very weak connectivity should compromise persistence because 'rescues' are less likely.
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