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A sufficient criterion for extinction is established.
We can give a criterion for extinction of the population in terms of the endemic proportion of individuals infected by the primary disease, y* + z*.
Critical population size has been used in deterministic analytical treatments to set a heuristic threshold criterion for extinction vulnerability (Gomulkiewicz and Holt 1995), while by simulation of a finite population, extinction can be observed directly (Boulding and Hay 2001).
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They obtained the sufficient criteria for extinction, non-persistence in the mean, and weak persistence in the mean.
Its sign gives a criterion for either extinction or persistence.
The IUCN is known for its authoritative Red List of Threatened Species, which created globally accepted criteria for assessing extinction risk.
FMDV WT and M296I were subjected to serial cytolytic passages in BHK-21 cells in the presence or absence of a high concentration (5 mM) of R. FMDV WT was extinguished by passage 6, according to the criteria for virus extinction (absence of infectivity and of virus-specific genetic material), detailed in Materials and Methods (Fig. 1A).
Jiao et al. [18] considered a periodic impulsive harvesting prey-predator system with prey hibernation, and they obtained the conditions of the global asymptotic stability criterion for the predator-extinction boundary and the permanent conditions.
Computational results over a wide range indicated a critical flame temperature of 1130 K at extinction, which appears to be a valid unified extinction criterion for the flame under study.
In this paper we present an extinction criterion for flames subject to unsteady dissipation rates.
The criterion for the detection of extinction of secondary arc is harmonics amplitudes, which is calculated after the TT-transform.
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