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The simplified incidence function model with small delay time was employed to study the stability and mean extinction time of a metapopulation. By numerically computing the mean passage time and analyzing the stationary probability distribution function of the metapopulation,we found that:1) As delay time increases,the probability that pathe are occupied by a metapopulation decreases; 2) As delay time increases,the mean extinction time of a metapopulation decreases.
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Keywords:
- metapopulation /
- time-delay effect /
- extinction time
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