On stochastic population model with the Allee effect
On stochastic population model with the Allee effect
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DOI:
10.1016/j.mcm.2010.02.051
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发表时间:
2010-07-01
影响因子:
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通讯作者:
Jovanovic, Miljana
中科院分区:
文献类型:
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作者:
Krstic, Marija;Jovanovic, Miljana
This paper discusses the existence, uniqueness and asymptotic stability of the solution to the stochastic population model with the Allee effect, which is represented by the stochastic differential equation dN(t) = N(t)(1 - Nt/T) (Nt/K - 1) (r dt + alpha dW(t)). We are focused on the correlation between the growth rate r and population size N(t), which is shown to be positive if the population size N(t) is above the Allee threshold T, and negative if N(t) < T. (C) 2010 Elsevier Ltd. All rights reserved.