Dynamics of a Scalar Population Model with Delayed Allee Effect

Dynamics of a Scalar Population Model with Delayed Allee Effect
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DOI：
10.1142/s0218127418501535
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发表时间：
2018-11
期刊：
Int. J. Bifurc. Chaos
影响因子：
--
通讯作者：
Xiaoyuan Chang;Junping Shi;Jimin Zhang
Xiaoyuan Chang;Junping Shi;Jimin Zhang
中科院分区：
其他
文献类型：
--
作者：
Xiaoyuan Chang;Junping Shi;Jimin Zhang

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本文考虑一类具有Allee效应型时滞增长率的纯量种群模型。平衡点的稳定性和相关的超临界Hopf分岔进行了分析。两个局部稳定平衡的吸引盆的特征在于参数值。特别是当时滞较大时，持续平衡点和极限环的吸引域收缩为一点，在Allee效应和时滞的共同作用下，种群发生全局灭绝.
A scalar population model with delayed growth rate of Allee effect type is considered in this paper. The stability of equilibria and associated supercritical Hopf bifurcations are analyzed. The basins of attraction of the two locally stable equilibria are characterized in terms of parameter values. In particular, when the time delay is large, the basin of attraction of the persistence equilibrium and limit cycle shrinks to a single point, so a global extinction of population occurs as a combined result of Allee effect and time delay.