Fatal disease and demographic Allee effect: population persistence and extinction
Fatal disease and demographic Allee effect: population persistence and extinction
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DOI：
10.1080/17513758.2011.630489
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发表时间：
2012-01-01
影响因子：
2.8
通讯作者：
Yakubu, Abdul-Aziz
中科院分区：
文献类型：
--
作者：
Friedman, Avner;Yakubu, Abdul-Aziz
如果一个健康稳定的宿主种群在无病平衡时受到Allee效应的影响，那么少数感染致命疾病的个体会导致宿主种群灭绝吗？也就是说，Allee效应在高密度下重要吗？为了回答这个问题，我们使用一个易感染的流行病模型，以获得模型参数，导致主机种群的持久性（有或没有感染的个人）和主机灭绝。我们证明，即使在大的人口密度在主机人口统计问题的Allee效应的存在。我们表明，一个小扰动的无病平衡，最终可能导致宿主种群灭绝。此外，我们证明，由于致命的传染病的额外死亡有效地增加了Allee阈值的主机人口统计。
If a healthy stable host population at the disease-free equilibrium is subject to the Allee effect, can a small number of infected individuals with a fatal disease cause the host population to go extinct? That is, does the Allee effect matter at high densities? To answer this question, we use a susceptible-infected epidemic model to obtain model parameters that lead to host population persistence (with or without infected individuals) and to host extinction. We prove that the presence of an Allee effect in host demographics matters even at large population densities. We show that a small perturbation to the disease-free equilibrium can eventually lead to host population extinction. In addition, we prove that additional deaths due to a fatal infectious disease effectively increase the Allee threshold of the host population demographics.