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所属单位：理学院

发表刊物：MATHEMATICAL METHODS IN THE APPLIED SCIENCES

关键字：Allee effect global asymptotic stability host-parasitoid model refuge transcritical bifurcation uniform persistence

摘要：In this paper, we discuss the qualitative behavior of a discrete host-parasitoid model with the host subject to refuge and strong Allee effects. More precisely, we study the local and global asymptotic stability, stable manifolds and unstable manifolds of boundary equilibrium points, existence and unique positive equilibrium point, local and global behavior of the positive equilibrium point, and the uniform persistence for the model with the host subject to the refuge or both refuge and strong Allee effects. It is also proved that the model undergoes a transcritical bifurcation in a small neighborhood of the boundary equilibrium point. Some numerical simulations are given to support our theoretical results. We can obtain that the addition of the refuge may make the parasitoids go extinct while the hosts survive or may stabilize the host-parasitoid interaction; the addition of both refuge and strong Allee effects has either a negative or positive impact on the coexistence of both populations.

ISSN号：0170-4214

是否译文：否

发表时间：2018-03-30

合写作者：Wu, Daiyong

通讯作者：赵洪涌