HOST DEMOGRAPHIC ALLEE EFFECT, FATAL DISEASE, AND MIGRATION: PERSISTENCE OR EXTINCTION

被引：15

作者：

Friedman, Avner ^{[1
,2
]}

Yakubu, Abdul-Aziz ^{[3
]}

机构：

[1] Ohio State Univ, Math Biosci Inst, Columbus, OH 43210 USA

[2] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

[3] Howard Univ, Dept Math, Washington, DC 20059 USA

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2012年 / 72卷 / 05期

基金：

美国国家科学基金会;

关键词：

Allee effect; extinction; migration; patches; persistence; TIME; DYNAMICS; MODELS;

D O I：

10.1137/120861382

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we focus on biodiversity, a major problem for ecosystem resilience. We use extensions of the suspectible-infected (SI) epidemic model of Hilker et al. to study how population persistence or extinction of a vulnerable species relates to habitat dependent Allee thresholds, fatal disease dynamics, and migration rates in both discrete and continuum sets of compartments. We analyze the migration-linked models and establish verifiable conditions that guarantee host population persistence (with or without infected individuals) or extinction.

引用

页码：1644 / 1666

页数：23

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