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

共 50 条

[21] Persistence Analysis of a Stochastic Single Species Population Model with Allee Effect [J].

Xu, Chaoqun ;

Li, Guohua .

FLUCTUATION AND NOISE LETTERS, 2022, 21 (04)

[22] PERSISTENCE AND EXTINCTION OF POPULATION IN REACTION-DIFFUSION-ADVECTION MODEL WITH WEAK ALLEE EFFECT GROWTH [J].

Wang, Yan ;

Shi, Junping .

SIAM JOURNAL ON APPLIED MATHEMATICS, 2019, 79 (04) :1293-1313

[23] EXTINCTION IN STOCHASTIC PREDATOR-PREY POPULATION MODEL WITH ALLEE EFFECT ON PREY [J].

Jovanovic, Miljana ;

Krstic, Marija .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (07) :2651-2667

[24] When the Allee threshold is an evolutionary trait: Persistence vs. extinction [J].

Alfaro, Matthieu ;

Girardin, Leo ;

Hamel, Francois ;

Rogues, Lionel .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2021, 155 :155-191

[25] EPIDEMIOLOGICAL MODELS WITH DEMOGRAPHIC ALLEE EFFECT [J].

Hilker, F. .

BIOMAT 2008, 2009, :52-77

[26] Combined impacts of the Allee effect, delay and stochasticity: Persistence analysis [J].

Bashkirtseva, Irina ;

Ryashko, Lev ;

Spagnolo, Bernardo .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 84

[27] Generalized Beddington model with the host subject to the Allee Effect [J].

Ufuktepe, U. ;

Kapcak, S. .

OPEN PHYSICS, 2015, 13 (01) :428-434

[28] How environmental noise can contract and destroy a persistence zone in population models with Allee effect [J].

Bashkirtseva, Irina ;

Ryashko, Lev .

THEORETICAL POPULATION BIOLOGY, 2017, 115 :61-68

[29] Stability of Modified Host-Parasitoid Model with Allee Effect [J].

Gumus, Ozlem Ak ;

Selvam, A. George Maria ;

Janagaraj, R. .

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2020, 15 (02) :1032-1045

[30] Experimental demonstration of population extinction due to a predator-driven Allee effect [J].

Kramer, Andrew M. ;

Drake, John M. .

JOURNAL OF ANIMAL ECOLOGY, 2010, 79 (03) :633-639

← 1 2 3 4 5 →