25 Citations (Scopus)

Abstract

In this article, we study the population dynamics of a two-species discrete-time competition model where each species suffers from either predator saturation induced Allee effects and/or mate limitation induced Allee effects. We focus on the following two possible outcomes of the competition: 1. one species goes to extinction; 2. the system is permanent. Our results indicate that, even if one species' intra-specific competition is less than its inter-specific competition, weak Allee effects induced by predation saturation can promote coexistence of the two competing species. This is supported by the outcome of two-species competition models without Allee effects. Also, we discuss our results and future work on multiple attractors in competition models with Allee effects.

Original languageEnglish (US)
Pages (from-to)3329-3345
Number of pages17
JournalNonlinear Analysis: Real World Applications
Volume12
Issue number6
DOIs
StatePublished - Dec 2011

Fingerprint

Allee Effect
Population Dynamics
Coexistence
Competition Model
Saturation
Competing Species
Discrete-time Model
Predator
Population dynamics
Extinction
Attractor

Keywords

  • Allee effects
  • Coexistence
  • Competition
  • Extinction
  • Permanence
  • Ricker's model

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Computational Mathematics
  • Engineering(all)
  • Medicine(all)
  • Economics, Econometrics and Finance(all)

Cite this

Weak Allee effects and species coexistence. / Kang, Yun; Yakubu, Abdul Aziz.

In: Nonlinear Analysis: Real World Applications, Vol. 12, No. 6, 12.2011, p. 3329-3345.

Research output: Contribution to journalArticle

Kang, Yun ; Yakubu, Abdul Aziz. / Weak Allee effects and species coexistence. In: Nonlinear Analysis: Real World Applications. 2011 ; Vol. 12, No. 6. pp. 3329-3345.
@article{ab273167c5f542909edbb92fd3054b44,
title = "Weak Allee effects and species coexistence",
abstract = "In this article, we study the population dynamics of a two-species discrete-time competition model where each species suffers from either predator saturation induced Allee effects and/or mate limitation induced Allee effects. We focus on the following two possible outcomes of the competition: 1. one species goes to extinction; 2. the system is permanent. Our results indicate that, even if one species' intra-specific competition is less than its inter-specific competition, weak Allee effects induced by predation saturation can promote coexistence of the two competing species. This is supported by the outcome of two-species competition models without Allee effects. Also, we discuss our results and future work on multiple attractors in competition models with Allee effects.",
keywords = "Allee effects, Coexistence, Competition, Extinction, Permanence, Ricker's model",
author = "Yun Kang and Yakubu, {Abdul Aziz}",
year = "2011",
month = "12",
doi = "10.1016/j.nonrwa.2011.05.031",
language = "English (US)",
volume = "12",
pages = "3329--3345",
journal = "Nonlinear Analysis: Real World Applications",
issn = "1468-1218",
publisher = "Elsevier BV",
number = "6",

}

TY - JOUR

T1 - Weak Allee effects and species coexistence

AU - Kang, Yun

AU - Yakubu, Abdul Aziz

PY - 2011/12

Y1 - 2011/12

N2 - In this article, we study the population dynamics of a two-species discrete-time competition model where each species suffers from either predator saturation induced Allee effects and/or mate limitation induced Allee effects. We focus on the following two possible outcomes of the competition: 1. one species goes to extinction; 2. the system is permanent. Our results indicate that, even if one species' intra-specific competition is less than its inter-specific competition, weak Allee effects induced by predation saturation can promote coexistence of the two competing species. This is supported by the outcome of two-species competition models without Allee effects. Also, we discuss our results and future work on multiple attractors in competition models with Allee effects.

AB - In this article, we study the population dynamics of a two-species discrete-time competition model where each species suffers from either predator saturation induced Allee effects and/or mate limitation induced Allee effects. We focus on the following two possible outcomes of the competition: 1. one species goes to extinction; 2. the system is permanent. Our results indicate that, even if one species' intra-specific competition is less than its inter-specific competition, weak Allee effects induced by predation saturation can promote coexistence of the two competing species. This is supported by the outcome of two-species competition models without Allee effects. Also, we discuss our results and future work on multiple attractors in competition models with Allee effects.

KW - Allee effects

KW - Coexistence

KW - Competition

KW - Extinction

KW - Permanence

KW - Ricker's model

UR - http://www.scopus.com/inward/record.url?scp=80052028827&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80052028827&partnerID=8YFLogxK

U2 - 10.1016/j.nonrwa.2011.05.031

DO - 10.1016/j.nonrwa.2011.05.031

M3 - Article

AN - SCOPUS:80052028827

VL - 12

SP - 3329

EP - 3345

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

SN - 1468-1218

IS - 6

ER -