Coexistence steady states in a predator-prey model

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • Christoph Walker

Organisationseinheiten

Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)87-99
Seitenumfang13
FachzeitschriftArchiv der Mathematik
Jahrgang95
Ausgabenummer1
PublikationsstatusVeröffentlicht - 2010

Abstract

An age-structured predator-prey system with diffusion and Holling-Tanner-type nonlinearities is investigated. Regarding the intensity of the fertility of the predator as bifurcation parameter, we prove that a branch of positive coexistence steady states bifurcates from the marginal steady state with no predator. A similar result is shown when the fertility of the prey varies.

ASJC Scopus Sachgebiete

Zitieren

Coexistence steady states in a predator-prey model. / Walker, Christoph.
in: Archiv der Mathematik, Jahrgang 95, Nr. 1, 2010, S. 87-99.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Walker C. Coexistence steady states in a predator-prey model. Archiv der Mathematik. 2010;95(1):87-99. doi: 10.1007/s00013-010-0133-1
Walker, Christoph. / Coexistence steady states in a predator-prey model. in: Archiv der Mathematik. 2010 ; Jahrgang 95, Nr. 1. S. 87-99.
Download
@article{258cd0aec8b34ac69f47f67bf87fd150,
title = "Coexistence steady states in a predator-prey model",
abstract = "An age-structured predator-prey system with diffusion and Holling-Tanner-type nonlinearities is investigated. Regarding the intensity of the fertility of the predator as bifurcation parameter, we prove that a branch of positive coexistence steady states bifurcates from the marginal steady state with no predator. A similar result is shown when the fertility of the prey varies.",
keywords = "Age structure, Bifurcation, Diffusion, Population model, Steady states",
author = "Christoph Walker",
note = "Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",
year = "2010",
doi = "10.1007/s00013-010-0133-1",
language = "English",
volume = "95",
pages = "87--99",
journal = "Archiv der Mathematik",
issn = "0003-889X",
publisher = "Birkhauser Verlag Basel",
number = "1",

}

Download

TY - JOUR

T1 - Coexistence steady states in a predator-prey model

AU - Walker, Christoph

N1 - Copyright: Copyright 2014 Elsevier B.V., All rights reserved.

PY - 2010

Y1 - 2010

N2 - An age-structured predator-prey system with diffusion and Holling-Tanner-type nonlinearities is investigated. Regarding the intensity of the fertility of the predator as bifurcation parameter, we prove that a branch of positive coexistence steady states bifurcates from the marginal steady state with no predator. A similar result is shown when the fertility of the prey varies.

AB - An age-structured predator-prey system with diffusion and Holling-Tanner-type nonlinearities is investigated. Regarding the intensity of the fertility of the predator as bifurcation parameter, we prove that a branch of positive coexistence steady states bifurcates from the marginal steady state with no predator. A similar result is shown when the fertility of the prey varies.

KW - Age structure

KW - Bifurcation

KW - Diffusion

KW - Population model

KW - Steady states

UR - http://www.scopus.com/inward/record.url?scp=84905031936&partnerID=8YFLogxK

U2 - 10.1007/s00013-010-0133-1

DO - 10.1007/s00013-010-0133-1

M3 - Article

AN - SCOPUS:84905031936

VL - 95

SP - 87

EP - 99

JO - Archiv der Mathematik

JF - Archiv der Mathematik

SN - 0003-889X

IS - 1

ER -