Coexistence steady states in a predator-prey model

authored by

Christoph Walker

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.

Organisation(s)

Institute of Applied Mathematics

Type

Article

Journal

Archiv der Mathematik

Volume

95

Pages

87-99

No. of pages

13

ISSN

0003-889X

Publication date

2010

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

General Mathematics

Electronic version(s)

https://doi.org/10.1007/s00013-010-0133-1 (Access: Unknown)