Coexistence steady states in a predator-prey model

被引：2
|
作者：
Walker, Christoph [1 ]
机构：
[1] Leibniz Univ Hannover, Inst Angew Math, D-30167 Hannover, Germany
来源：
ARCHIV DER MATHEMATIK | 2010年 / 95卷 / 01期
关键词：
Age structure; Diffusion; Population model; Bifurcation; Steady states; BIFURCATION; EQUATIONS;
D O I：
10.1007/s00013-010-0133-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：87 / 99
页数：13
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