GLOBAL STABILITY IN THE 2D RICKER EQUATION REVISITED

被引：13

作者：

Ryals, Brian ^{[1
]}

Sacker, Robert J. ^{[2
]}

机构：

[1] Calif State Univ Bakersfield, Dept Math, Bakersfield, CA 93311 USA

[2] Univ Southern Calif, Dept Math, Los Angeles, CA 90089 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2017年 / 22卷 / 02期

关键词：

Global stability; two-dimensional competition model; discrete dynamics; Ricker model; MODELS;

D O I：

10.3934/dcdsb.2017028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We offer two improvements to prior results concerning global stability of the 2D Ricker Equation. We also offer some new methods of approach for the more pathological cases and prove some miscellaneous results including a special nontrivial case in which the mapping is conjugate to the 1D Ricker map along an invariant line and a proof of the non-existence of period-2 points.

引用

页码：585 / 604

页数：20

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