Random Dynamical Systems Generated by Two Allee Maps

被引：0
|
作者：
Kovac, Jozef [1 ]
Jankova, Katarina [1 ]
机构：
[1] Comenius Univ, Fac Math Phys & Informat, Dept Appl Math & Stat, Bratislava 84248, Slovakia
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2017年 / 27卷 / 08期
关键词：
Random dynamical systems; Allee maps; Markov process; BEVERTON-HOLT EQUATION; DIFFERENCE-EQUATIONS; POPULATION BIOLOGY; EXTINCTION; MODELS;
D O I：
10.1142/S0218127417501176
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study random dynamical systems generated by two Allee maps. Two models are considered - with and without small random perturbations. It is shown that the behavior of the systems is very similar to the behavior of the deterministic system if we use strictly increasing Allee maps. However, in the case of unimodal Allee maps, the behavior can dramatically change irrespective of the initial conditions.
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页数：9
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