Transient chaos and memory effect in the Rosenzweig-MacArthur system with dynamics of consumption rates

被引：1

作者：

Gawronski, Przemyslaw ^{[1
]}

Kwapien, Jaroslaw ^{[2
]}

Kulakowski, Krzysztof ^{[1
]}

机构：

[1] AGH Univ Krakow, Fac Phys & Appl Comp Sci, Al Mickiewicza 30, PL-30059 Krakow, Poland

[2] Polish Acad Sci, Inst Nucl Phys, Ul Radzikowskiego 152, PL-31342 Krakow, Poland

来源：

PHYSICAL REVIEW E | 2024年 / 109卷 / 03期

关键词：

PREDATOR-PREY DYNAMICS; MODEL; STABILITY;

D O I：

10.1103/PhysRevE.109.034210

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We consider the system of the Rosenzweig-MacArthur equations with one consumer and two resources. Recently, the model has been generalized by including an optimization of the consumption rates beta i [P. Gawronski et al., Chaos 32, 093121 (2022)]. Also, we have assumed that beta 1 + beta 2 = 1, which reflects the limited amount of time that can be devoted to a given type of resource. Here we investigate the transition to the phase where one of the resources becomes extinct. The goal is to show that the stability of the phase with two resources strongly depends on the initial value of beta i. Our second goal is to demonstrate signatures of transient chaos in the time evolution.

引用

页数：8