具有强阿利效应和移民的达尔文里克制系统的非线性动力学

IF 4.4 2区 数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Karima Mokni , Halima Ben Ali , Bapan Ghosh , Mohamed Ch-Chaoui
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引用次数: 0

摘要

本文通过全面的定性和动力学分析,研究了达尔文里克尔系统的复杂动力学。我们的研究表明,该系统表现出与 1:2、1:3 和 1:4 共振相关的 Neimark-Sacker 分岔、周期加倍分岔和二维分岔。这些发现是利用分岔和中心流形理论得出的。我们用数字说明了所有分岔结果和混沌特征,从而提供了对系统行为的透彻理解。对达尔文里克尔系统的详细研究,重点是移民和强阿利效应之间的相互作用,加深了我们对驱动种群动态的复杂机制的理解。此外,它还强调了生态建模的重要意义,尤其是在预测生态系统对外部扰动(如气候变化和物种入侵)的反应方面。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nonlinear dynamics of a Darwinian Ricker system with strong Allee effect and immigration
In this paper, we investigate the complex dynamics of a Darwinian Ricker system through a comprehensive qualitative and dynamical analysis. Our research shows that the system exhibits Neimark–Sacker bifurcation, period-doubling bifurcation, and codimension-two bifurcations associated with 1:2, 1:3, and 1:4 resonances. These findings are derived using bifurcation and center manifold theories. We numerically illustrate all bifurcation results and chaotic features, providing a thorough understanding of the system’s behavior. This detailed examination of the Darwinian Ricker system, with a focus on the interplay between immigration and the strong Allee effect, enhances our understanding of the intricate mechanisms driving population dynamics. Furthermore, it highlights the significant implications for ecological modeling, particularly in predicting ecosystem responses to external perturbations such as climate change and species invasions.
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来源期刊
Mathematics and Computers in Simulation
Mathematics and Computers in Simulation 数学-计算机:跨学科应用
CiteScore
8.90
自引率
4.30%
发文量
335
审稿时长
54 days
期刊介绍: The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles. Mathematics and Computers in Simulation, published monthly, is the official organ of IMACS, the International Association for Mathematics and Computers in Simulation (Formerly AICA). This Association, founded in 1955 and legally incorporated in 1956 is a member of FIACC (the Five International Associations Coordinating Committee), together with IFIP, IFAV, IFORS and IMEKO. Topics covered by the journal include mathematical tools in: •The foundations of systems modelling •Numerical analysis and the development of algorithms for simulation They also include considerations about computer hardware for simulation and about special software and compilers. The journal also publishes articles concerned with specific applications of modelling and simulation in science and engineering, with relevant applied mathematics, the general philosophy of systems simulation, and their impact on disciplinary and interdisciplinary research. The journal includes a Book Review section -- and a "News on IMACS" section that contains a Calendar of future Conferences/Events and other information about the Association.
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