具有猎物迁移的离散ricker型捕食者-猎物模型的多参数分岔

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematics and Computers in Simulation Pub Date : 2025-01-30 DOI:10.1016/j.matcom.2025.01.020

Karima Mokni, Hajar Mouhsine, Mohamed Ch-Chaoui

{"title":"具有猎物迁移的离散ricker型捕食者-猎物模型的多参数分岔","authors":"Karima Mokni, Hajar Mouhsine, Mohamed Ch-Chaoui","doi":"10.1016/j.matcom.2025.01.020","DOIUrl":null,"url":null,"abstract":"<div><div>This study examines a discrete-time prey–predator model featuring a Ricker-type growth function and immigration effects to uncover the dynamics shaping ecosystem stability. Through detailed bifurcation analysis, we identify codimension-one bifurcations, including transcritical, period-doubling, and Neimark–Sacker bifurcations, as well as codimension-two bifurcations involving 1:2, 1:3, and 1:4 resonances. Our results reveal that low immigration rates stabilize the system, ensuring predictable population dynamics, while exceeding critical thresholds induces complex behaviors, such as periodic oscillations and chaos. We numerically analyze the dynamics associated with 1:2, 1:3, and 1:4 resonances, utilizing two-parameter bifurcation diagrams and basins of attraction to illustrate the transitions and stability boundaries. These findings highlight the dual role of immigration in stabilizing and destabilizing ecosystems, offering valuable insights for ecological modeling, management, and conservation strategies.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"233 ","pages":"Pages 39-59"},"PeriodicalIF":4.4000,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Multi-parameter bifurcations in a discrete Ricker-type predator–prey model with prey immigration\",\"authors\":\"Karima Mokni, Hajar Mouhsine, Mohamed Ch-Chaoui\",\"doi\":\"10.1016/j.matcom.2025.01.020\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This study examines a discrete-time prey–predator model featuring a Ricker-type growth function and immigration effects to uncover the dynamics shaping ecosystem stability. Through detailed bifurcation analysis, we identify codimension-one bifurcations, including transcritical, period-doubling, and Neimark–Sacker bifurcations, as well as codimension-two bifurcations involving 1:2, 1:3, and 1:4 resonances. Our results reveal that low immigration rates stabilize the system, ensuring predictable population dynamics, while exceeding critical thresholds induces complex behaviors, such as periodic oscillations and chaos. We numerically analyze the dynamics associated with 1:2, 1:3, and 1:4 resonances, utilizing two-parameter bifurcation diagrams and basins of attraction to illustrate the transitions and stability boundaries. These findings highlight the dual role of immigration in stabilizing and destabilizing ecosystems, offering valuable insights for ecological modeling, management, and conservation strategies.</div></div>\",\"PeriodicalId\":49856,\"journal\":{\"name\":\"Mathematics and Computers in Simulation\",\"volume\":\"233 \",\"pages\":\"Pages 39-59\"},\"PeriodicalIF\":4.4000,\"publicationDate\":\"2025-01-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics and Computers in Simulation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0378475425000205\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics and Computers in Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0378475425000205","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}

引用次数: 0

摘要

本研究考察了一个离散时间捕食者-猎物模型，该模型具有里克型生长函数和移民效应，以揭示形成生态系统稳定性的动力学。通过详细的分岔分析，我们确定了共维一分岔，包括跨临界分岔、倍周期分岔和neimmark - sacker分岔，以及涉及1:2、1:3和1:4共振的共维二分岔。我们的研究结果表明，低移民率稳定了系统，确保了可预测的人口动态，而超过临界阈值会导致复杂的行为，如周期振荡和混沌。我们数值分析了1:2、1:3和1:4共振相关的动力学，利用双参数分岔图和吸引力盆地来说明过渡和稳定性边界。这些发现突出了移民在稳定和破坏生态系统方面的双重作用，为生态模型、管理和保护策略提供了有价值的见解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Multi-parameter bifurcations in a discrete Ricker-type predator–prey model with prey immigration

This study examines a discrete-time prey–predator model featuring a Ricker-type growth function and immigration effects to uncover the dynamics shaping ecosystem stability. Through detailed bifurcation analysis, we identify codimension-one bifurcations, including transcritical, period-doubling, and Neimark–Sacker bifurcations, as well as codimension-two bifurcations involving 1:2, 1:3, and 1:4 resonances. Our results reveal that low immigration rates stabilize the system, ensuring predictable population dynamics, while exceeding critical thresholds induces complex behaviors, such as periodic oscillations and chaos. We numerically analyze the dynamics associated with 1:2, 1:3, and 1:4 resonances, utilizing two-parameter bifurcation diagrams and basins of attraction to illustrate the transitions and stability boundaries. These findings highlight the dual role of immigration in stabilizing and destabilizing ecosystems, offering valuable insights for ecological modeling, management, and conservation strategies.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

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.